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+\definecolor{uipaleblue}{RGB}{96,123,139} +\definecolor{uiblack}{RGB}{0, 0, 0} + +% caption styling +%\DeclareCaptionFont{uiblack}{\color{uiblack}} +%\DeclareCaptionFont{uipoppy}{\color{uipoppy}} +%\captionsetup{labelfont={uipoppy},textfont=uiblack} + +% see the macros.tex file for definitions +\include{macros } + +% title slide definition +\title{$\Lambda_c \to p \mu \mu$ , $\Lambda_c \to \mu \mu \mu$} +%\subtitle{a bias report} +\author{Johannes Albrecht$^{1}$, \underline{Marcin Chrz\k{a}szcz}$^{2,3}$, Tadeusz Lesiak$^{3}$, Oliver Grunberg$^{4}$} +\institute[UTH] +{ +$ ^1$ Technische Universitaet Dortmund \\ +$ ^2$ University of Zurich \\ +$ ^3$ Institute of Nuclear Physics, Krakow \\ +$ ^4$ University of Rostock \\ +} + + + + +\date{$8^{th}$ May 2013} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\begin{document} + + + + +\setbeamertemplate{background} +{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}} +\setbeamertemplate{footline}[default] + +\begin{frame} +\vspace{1.1cm} +\begin{columns} +\column{2.75in} + \titlepage + + \begin{center} + % \includegraphics[height=1.0cm ]{pic/uzh.jpg} + % \hspace{0.5cm} + % \includegraphics[height=1.5cm]{pic/babar.jpg} + \hspace{1cm} + \includegraphics[height=1.0cm]{pic/ifj.png} + \hspace{1cm} + %\includegraphics[height=1.0cm]{pic/SNS.jpg} + \end{center} + \vspace{10cm} +\column{2.0in} +\end{columns} +\end{frame} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + + + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + + + + + + + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + +\title{Report on $\tau \to p \Plepton \Plepton$} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%2>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Motivation} +\begin{frame}\frametitle{Motivation} + +\begin{small} +Following the success of $\tau \to 3 \mu$ and $\tau \to p \mu \mu$ (published 2 weeks ago) we decided to go one step further and analyse analogous channels for $\Lambda_c$. +\begin{itemize} +\item Decays have different physics motivations: +\end{itemize} +\begin{center} + \begin{tabular}{ l | l } + $\tau \to 3 \mu$ LFV & $\Lambda_c \to 3 \mu$ $|B-L|= 0$ \\ + $\tau^{+} \to p \mu^{-} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to p \mu^{-} \mu^{+} $ FCNC \\ + $\tau^{+} \to \bar{p} \mu^{+} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+} $ $|B-L|= 0$ \\ + + \end{tabular} +\end{center} + +\begin{itemize} +\item The current limits ($@$ 90\% CL): +\end{itemize} +$\mathcal{B}( \Lambda_c^{+} \to p \mu^{-} \mu^{+} ) < 4.4 \times 10^{-5}$, arXiv:1107.4465 +\newline +$\mathcal{B}( \Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+} ) < 9.4 \times 10^{-6}$ +\newline +$\mathcal{B}( \Lambda_c^{+} \to 3 \mu )$ No constraints! +\end{small} + + \textref {M.Chrz\k{a}szcz 2012} +\end{frame} + +\section{Strategy} +\begin{frame} + +\frametitle{Strategy} +{~} +Follow the strategy of $\tau$ analysis: +\begin{itemize} +\item Take prompt $\Lambda_c$, separate approach to SL. +\item Loose cut preselection. +\item Train MVA on MC prompt signal and recalibrate on data. +\item Mass resolution we expect similar to $\tau$. $15 MeV$ for $3 \mu$ and $9 Mev$ for $p \mu \mu$. Mean recalibrated from data on $\Lambda_c^{+} \to p K^{-} \pi^{+}$. +\item Normalize to $\Lambda_c^{+} \to p K^{-} \pi^{+}$. +\item Optimise the binning in MVA. +\item CLs method for limit. +\end{itemize} + +\end{frame} + +\section{Comparison $\Lambda_c$ vs $\tau$} +\begin{frame}\frametitle{Comparison $\Lambda_c$ vs $\tau$} +\colorbox{green}{Strong sides of $\Lambda_c$:} + + +\begin{itemize} +\item {No SM background in $3 \mu$ case ($\PDs \to \eta(\mu\mu\gamma) \mu \nu$)} +\item {Smaller combinatorial background than in $\tau$ decays. \Simley{1} } +%\item {Better prospers of observing something. Rare is better than forbidden \Simley{1} } +\end{itemize} + +\colorbox{red}{Weaker sides of $\Lambda_c$:} +\begin{itemize} +\item {Smaller no. of $\Lambda_c$ than $\tau$ to begin with.} +\item {Need to study very carefully $\Lambda_c$ production and backgrounds. } +\Simley{-1} + +\end{itemize} + + + + +\end{frame} + +\section{Work done so far} +\begin{frame}\frametitle{Work done so far} +\begin{itemize} +\item $\Lambda_c \to p \mu \mu$ is already stripped(line was with $\tau$ line all along). +\item $\Lambda_c \to 3\mu$ is being stripped in incremental stripping. +\item Requested 1M signal samples. Production will start next weak. +\item Background studies. (see backup slides). + +\end{itemize} + + + + +\end{frame} + +\begin{frame} +\begin{LARGE} +Backup Slides +\end{LARGE} + + + + + + +\end{frame} + + + +\subsection{} +\begin{frame}\frametitle{Work done so far} +\begin{itemize} +\item $\Lambda_c \to p \mu \mu$ is already stripped(line was with $\tau$ line all along). +\item $\Lambda_c \to 3\mu$ is being stripped in incremental stripping. +\item Requested 1M signal samples. Production will start next weak. +\item Background studies. (see backup slides). + +\end{itemize} + + + +\end{frame} + + + + + + + + + + + + +\end{document} diff --git a/HQL_2014/LFV/Lc2pll.toc b/HQL_2014/LFV/Lc2pll.toc new file mode 100644 index 0000000..92cd541 --- /dev/null +++ b/HQL_2014/LFV/Lc2pll.toc @@ -0,0 +1,6 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} +\beamer@sectionintoc {2}{Motivation}{3}{0}{1} +\beamer@sectionintoc {3}{Strategy}{4}{0}{2} +\beamer@sectionintoc {4}{Comparison $\Lambda _c$ vs $\tau $}{5}{0}{3} +\beamer@sectionintoc {5}{Work done so far}{6}{0}{4} diff --git a/HQL_2014/LFV/Lifetime-eff.pdf b/HQL_2014/LFV/Lifetime-eff.pdf new file mode 100644 index 0000000..ad0dc45 --- /dev/null +++ b/HQL_2014/LFV/Lifetime-eff.pdf Binary files differ diff --git a/HQL_2014/LFV/Lifetime-eff.svg b/HQL_2014/LFV/Lifetime-eff.svg new file mode 100644 index 0000000..6c1da0e --- /dev/null +++ b/HQL_2014/LFV/Lifetime-eff.svg @@ -0,0 +1,3181 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + 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For more information, see [this blog post](http://www.drbunsen.org/custom-beamer-theme.html). + +#### Dependencies: + ++ [XeTeX](http://en.wikipedia.org/wiki/XeTeX) ++ [The Fontin Font](http://www.exljbris.com/fontin.html) diff --git a/HQL_2014/LFV/SS/geo0p4_0p7.png b/HQL_2014/LFV/SS/geo0p4_0p7.png new file mode 100644 index 0000000..7e1ef69 --- /dev/null +++ b/HQL_2014/LFV/SS/geo0p4_0p7.png Binary files differ diff --git a/HQL_2014/LFV/SS/geo0p7_1p1.png b/HQL_2014/LFV/SS/geo0p7_1p1.png new file mode 100644 index 0000000..0b833b8 --- /dev/null +++ b/HQL_2014/LFV/SS/geo0p7_1p1.png Binary files differ diff --git a/HQL_2014/LFV/SS_banan_un.png b/HQL_2014/LFV/SS_banan_un.png new file mode 100644 index 0000000..d606523 --- /dev/null +++ b/HQL_2014/LFV/SS_banan_un.png Binary files differ diff --git a/HQL_2014/LFV/TODO b/HQL_2014/LFV/TODO new file mode 100644 index 0000000..12edfbb --- /dev/null +++ b/HQL_2014/LFV/TODO @@ -0,0 +1,5 @@ +reference to liang sun +backup on lifetime +lumi 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b/HQL_2014/LFV/babarlong.jpeg new file mode 100644 index 0000000..d806ae7 --- /dev/null +++ b/HQL_2014/LFV/babarlong.jpeg Binary files differ diff --git a/HQL_2014/LFV/bananas.png b/HQL_2014/LFV/bananas.png new file mode 100644 index 0000000..76fe1ae --- /dev/null +++ b/HQL_2014/LFV/bananas.png Binary files differ diff --git a/HQL_2014/LFV/beamerouterthemebunsen.sty b/HQL_2014/LFV/beamerouterthemebunsen.sty new file mode 100644 index 0000000..5ee921c --- /dev/null +++ b/HQL_2014/LFV/beamerouterthemebunsen.sty @@ -0,0 +1,33 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. + +\mode + +% color definitions +\definecolor{uipaleblue}{RGB}{96,123,139} + +% footer styling +\setbeamercolor{section in footer}{fg=white,bg=uipaleblue} +\setbeamercolor{subsection in footer}{fg=white,bg=uipaleblue} +\setbeamercolor{pagenumber in footer}{fg=white,bg=uipaleblue} + +\defbeamertemplate*{footline}{bunsentheme} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=.33\paperwidth,ht=2.25ex,dp=1ex,center]{section in footer}% + \inserttitle + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.34\paperwidth,ht=2.25ex,dp=1ex,center]{subsection in footer}% + \insertsectionhead + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.34\paperwidth,ht=2.25ex,dp=1ex,center]{pagenumber in footer}% + \insertframenumber{} / \inserttotalframenumber\hspace*{2ex} + \end{beamercolorbox}}% + \vskip0pt% +} + +\setbeamersize{text margin left=1em,text margin right=1em} + +\mode + diff --git a/HQL_2014/LFV/beamerthemeSybila.sty b/HQL_2014/LFV/beamerthemeSybila.sty new file mode 100644 index 0000000..eddf87b --- /dev/null +++ b/HQL_2014/LFV/beamerthemeSybila.sty @@ -0,0 +1,123 @@ +\mode + +%------------------------------------------------------------------------------- +% Themes +%------------------------------------------------------------------------------- + +\useoutertheme{split} +\useinnertheme{rounded} +\usefonttheme{structurebold} +\useoutertheme{shadow} + +%------------------------------------------------------------------------------- +% Templates +%------------------------------------------------------------------------------- + +\beamertemplatenavigationsymbolsempty +\beamertemplateheadempty +\beamertemplateshadowblocks + +%------------------------------------------------------------------------------- +% Own templates +%------------------------------------------------------------------------------- + +% Normal title page. +\defbeamertemplate*{title page}{simple}[1][] +{ + \vfill + \begin{centering} + \begin{beamercolorbox}[center, rounded=true]{title} + \usebeamerfont{title}\inserttitle\par% + \ifx\insertsubtitle\@empty% + \else% + \vskip0.25em% + {\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}% + \fi% + \end{beamercolorbox}% + + \vskip1em + + \begin{beamercolorbox}[sep=8pt,center,#1]{author} + \usebeamerfont{author}\insertauthor + \end{beamercolorbox} + + \vskip1em + + {\usebeamercolor[fg]{titlegraphic}\inserttitlegraphic\par} + \begin{beamercolorbox}[sep=8pt,center,#1]{institute} + \usebeamerfont{date}\insertinstitute + \end{beamercolorbox} + + \vskip1em + + \begin{beamercolorbox}[sep=8pt,center,#1]{date} + \usebeamerfont{date}\insertdate + \end{beamercolorbox} + \end{centering} + \vfill +} +\defbeamertemplate*{footline}{shadow theme} +{% + \leavevmode% + \hbox{\begin{beamercolorbox}[wd=.5\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm plus1fil,rightskip=0.3cm,center]{author in head/foot}% + \usebeamerfont{author in head/foot}\insertshortauthor \insertinstitute\par + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}% + \usebeamerfont{title in head/foot}\insertshorttitle \hfill \insertframenumber\,/\,\inserttotalframenumber\hfill% + \end{beamercolorbox}}% + \vskip0pt% +} +%------------------------------------------------------------------------------- +% Logo +%------------------------------------------------------------------------------- + +%\logo{\hspace*{0.6\textwidth}\includegraphics[width=1.8cm]{images/uzh.jpg}\hspace*{0.3cm}} +\logo{% + \includegraphics[width=1.8cm,keepaspectratio]{images/uzh.jpg}\hspace*{0.3cm}% + \includegraphics[height=0.6cm,keepaspectratio]{images/ifj.png}% +} + + +%------------------------------------------------------------------------------- +% Colors +%------------------------------------------------------------------------------- + +\setbeamercovered{dynamic} + +\setbeamercolor{math text}{fg=white!0!black} +\setbeamercolor{title}{bg=white!30!black} +\setbeamercolor{frametitle}{bg=white!45!black} +\setbeamercolor{footline}{bg=black,fg=white} +\setbeamercolor{author in head/foot}{bg=black,fg=white} +\setbeamercolor{title in head/foot}{bg=white!45!black} +\setbeamercolor{block title}{bg=white!45!black} +\setbeamercolor{block title example}{bg=white!45!black} +\setbeamercolor{block title alerted}{bg=white!15!black} + +\colorlet{redshaded}{red!25!bg} +\colorlet{shaded}{black!25!bg} +\colorlet{shadedshaded}{black!10!bg} +\colorlet{blackshaded}{black!40!bg} + +\usecolortheme{whale} +\usecolortheme{orchid} + +%------------------------------------------------------------------------------- +% Fonts +%------------------------------------------------------------------------------- + +\setbeamerfont{block title}{size={}} +\setbeamerfont{date}{size=\small} + +%------------------------------------------------------------------------------- +% Other +%------------------------------------------------------------------------------- + +\titlegraphic{ +\includegraphics[width=3.0cm]{images/uzh.jpg}\hspace*{0.3cm} +\includegraphics[height=0.9cm,keepaspectratio]{images/ifj.png}% + +} + +\mode + diff --git a/HQL_2014/LFV/beamerthemebunsen.sty b/HQL_2014/LFV/beamerthemebunsen.sty new file mode 100644 index 0000000..64fcfbb --- /dev/null +++ b/HQL_2014/LFV/beamerthemebunsen.sty @@ -0,0 +1,44 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. + +\mode + +\newif\ifbeamer@secheader +\beamer@secheaderfalse + +\DeclareOptionBeamer{secheader}{\beamer@secheadertrue} +\ProcessOptionsBeamer + +\useoutertheme{bunsen} + +% color definitions +\definecolor{uipaleblue}{RGB}{96,123,139} +\definecolor{uipoppy}{RGB}{225,64,0} + +% set the title color +\setbeamercolor{title}{fg=uipaleblue} + +% set colors for specific elements +\setbeamercolor{block}{fg=uipoppy} +\setbeamercolor{block title}{fg=uipoppy} % adjust title color to poppy +\setbeamercolor{block item}{fg=uipoppy} +\setbeamercolor{itemize item}{fg=uipoppy} % adjusts the bullet color + +% frame title styling +\setbeamertemplate{frametitle}{\vspace{0.4cm} \color{white} \insertframetitle} + +\usesubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\blacktriangleright$}% +} +\usesubsubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\bigstar$}% +} + + +\setbeamersize{text margin left=1em,text margin right=1em} +\setbeamersize{frametitle=\huge} + +\ifbeamer@secheader\else\setbeamertemplate{headline}[default]\fi + +\mode + diff --git a/HQL_2014/LFV/belle2-logo.png b/HQL_2014/LFV/belle2-logo.png new file mode 100644 index 0000000..9434105 --- /dev/null +++ b/HQL_2014/LFV/belle2-logo.png Binary files differ diff --git a/HQL_2014/LFV/bkg.svg b/HQL_2014/LFV/bkg.svg new file mode 100644 index 0000000..3df7f37 --- /dev/null +++ b/HQL_2014/LFV/bkg.svg @@ -0,0 +1,283 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + D + s + τ + ν + τ + + D + s + µ + µ + µ + µ + µ + µ + + γ + + η + ν + μ + + diff --git a/HQL_2014/LFV/blind.png b/HQL_2014/LFV/blind.png new file mode 100644 index 0000000..851aab2 --- /dev/null +++ b/HQL_2014/LFV/blind.png Binary files differ diff --git a/HQL_2014/LFV/blois_v1.aux b/HQL_2014/LFV/blois_v1.aux new file mode 100644 index 0000000..333305a --- /dev/null +++ b/HQL_2014/LFV/blois_v1.aux @@ -0,0 +1,110 @@ +\relax +\ifx\hyper@anchor\@undefined +\global \let \oldcontentsline\contentsline +\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global \let \oldnewlabel\newlabel +\gdef \newlabel#1#2{\newlabelxx{#1}#2} +\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\let \contentsline\oldcontentsline +\let \newlabel\oldnewlabel} +\else +\global \let \hyper@last\relax +\fi + +\catcode`"\active +\@writefile{toc}{\beamer@endinputifotherversion {3.10pt}} +\@writefile{nav}{\beamer@endinputifotherversion {3.10pt}} +\select@language{polish} +\@writefile{toc}{\select@language{polish}} +\@writefile{lof}{\select@language{polish}} +\@writefile{lot}{\select@language{polish}} +\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}} +\@writefile{nav}{\headcommand {\sectionentry {1}{Outline}{2}{Outline}{0}}} +\@writefile{nav}{\headcommand 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a/HQL_2014/LFV/ckm2012_3.synctex.gz b/HQL_2014/LFV/ckm2012_3.synctex.gz new file mode 100644 index 0000000..6e528e5 --- /dev/null +++ b/HQL_2014/LFV/ckm2012_3.synctex.gz Binary files differ diff --git a/HQL_2014/LFV/ckm2012_3.tex b/HQL_2014/LFV/ckm2012_3.tex new file mode 100644 index 0000000..fa2d8a1 --- /dev/null +++ b/HQL_2014/LFV/ckm2012_3.tex @@ -0,0 +1,900 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. +% +% Seth Brown, Ph.D. +% sethbrown@drbunsen.org +% +% Compiled with XeLaTeX +% Dependencies: +% Fontin Sans font (http://www.exljbris.com/fontinsans.html) +% +\documentclass{beamer} +\usepackage{pgf} +\usepackage{times} +\usepackage[T1]{fontenc} +%\usepackage[mathscr]{eucal} +%\usepackage{mathptmx} +%\usepackage{mathrsfs} +\usepackage{hyperref} +% \usepackage{pgfpagfes} +% \setbeameroption{show notes on second screen} +%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape] +\usepackage{xcolor} +%\usepackage[dvipsnames]{xcolor} +%\usepackage{amsfonts} +%\usepackage{amsmath} +% \usepackage[amssymb]{SIunits} +%\usepackage{natbib} +%\usepackage{amssymb} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{tikz} +\usepackage[polish]{babel} +%%\usepackage{lmodern} +%\usepackage{feynmp} +% suppress navigation bar +\beamertemplatenavigationsymbolsempty +\usepackage[mathscr]{eucal} +\usepackage{mathrsfs} +\mode +{ + \usetheme{bunsen} + \setbeamercovered{transparent} + \setbeamertemplate{items}[circle] +} + +% set fonts +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{verbatim} + +\usetikzlibrary{arrows} +\usetikzlibrary{shapes} + +%\usepackage{gfsartemisia-euler} +%\usepackage[T1]{fontenc} +\setbeamerfont{frametitle}{size=\LARGE,series=\bfseries} +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} +\newcommand{\at}{\makeatletter @\makeatother} + +% color definitions +\usepackage{color} +\definecolor{uipoppy}{RGB}{225, 64, 5} +\definecolor{uipaleblue}{RGB}{96,123,139} +\definecolor{uiblack}{RGB}{0, 0, 0} + +% caption styling +%\DeclareCaptionFont{uiblack}{\color{uiblack}} +%\DeclareCaptionFont{uipoppy}{\color{uipoppy}} +%\captionsetup{labelfont={uipoppy},textfont=uiblack} + +% see the macros.tex file for definitions +\include{macros} + +% title slide definition +\title{Searches for New Physics with LHCb} +\author{Marcin Chrz\k{a}szcz} +\institute[Institute of Nuclear Physics] +{ +University of Zurich, +\newline Institute of Nuclear Physics Krakow, +\newline on behalf of LHCb collaboration +\\{~}\\ +} + + +\date{$29^{th}$ May 2014} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\begin{document} + + + +\setbeamertemplate{background} +{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}} +\setbeamertemplate{footline}[default] + +\begin{frame} +\vspace{1.1cm} +\begin{columns} +\column{2.75in} + \titlepage + + \begin{center} + \includegraphics[height=1cm,keepaspectratio ]{uzh.jpg} + \hspace{0.5cm} + \includegraphics[height=1cm]{pic/LHCb_logo.jpg} + \hspace{0.5cm} + \includegraphics[height=1cm]{pic/ifj.png} + \end{center} + \vspace{10cm} +\column{2.0in} +\end{columns} +\end{frame} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + + + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + + + + + + + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{LHCb detector} + +\begin{frame}\frametitle{LHCb detector} +\begin{columns} +\column{3.in} +\begin{center} +\includegraphics[width=0.98\textwidth]{det.jpg} +\end{center} + +\column{2.1in} +\begin{footnotesize} + +\begin{block}{} + \circled{1} LHCb is a forward spectrometer: + \begin{itemize} + \item Excellent vertex resolution. + \item Efficient trigger. + \item High acceptance for $\Ptau$ and $\PB$. + \item Great Particle ID. + \end{itemize} + + + \end{block} + +\end{footnotesize} +\end{columns} + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +\section{Lepton Flavour Violation} +\begin{frame}\frametitle{Lepton Flavour/Number Violation} +\begin{small} + Lepton Flavour Violation(LFV): +\end{small} + + +\begin{footnotesize} + +After $\Pmuon$ was discovered it was logical to think of it as an excited $\Pelectron$. +\begin{columns} +\column{3in} +\begin{itemize} +\item Expected: $B(\mu\to\Pe\gamma) \approx 10^{-4}$ +\item Unless another $\Pnu$, in intermediate vector boson loop cancels. +\end{itemize} +\column{2in} +{~}\includegraphics[width=0.98\textwidth]{rabi.png} + +\end{columns} +\begin{columns} +\column{1in} +{~} +\column{3in} +\begin{block}{I.I.Rabi:} +"Who ordered that?" +\end{block} +\column{2in} +{~}\includegraphics[scale=0.08]{II_Rabi.jpg} + +\end{columns} + + +\begin{itemize} +\item Up to this day charged LFV is being searched for in various decay modes. +\item LFV was already found in neutrino sector. +\end{itemize} +\end{footnotesize} + + +\begin{footnotesize} + +\begin{columns} +\column{3.5in} +\begin{small} + Lepton Number Violation (LNV) +\end{small} + +\begin{itemize} +\item Even with LFV, lepton number is a conserved quantity. +\item Many new thesis predict it violation(Majorana neutrinos) +\item Searched in so called Neutrinoless double $\beta$ decays. +\end{itemize} + +\column{1.5in} +\includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png} + +\end{columns} + +\end{footnotesize} +%Double_beta_decay_feynman.png + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +% \section{Lepton Number Violation} +\section{$\PB$ decays} +\subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} + +\only<1>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{Special for $\PB$ decays} +%\begin{itemize} +Diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ + Analogous to double $\beta$ decay. +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{Virtual Majorana neutrinos} + + +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{pic/MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\\ Based on $0.41fb^{-1}${~}$7TeV$ data. + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + + {\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +\begin{itemize} +\item Based on full data set${~}3fb^{1}$. +\item Cut based analysis. +\item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$. +\item Searched performed for two scenarios: +\begin{itemize} +\item Short life-time neutrinos: $\tau_4 <1ps$ +\item Long life-time neutrinos: $\tau_4 \in (1,1000) ps$ +\end{itemize} +\end{itemize} +\begin{columns} + +\only<1>{ +\includegraphics[width=\textwidth]{Figure2.png} +} + +\end{columns} + + +\begin{columns} +\begin{column}{8.5cm} + +\includegraphics[width=\textwidth]{Figure3.png} + +\end{column} +\begin{column}{.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} + +\begin{column}{4cm} +\hspace{.4cm} + + + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}} + +\end{column} +\end{columns} + + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +{~}\\ +\begin{columns} +\column{2.in} +\includegraphics[width=\textwidth]{Figure5.png}\\ +\includegraphics[width=\textwidth]{Figure6.png}\\ + + +\column{3.0in} +\begin{small} +\begin{itemize} +\item In absence of signal UL. were set. +\item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$. +\item Limits also set for the coupling $| V_{\mu 4} |^2$ +\end{itemize} +{~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar } \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$ +\end{small} +\end{columns} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary on LNV in $\PB$ decays} +\vspace{0.5cm} +\begin{columns} +\begin{column}{.65\textwidth} +\begin{footnotesize} +\begin{tabular}{lclr} +channel & limit & & \\\hline + $\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $ & $<2.3\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\ + $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\ + $\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $ & $<2.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\ + $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\ +$\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\ + $\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $ & $<5.4\times 10^{-7}$ & @$95\,\%$ CL &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\ + %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ +\hline +\end{tabular} %pic/LHCb_logo.jpg +\end{footnotesize} +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{$\PB\to \Plepton^{+}\Plepton^{-}$} +\begin{frame}%[t] +\frametitle{$\PB\to \Plepton^{+}\Plepton^{-}$ 1}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\begin{footnotesize} +\begin{columns} + +\column{3in} + +\begin{itemize} +\item A separate physics interest are LFV $\PB$ decays. +\item Predicted by various NP models: lepto-quarks, SUSY, GUT. +\item Analysis based on $1fb^{-1}$ 2011 data. +\item Analogues to our $\PBs \to \mu \mu$ analysis(Phys. Rev. Lett. 110, 021801 (2013)) +\end{itemize} + + + +\column{2in} +\includegraphics[width=\textwidth]{blind.png}\\ +\end{columns} + +\begin{enumerate} +\item Loose reselection based on topology and PID. +\item Classifier trained on MC signal and $b\bar{b} \to \Plepton \Plepton X$ +\item Calibration channel: $\PBzero_{(s)} \to h^+ h^{'-}$ +\item Normalization Channel: $\PBzero \to \PKplus \Ppiminus$ +\item CLs method for limit extraction. +\end{enumerate} +\end{footnotesize} + + + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.141801}{\texttt{Phys. Rev. Lett. 111, 141801 (2013) }}}} + +\end{column} +\end{columns} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +\begin{frame}%[t] +\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ 2} +\begin{footnotesize} +\begin{columns} + +\column{3.1in} + +\begin{itemize} +\item Correction to MC and DATA discrepancies. +\item Excellent proxy: $\PBzero_{(s)} \to h h'$. +\item Fit each BDT bin for $\PBzero_{(s)} \to h h'$ and extract number of events. +\item Correct MC efficiency for each bin. +\item Electron Bremsstrahlung corrected on $\PJpsi \to \Pe \Pe$. +\end{itemize} + +\column{1.9in} +\includegraphics[width=\textwidth]{Fig4a-supp.pdf}\\ +\end{columns} +\begin{columns} + +\column{2.3in} +%\includegraphics[width=\textwidth]{ClsB.png}\\ +\includegraphics[width=\textwidth]{CLS2.png}\\ +\column{3.1in} +%\includegraphics[width=\textwidth]{Fig1a-supp.pdf}\\ +\begin{tabular}{ c | c | c } + {~} & $Br(\PB \to \Pe \Pmu)$ & $Br(\PB_s \to \Pe \Pmu)$ \\ + {~} & \at~$ 90(95)\% CL$ & at~$90(95)\% CL$ \\ \hline +\textcolor{blue}{Expected} & \textcolor{blue}{$4.0(5.0)\times 10^{-9}$}& \textcolor{blue}{$1.5(2.0)\times 10^{-8}$} \\ +\textcolor{red}{Observed} & \textcolor{red}{$2.8(3.7)\times 10^{-9}$}& \textcolor{red}{$1.1(1.4)\times 10^{-8}$} \\ + +\end{tabular} + + +\end{columns} + + +\end{footnotesize} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%% +\begin{frame}%[t] +\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ Implications} +\begin{footnotesize} +\begin{itemize} +\item LHCb limits exceeds previous CDF by $20$ times. +\item CDF implications to lepto-quarks mass\footnote{Theoretical formula Phys. Rev. D 50 (1994) 6843}. +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >47.8(44.9) TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >59.3(56.3) TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} +\end{itemize} + +\begin{center} +\begin{columns} +\column{0.4in} +{~} +\column{1.85in} +\includegraphics[width=\textwidth]{Fig2a-supp.pdf}\\ +\column{0.2in} +{~} +\column{1.85in} +\includegraphics[width=\textwidth]{Fig2b-supp.pdf}\\ +\column{0.4in} +{~} +\end{columns} + +\end{center} +LHCb limits: +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >107(101) TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >135(126) TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} + +\end{footnotesize} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + + + + + +%\section{Lepton Flavour Violation} +\section{$\tau$ decays} + + +\subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$} +\begin{frame}\frametitle{Curent status} + + + + +\frametitle{$\Ptau \to \mu \mu \mu$} + +\only<1>{ + + + +\begin{center} +\begin{columns} +\column{3in} +\begin{block}{} + \circled{1} In SM small $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $ \\ + \circled{2} NP can enhance $\mathcal{B}$. \\ + \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\ + \circled{4} Current limits: +\end{block} +\column{2in} +\includegraphics[width=\textwidth]{tau23mu.png}\\ + + +\end{columns} + + + \begin{center} + \begin{tabular}{| l | l |} + \hline Experiment & $90\%$ CL limit \\ + \hline + \hline BaBar & $3.3 \times 10^{-8}$ \\ + \hline Belle & $2.1 \times 10^{-8}$ \\ + \hline +\end{tabular} +\end{center} +\begin{block}{} + \circled{5} Can a hadron collider change the picture? \\ +\end{block} + + + + + + +\end{center} +} +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}\frametitle{Analysis approach} +\begin{columns} +\column{2.5in} +$\mathcal{B}$ factories + + +\column{2.5in} +LHCb, ($7 TeV$, 2011 data) + + + +\end{columns} +\begin{columns} +\column{2.5in} + + +\begin{block}{} + \circled{1} Clean signal: $\APelectron\Pelectron\to\APtauon\Ptauon$ \\ + \circled{2} Calculate the thrust axis \\ + \circled{3} "Partial tag" the other $\tau$ \\ + \circled{4} Small cross section $0.919nb$ \\ +\end{block} +\column{2.5in} + +\begin{block}{} + \circled{1} Inclusive $\tau$ cross section: \newline $79.5\pm\unit{8.3}{\micro\barn}$. \\ + \circled{2} $8 \times 10^{10} \tau$ produced. \\ + \circled{3} Dominant contribution: \newline $\PDs\to\Ptau\Pnut$ ($78\%$) \\ + \circled{4} No tag possible. \\ +\end{block} + + + +\end{columns} + + +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalization with $\PDs \to \phi(\mu \mu) \pi$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} + +\begin{block}{Signal \& Calibration \& Background channel} +\includegraphics[width=.7\textwidth]{topos} +\newline +\includegraphics[width=.7\textwidth]{topob2.png} +\end{block} +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns}\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH response +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=\textwidth]{Fig4b.png} +\end{column} + +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=\textwidth]{Fig4a.png} +\end{column} + +\end{columns} + + + + + +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% \underbrace{•} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass side-bands + +\end{itemize} +\end{block} +Signal efficiency in 3-BODY BDT vs PID BDT plane. +\end{column} +\begin{column}{.2\textwidth} + + + +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{FIG6.png}} +\end{column} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{Fig2a.png}} +\end{column} + +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} + +\end{frame} + + + + +\begin{frame} +\frametitle{Extracted upper limit} +\begin{columns}\begin{column}{.8\textwidth} + +\vspace{1.0cm} + +\begin{tabular}{|l|l|l|l|} +\hline + & \text{observed} & \text{expected} & \text{CL} \\ +\hline +$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ & $8.0\times 10 ^{-8}$ & $8.3\times 10^{-8}$ & $90\%$\\ + & $ 9.8\times 10 ^{-8}$ & $10.2\times 10^{-8}$ & $95\%$ \\ +\hline +\end{tabular} + + + +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + + {\footnotesize{\href{http://www.sciencedirect.com/science/article/pii/S0370269313004450}{\texttt{PLB 724 (2013) 36-45 }}}} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=0.8\textwidth]{Fig3a.png} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + + +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item LFV and LNV processes are doing very well in LHCb. +\item Lots of best limits already in our hands. +\item Keep tune, lots of new results are coming very soon. +\end{itemize} + + +\textref{M.Chrz\k{a}szcz 2014} + +\end{frame} + 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mode 100644 index 0000000..f13ccd5 --- /dev/null +++ b/HQL_2014/LFV/hql2.synctex.gz Binary files differ diff --git a/HQL_2014/LFV/hql2.tex b/HQL_2014/LFV/hql2.tex new file mode 100644 index 0000000..9c43dde --- /dev/null +++ b/HQL_2014/LFV/hql2.tex @@ -0,0 +1,927 @@ +\documentclass[xcolor=svgnames]{beamer} +\usepackage[utf8]{inputenc} +\usepackage[english]{babel} +\usepackage{polski} +%\usepackage{amssymb,amsmath} +%\usepackage[latin1]{inputenc} +%\usepackage{amsmath} +%\newcommand\abs[1]{\left|#1\right|} +\usepackage{amsmath} +\newcommand\abs[1]{\left|#1\right|} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{color} +\usepackage{feynmp} +\usepackage{pst-pdf} +\usepackage{hyperref} +\usepackage{xcolor} + +\setbeamertemplate{footline}{\insertframenumber/\inserttotalframenumber} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25} + + + +%\DeclareCaptionFont{uiblack}{\color{uiblack}} +%\DeclareCaptionFont{uipoppy}{\color{uipoppy}} +%\captionsetup{labelfont={uipoppy},textfont=uiblack} + +% see the macros.tex file for definitions + + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} +\newcommand{\at}{\makeatletter @\makeatother} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\usetheme{Sybila} + +\title[LFV \& LNV at LHCb]{Lepton flavour and number violation measurements at LHCb} +\author{Marcin Chrz\k{a}szcz$^{1,2}$ \\ \footnotesize{on behalf of the LHCb collaboration}} +\institute{$^1$~University of Zurich,\\ $^2$~Institute of Nuclear Physics, Krakow \\{~}\\ Heavy Quarks and Leptons 2014 } +\date{\today} +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +\author{Marcin Chrz\k{a}szcz} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- + +\institute{~(UZH, IFJ)} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + + + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + + + + + + + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +%\setbeamertemplate{background} +% {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +%\setbeamertemplate{footline}[bunsentheme] + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%\setbeamertemplate{background} +% {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +%\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{LHCb detector} + +\begin{frame}\frametitle{LHCb detector} +\begin{columns} +\column{3.in} +\begin{center} +\includegraphics[width=0.98\textwidth]{det.jpg} +\end{center} + +\column{2.0in} +\begin{footnotesize} + + + LHCb is a forward spectrometer: + \begin{itemize} + \item Excellent vertex resolution. + \item Efficient trigger. + \item High acceptance for $\Ptau$ and $\PB$. + \item Great Particle ID + \end{itemize} + + + +\end{footnotesize} +\end{columns} + +\end{frame} + +\section{Lepton Flavour Violation} +\begin{frame}\frametitle{Lepton Flavour/Number Violation} +\begin{small} + Lepton Flavour Violation(LFV): +\end{small} + + +\begin{footnotesize} + +After $\Pmuon$ was discovered it was natural to think of it as an excited $\Pelectron$. +\begin{columns} +\column{3in} +\begin{itemize} +\item Expected: $B(\mu\to\Pe\gamma) \approx 10^{-4}$ +\item Unless another $\Pnu$, in intermediate vector boson loop, cancels. +\end{itemize} + +\column{2in} +{~}\includegraphics[width=0.98\textwidth]{rabi.png} + +\end{columns} +\begin{columns} +\column{0.5in} +{~} +\column{3in} +\begin{block}{I.I.Rabi:} +"Who ordered that?" +\end{block} +\column{0.3in}{~} +\column{2in} +{~}\includegraphics[scale=0.08]{II_Rabi.jpg} + +\end{columns} + + +\begin{itemize} +\item Up to this day charged LFV is being searched for in various decay modes. +\item LFV was already found in neutrino sector (oscillations). +\end{itemize} +\end{footnotesize} + + +\begin{footnotesize} + +\begin{columns} +\column{3.5in} +\begin{small} + Lepton Number Violation (LNV) +\end{small} + +\begin{itemize} +\item Even with LFV, lepton number can be a conserved quantity. +\item Many NP models predict it violation(Majorana neutrinos) +\item Searched in so called Neutrinoless double $\beta$ decays. +\end{itemize} + +\column{1.5in} +\includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png} + +\end{columns} + +\end{footnotesize} +%Double_beta_decay_feynman.png + + % \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +% \section{Lepton Number Violation} +\section{ $\PB$ decays} +\subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} + +\only<1>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\item $m_{\mu} + m_{\pi} < m_4 < m_{\PB} - m_{\mu}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{~} +%\begin{itemize} +Diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ + Analogous to double $\beta$ decay. +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + % \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{Virtual Majorana neutrinos} + + +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{pic/MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + +\begin{columns} +\column{2.5in} +$\quad\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7}$ +\column{2.5in} + +$\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ + +\end{columns} +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\\ Based on $0.41~\invfb ${~}$7~\TeV$ data. + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + + {\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} + % \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +\begin{itemize} +\item $\PBminus \to \Ppiplus \Pmuon \Pmuon$ searched with full data set${~}3~\invfb $. +\item Cut based analysis. +\item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$. +\item Searches performed for two scenarios: +\begin{itemize} +\item Short life-time neutrinos: $\tau_4 <1ps$ +\item Long life-time neutrinos: $\tau_4 \in (1,1000) ps$ +\end{itemize} +\end{itemize} +\begin{columns} + +\only<1>{ +\includegraphics[width=\textwidth]{Figure2.png} +} + +\end{columns} + + +\begin{columns} +\begin{column}{8.5cm} + +\includegraphics[width=\textwidth]{Figure3.png} + +\end{column} +\begin{column}{.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} + +\begin{column}{4cm} +\hspace{.4cm} + + + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}} + +\end{column} +\end{columns} + + +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +{~}\\ +\begin{columns} +\column{2.5in} +\includegraphics[width=\textwidth]{Figure5.png}\\ +\includegraphics[width=\textwidth]{Figure6.png}\\ + + +\column{2.5in} +\begin{small} +\begin{itemize} +\item In absence of signal UL. were set. +\item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$. +\item Limits also set for the coupling $| V_{\mu 4} |^2$ +\end{itemize} +{~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar } \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$ +\end{small} +\end{columns} +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary on LNV in $\color{white} \textbf{B}$ decays} +\vspace{0.5cm} +\begin{columns} +\begin{column}{.65\textwidth} +\begin{footnotesize} +\begin{tabular}{lclr} +channel & limit & & \\\hline + $\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $ & $<2.3\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\ + $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\ + $\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $ & $<2.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\ + $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\ +%$\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\ + + $\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $ & $<5.4\times 10^{-7}$ & @$95\,\%$ CL &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\ + %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb,Phys. Rev. Lett. (112) 131802 (2014)\label{xxxxx}} \\ + $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ +\hline +\end{tabular} %pic/LHCb_logo.jpg +\end{footnotesize} +\end{column} +\end{columns} +%\textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{$\PB_{(s)}\to \Plepton^{+}_1\Plepton_2^{-}$} +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$} +\begin{footnotesize} +\begin{columns} + +\column{3in} + +\begin{itemize} +\item A separate physics interest is LFV $\PB$ decays. +\item Predicted by various NP models: lepto-quarks, SUSY, GUT. +\item Analysis based on $1~\invfb $ 2011 data. +\item Analogous to our $\PBs \to \mu \mu$ analysis~(PRL 111 (2013) 101804) +\end{itemize} + + + +\column{2in} +{~}\\{~}\\ + +\includegraphics[width=0.95\textwidth]{blind.png}\\ +\end{columns} + +\begin{enumerate} +\item Loose preselection based on topology and PID. +\item Classifier trained on MC signal and $b\bar{b} \to \Plepton \Plepton X$ +\item Calibration channel: $\PBzero_{(s)} \to h^+ h^{'-}$ +\item Normalization Channel: $\PBzero \to \PKplus \Ppiminus$ +\item \href{http://cds.cern.ch/record/451614/files/p81.ps.gz}{CLs}\footnote{A.L.Read, The CLs technique, \\ Journal of Physics G (2012) +} + method for limit extraction. +\end{enumerate} +\end{footnotesize} + + + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.141801}{\texttt{Phys. Rev. Lett. 111, 141801 (2013) }}}} + +\end{column} +\end{columns} +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$ mass calibration} +{~} +LHCb philosophy: data driven approach when/where possible. +\begin{itemize} +\item Electrons undergo Breamsstrahlung~$\rightarrow$ recover the lost energy. +\item Re-weight MC to match event multiplicity. +\item Parametrize signal shape by Crystal Ball. +\item Validate the approach on $\PJpsi \to \Pelectron \APelectron$. +\item Observe agreement between data and MC $\PJpsi$ line shape. +\end{itemize} + + +\includegraphics[width=0.84\textwidth]{Jpsi_mass.png} + + + + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$ BDT calibration} +{~} +\begin{itemize} +\item Hadronic two body $\PB$ decays are an excellent proxy! +\item Same topology and kinematics. +\item Select and inclusive sample of $\PB_{(s)} \to h^+ h'^-$ +\item Apply BDT to selected hadronic sample and correct MC signal efficiency: +\end{itemize} +\begin{equation} +\epsilon_{DATA}^{sig} = \dfrac{\epsilon_{DATA}^{norm}}{\epsilon_{MC}^{norm}} \times \epsilon_{MC}^{sig} +\end{equation} +\begin{columns} +\column{3in} +\includegraphics[width=0.8\textwidth]{Fig4a-supp.pdf}\\ +\column{2in} +\begin{enumerate} +\item {\color{red} $\color{red} B_{(s)} \to h^+ h'^-$ BDT shape in data.} +\item {\color{mygreen} $\color{mygreen} B_{(s)} \to e \mu$ BDT shape after corrections.} +\end{enumerate} +\end{columns} + + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$ background} +\begin{columns} +\column{3in} +\begin{itemize} +\item Number of expected background candidates extrapolated from side bands: $\left[4,9,5.0\right]\bigcup \left[5.5,5.9\right]~GeV$ +\item Peaking backgrounds: +\begin{itemize} +\item $B_{(s)} \to h^+ h^-$, model using miss ID rates. Expect $4$ events in the full BDT range. +\end{itemize} +\end{itemize} +\column{2in} +\includegraphics[width=\textwidth]{sig_bkg_pdf.png}\\ +\end{columns} + +\begin{columns} +\column{2.5in} +\begin{itemize} +\item Semileptonic backgrounds: +\begin{itemize} +\item $\PLambdab \to \Pproton \mu \nu$ +\item $\PB \to \Ppi \mu \nu$ +\item $\PBc \to \PJpsi(\mu\mu) \Pe \nu$ +\item $\PBc \to \PJpsi(ee) \Pmu \nu$ +\end{itemize} +\item Can be modelled in a fit +\end{itemize} + + +\column{2.5in} +\includegraphics[width=\textwidth]{BKG.png} + +\end{columns} + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$} +\begin{center} +\includegraphics[width=0.95\textwidth]{bananas.png}\\ + + +\begin{tabular}{ c | c | c } + \multicolumn{3}{c}{Upper limits} \\ \hline + + {~} & $Br(\PB \to \Pe \Pmu)$ & $Br(\PB_s \to \Pe \Pmu)$ \\ + {~} & \at~$ 90(95)\% CL$ & at~$90(95)\% CL$ \\ \hline +\textcolor{blue}{Expected} & \textcolor{blue}{$3.8(4.8)\times 10^{-9}$}& \textcolor{blue}{$1.5(2.0)\times 10^{-8}$} \\ +\textcolor{red}{Observed} & \textcolor{red}{$1.5(1.8)\times 10^{-9}$}& \textcolor{red}{$1.1(1.4)\times 10^{-8}$} \\ + +\end{tabular} + +\end{center} + + + +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + + +%%%%%%%%%% +\begin{frame}%[t] +\frametitle{$\color{white} B_{(s)} \to e^- \mu^{+}$ Implications} +\begin{footnotesize} +\begin{itemize} +\item LHCb limits two times better than previous ones from CDF\footnote{Phys. Rev. Lett. 102 (2009) 201801}. +\item CDF implications to lepto-quarks mass\footnote{Theoretical formula Phys. Rev. D 50 (1994) 6843}. +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >47.8(44.9)~\TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >59.3(56.3)~\TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} +\end{itemize} + +\begin{center} +\begin{columns} +\column{0.4in} +{~} +\column{1.85in} +\includegraphics[width=0.99\textwidth]{Fig2a-supp.pdf}\\ +\column{0.2in} +{~} +\column{1.85in} +\includegraphics[width=0.99\textwidth]{Fig2b-supp.pdf}\\ +\column{0.4in} +{~} +\end{columns} + +\end{center} +LHCb limits: +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >107(101)~\TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >135(126) ~\TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} + +\end{footnotesize} +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + + + + + +%\section{Lepton Flavour Violation} +\section{ $\Ptau$ decays} + + +\subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$} +\begin{frame}\frametitle{Curent status} + + + + +\frametitle{$\color{white}\tau \to \mu \mu \mu$} + +\only<1>{ + +\begin{center} +\begin{columns} +\column{3in} +\begin{enumerate} + \item In SM small $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-40} $ \\ + \item NP can enhance $\mathcal{B}$. \\ + \item Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\ + \item Current limits: +\end{enumerate} +\column{2in} +\includegraphics[width=\textwidth]{tau23mu.png}\\ + + +\end{columns} + + + \begin{center} + \begin{tabular}{| l | l |} + \hline Experiment & $90\%$ CL limit \\ + \hline + \hline BaBar{~}\footnote{Phys.Rev.D81:111101(R),2010} & $3.3 \times 10^{-8}$ \\ + \hline Belle{~}\footnote{Phys.Lett.B687:139-143,2010} & $2.1 \times 10^{-8}$\\ + \hline +\end{tabular} +\end{center} +\begin{itemize} +\item Can a hadron collider change the picture? \\ +\end{itemize} + + + + + + +\end{center} +} +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}\frametitle{Analysis approach} +\begin{columns} +\column{0.2in} +{~}\\ +\column{2.5in} +$\mathcal{B}$ factories + + +\column{2.5in} +LHCb, ($7~\TeV$, 2011 data) + + + +\end{columns} +\begin{columns} +\column{0.2in} +{~}\\ +\column{2.5in} + + +\begin{enumerate} + + + \item signal: $\APelectron\Pelectron\to\APtauon\Ptauon$ \\ + \item $1.2\times 10^9$ $\tau$ pairs \\ + \item Calculate the thrust axis \\ + \item Tag the other $\tau$ \\ + \item Small cross section $0.919nb$ \\ +\end{enumerate} +\column{2.5in} + +\begin{enumerate} + \item Inclusive $\tau$ cross section: \newline $79.5\pm\unit{8.3}{\micro\barn}$. \\ + \item $8 \times 10^{10} \tau$ produced. \\ + \item Dominant contribution: \newline $\PDs\to\Ptau\Pnut$ ($78\%$) \\ + \item No partial tag possible. \\ +\end{enumerate} + + + +\end{columns} + + +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\setbeamercolor{block body}{use=structure,fg=black,bg=white!70!white} + +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalization with $\PDs \to \phi(\mu \mu) \pi$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.4\textwidth} + +%\begin{block}{Signal \& Calibration \& Background channel} +%\includegraphics[width=.7\textwidth]{topos} +%\newline +%\includegraphics[width=.7\textwidth]{topob2.png} +%\end{block} +Signal \& Calibration \& Background channel:\\ +\includegraphics[width=.9\textwidth]{topos} +\newline +\includegraphics[width=.9\textwidth]{topob2.png} + +\end{column} + + + +\end{columns} +%\textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns}\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH response +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=1.1\textwidth]{Fig4b.png} +\end{column} + +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=1.1\textwidth]{Fig4a.png} +\end{column} + +\end{columns} + + + + + +% \textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% \underbrace{•} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass side-bands + +\end{itemize} +\end{block} +Signal efficiency in 3-BODY BDT vs PID BDT plane. +\end{column} +\begin{column}{.2\textwidth} + + + +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{FIG6.png}} +\end{column} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{Fig2a.png}} +\end{column} + +\end{columns} +%\textref{M.Chrz\k{a}szcz 2014} + +\end{frame} + + + + +\begin{frame} +\frametitle{Extracted upper limit} +\begin{columns}\begin{column}{.8\textwidth} + +\vspace{1.0cm} + +\begin{tabular}{|l|l|l|l|} +\hline + \multicolumn{4}{|c|}{Upper limits} \\ \hline + & \text{observed} & \text{expected} & \text{CL} \\ +\hline + +$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ & $8.0\times 10 ^{-8}$ & $8.3\times 10^{-8}$ & $90\%$\\ + & $ 9.8\times 10 ^{-8}$ & $10.2\times 10^{-8}$ & $95\%$ \\ +\hline +\end{tabular} + + + +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + + {\footnotesize{\href{http://www.sciencedirect.com/science/article/pii/S0370269313004450}{\texttt{PLB 724 (2013) 36-45 }}}} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=0.8\textwidth]{Fig3a.png} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + + +\end{column} +\end{columns} +%\textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary} +\begin{itemize} + + +\item Analyses of LFV and LNV processes are going very well in LHCb +\item We already have a number of best limits in our hands. +\item Stay tuned, more new results coming up soon. +\end{itemize} + + + + +\end{frame} + + + + + + +\end{document} diff --git a/HQL_2014/LFV/hql2.toc b/HQL_2014/LFV/hql2.toc new file mode 100644 index 0000000..962dd90 --- /dev/null +++ b/HQL_2014/LFV/hql2.toc @@ -0,0 +1,9 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} +\beamer@sectionintoc {2}{LHCb detector}{3}{0}{1} +\beamer@sectionintoc {3}{Lepton Flavour Violation}{4}{0}{2} +\beamer@sectionintoc {4}{ $\PB $ decays}{5}{0}{3} +\beamer@subsectionintoc {4}{1}{$\PBminus \to h^{+}\Plepton ^{-}\Plepton ^{-}$}{5}{0}{3} +\beamer@subsectionintoc {4}{2}{$\PB _{(s)}\to \Plepton 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lineto stroke + 0 0.99626 dtransform truncate idtransform setlinewidth pop +newpath 84.68224 26.56656 moveto +169.36447 26.56656 lineto stroke +newpath 123.63016 23.63191 moveto +134.58258 26.56656 lineto +123.63016 29.5012 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/LFV/multihiggs.log b/HQL_2014/LFV/multihiggs.log new file mode 100644 index 0000000..f01baeb --- /dev/null +++ b/HQL_2014/LFV/multihiggs.log @@ -0,0 +1,13 @@ +This is MetaPost, version 1.504 (kpathsea version 6.1.0dev) 16 MAY 2012 17:07 +**multihiggs +(mpost.mp (/usr/share/texlive/texmf-dist/metapost/base/plain.mp +Preloading the plain mem file, version 1.004)) (./multihiggs.mp +(/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 426 strings using 6821 characters + 728968 bytes of node memory + 914 symbolic tokens + 14i,71n,28p,108b,3f stack positions out of 16i,84n,32p,200b,4f +1 output file written: multihiggs.1 + diff --git a/HQL_2014/LFV/multihiggs.mp b/HQL_2014/LFV/multihiggs.mp new file mode 100644 index 0000000..a9783e7 --- /dev/null +++ b/HQL_2014/LFV/multihiggs.mp @@ -0,0 +1,30 @@ +% multihiggs.mp -- do not edit, generated automatically by pseyfert.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 170*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__i2, __i3, __i4, __i5); +vright (__o2, __o3, __o4, __o5); +vconnect ("phantom", __i4, __g1); +vconnect ("fermion,lab.side=left,label=$\APelectron $", __o4, __g1); +vconnect ("phantom,lab.side=right,label=$\PDplus $", __i2, __i3); +vconnect ("phantom,lab.side=right,label=$\Ppiplus $", __o2, __o3); +vconnect ("fermion,lab.side=right,label=$\Pcharm $", __i3, __g3); +vconnect ("fermion,lab.side=right,label=$\Pdown $", __g3, __o3); +vconnect ("fermion,lab.side=left,label=$\APdown $", __o2, __i2); +vfreeze; +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Pmuon $", __g1, __o5); +vconnect ("dashes,lab.side=right,label=$\Phi _S$", __g1, __g3); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/LFV/multihiggs.t1 b/HQL_2014/LFV/multihiggs.t1 new file mode 100644 index 0000000..d1d4b41 --- /dev/null +++ b/HQL_2014/LFV/multihiggs.t1 @@ -0,0 +1,9 @@ +% multihiggs.t1 -- generated from multihiggs.mp +\fmfL(6,13.33315,l){$\PDplus $}% +\fmfL(42.50002,20.66624,t){$\Pcharm $}% +\fmfL(176,13.33315,l){$\Ppiplus $}% +\fmfL(84.99998,-6,t){$\APdown $}% +\fmfL(127.49998,47.33252,t){$\APelectron $}% +\fmfL(125.70401,72.39055,b){$\Pmuon $}% +\fmfL(79,39.99939,r){$\Phi _S$}% +\fmfL(127.50002,20.66624,t){$\Pdown $}% diff --git a/HQL_2014/LFV/multihiggs2.1 b/HQL_2014/LFV/multihiggs2.1 new file mode 100644 index 0000000..b9e1fd4 --- /dev/null +++ b/HQL_2014/LFV/multihiggs2.1 @@ -0,0 +1,53 @@ +%!PS +%%BoundingBox: 0 0 200 80 +%%HiResBoundingBox: 0 0 199.25232 79.70093 +%%Creator: MetaPost 1.208 +%%CreationDate: 2012.09.09:1952 +%%Pages: 1 +%%BeginProlog +%%EndProlog +%%Page: 1 1 + 0 0 0 setrgbcolor 0 0.99626 dtransform truncate idtransform setlinewidth pop + [] 0 setdash 1 setlinecap 1 setlinejoin 10 setmiterlimit +newpath 0 26.56656 moveto +99.62616 26.56656 lineto stroke +newpath 46.42024 23.6322 moveto +57.37128 26.56656 lineto +46.42024 29.50092 lineto + closepath fill +newpath 199.25232 0 moveto +0 0 lineto stroke +newpath 103.019 2.93436 moveto +92.0685 0 lineto +103.019 -2.93436 lineto + closepath fill +newpath 199.25232 53.13315 moveto +99.62616 53.13315 lineto stroke +newpath 152.83208 56.0675 moveto +141.88104 53.13315 lineto +152.83208 50.19879 lineto + closepath fill +newpath 99.62616 53.13315 moveto +199.25232 79.69969 lineto stroke +newpath 146.9172 62.70668 moveto +156.74402 68.36436 lineto +145.40494 68.37788 lineto + closepath fill + 0.99626 0 dtransform exch truncate exch idtransform pop setlinewidth +newpath 99.62616 53.13315 moveto +99.62616 49.8123 lineto stroke +newpath 99.62616 46.4915 moveto +99.62616 43.17065 lineto stroke +newpath 99.62616 39.84985 moveto +99.62616 36.529 lineto stroke +newpath 99.62616 33.2082 moveto +99.62616 29.88736 lineto stroke + 0 0.99626 dtransform truncate idtransform setlinewidth pop +newpath 99.62616 26.56656 moveto +199.25232 26.56656 lineto stroke +newpath 146.0464 23.6322 moveto +156.99744 26.56656 lineto +146.0464 29.50092 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/LFV/multihiggs2.log b/HQL_2014/LFV/multihiggs2.log new file mode 100644 index 0000000..8bc4c68 --- /dev/null +++ b/HQL_2014/LFV/multihiggs2.log @@ -0,0 +1,12 @@ +This is MetaPost, version 1.208 (kpathsea version 5.0.0) (mem=mpost 2012.09.09) 9 SEP 2012 19:52 +**multihiggs2.mp +(./multihiggs2.mp (/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 2575 strings out of 2977 + 7931 string characters out of 11932 + 23637 words of memory out of 3000000 + 893 symbolic tokens out of 16384 + 14i,71n,28p,107b,3f stack positions out of 300i,84n,10000p,200b,15f + 21 string compactions (moved 110397 characters, 24556 strings) +1 output file written: multihiggs2.1 diff --git a/HQL_2014/LFV/multihiggs2.mp b/HQL_2014/LFV/multihiggs2.mp new file mode 100644 index 0000000..a1c2097 --- /dev/null +++ b/HQL_2014/LFV/multihiggs2.mp @@ -0,0 +1,28 @@ +% multihiggs2.mp -- do not edit, generated automatically by ckm2012_1.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 200*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__i2, __i3, __i4, __i5); +vright (__o2, __o3, __o4, __o5); +vconnect ("phantom", __i4, __g1); +vconnect ("fermion,lab.side=left,label=$\APmuon $", __o4, __g1); +vconnect ("fermion,lab.side=right,label=$\Pbottom $", __i3, __g3); +vconnect ("fermion,lab.side=right,label=$\Pstrange $", __g3, __o3); +vconnect ("fermion,lab.side=left,label=$\APup $", __o2, __i2); +vfreeze; +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Ptauon $", __g1, __o5); +vconnect ("dashes,lab.side=right,label=$\Phi _S$", __g1, __g3); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/LFV/multihiggs2.t1 b/HQL_2014/LFV/multihiggs2.t1 new file mode 100644 index 0000000..afc2334 --- /dev/null +++ b/HQL_2014/LFV/multihiggs2.t1 @@ -0,0 +1,7 @@ +% multihiggs2.t1 -- generated from multihiggs2.mp +\fmfL(50.00002,20.66624,t){$\Pbottom $}% +\fmfL(99.99998,-6,t){$\APup $}% +\fmfL(149.99998,47.33252,t){$\APmuon $}% +\fmfL(148.45406,72.46306,b){$\Ptauon $}% +\fmfL(94,39.99939,r){$\Phi _S$}% +\fmfL(150.00002,20.66624,t){$\Pstrange $}% diff --git a/HQL_2014/LFV/multihiggs2.t1.log b/HQL_2014/LFV/multihiggs2.t1.log new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/HQL_2014/LFV/multihiggs2.t1.log diff --git a/HQL_2014/LFV/pic/2d-data2.pdf b/HQL_2014/LFV/pic/2d-data2.pdf new 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new file mode 100644 index 0000000..4a55a9a --- /dev/null +++ b/HQL_2014/LFV/pic/babarLFV.svg @@ -0,0 +1,5472 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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{\beamer@framepages {40}{40}} +\headcommand {\slideentry {4}{0}{17}{41/41}{}{1}} +\headcommand {\beamer@framepages {41}{41}} +\headcommand {\beamer@partpages {37}{41}} +\headcommand {\beamer@subsectionpages {37}{41}} +\headcommand {\beamer@sectionpages {37}{41}} +\headcommand {\beamer@documentpages {41}} +\headcommand {\def \inserttotalframenumber {36}} diff --git a/HQL_2014/LFV/pseyfert.out b/HQL_2014/LFV/pseyfert.out new file mode 100644 index 0000000..a6328f1 --- /dev/null +++ b/HQL_2014/LFV/pseyfert.out @@ -0,0 +1,10 @@ +\BOOKMARK [2][]{Outline0.1}{Lepton Number Violation}{} +\BOOKMARK [3][]{Outline0.1.1.7}{D--0.6mu+-0.6mu/K+-0.6mu--}{Outline0.1} +\BOOKMARK [3][]{Outline0.1.2.9}{B--0.6mu h+--}{Outline0.1} +\BOOKMARK [3][]{Outline0.1.3.16}{B--0.6muD0-0.6mu+-0.6mu--0.6mu--0.6mu}{Outline0.1} +\BOOKMARK [2][]{Outline0.2}{Lepton Flavour Violation}{} +\BOOKMARK [3][]{Outline0.2.1.20}{D--0.6mu h- +-}{Outline0.2} +\BOOKMARK [3][]{Outline0.2.2.23}{B--0.6mu--0.6mu/K--0.6mu-0.6mu}{Outline0.2} +\BOOKMARK [2][]{Outline0.3}{--0.6mu--0.6mu--0.6mu+-0.6mu at hadron colliders \205 first time shown!}{} +\BOOKMARK [2][]{Outline0.4}{Summary}{} +\BOOKMARK [1][]{Outline1}{Appendix}{} diff --git a/HQL_2014/LFV/pseyfert.pdf b/HQL_2014/LFV/pseyfert.pdf new file mode 100644 index 0000000..85f76d8 --- /dev/null +++ b/HQL_2014/LFV/pseyfert.pdf Binary files differ diff --git a/HQL_2014/LFV/pseyfert.snm b/HQL_2014/LFV/pseyfert.snm new file mode 100644 index 0000000..18233ce --- /dev/null +++ b/HQL_2014/LFV/pseyfert.snm @@ -0,0 +1,4 @@ +\beamer@slide {babarB}{18} +\beamer@slide {cleolnv}{18} +\beamer@slide {bellelnv}{18} +\beamer@slide {xxxxx}{18} diff --git a/HQL_2014/LFV/pseyfert.tex b/HQL_2014/LFV/pseyfert.tex new file mode 100644 index 0000000..13a88a7 --- /dev/null +++ b/HQL_2014/LFV/pseyfert.tex @@ -0,0 +1,1543 @@ +\documentclass[xcolor=dvipsnames]{beamer} + + + +\mode +{ + \usetheme{Copenhagen} +%\usecolortheme[named=RoyalBlue]{structure} +%\usecolortheme[named=brown]{structure} +\usecolortheme{beaver} +% \usetheme{Warsaw} +% \useoutertheme{miniframes} + \setbeamercovered{invisible} +\setbeamertemplate{mini frames}[box] +\setbeamertemplate{navigation symbols}{}} +\beamertemplateshadingbackground{brown!10}{White} + +\usepackage{appendixnumberbeamer} +\usepackage{feynmp} +%\beamertemplateshadingbackground{RawSienna!35}{RawSienna!05} + +%\usecolortheme{beaver} + + +%\setbeamercolor{section in toc}{fg=black,bg=white} +%\setbeamercolor{alerted text}{fg=blue} +%\setbeamercolor{structure}{fg=blue!80!black} +%\setbeamercolor*{palette primary}{fg=black,bg=gray!30!white} +%\setbeamercolor*{palette secondary}{fg=black,bg=gray!15!white} +%\setbeamercolor*{palette tertiary}{bg=blue!80!black,fg=gray!10!white} +%\setbeamercolor*{palette quaternary}{fg=blue,bg=gray!5!white} +%\setbeamercolor*{sidebar}{fg=blue,bg=gray!15!white} +%\setbeamercolor*{palette sidebar primary}{fg=blue!10!black} +%\setbeamercolor*{palette sidebar secondary}{fg=white} +%\setbeamercolor*{palette 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head/foot}\vtop{\vskip-2.25ex\hbox{\resizebox{!}{3.25ex}{\usebox{\pilogo}}}}% + \hfill \insertshortauthor~~(\insertshortinstitute) \hfill% + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{title in head/foot}% + \usebeamerfont{title in head/foot}\insertshorttitle% + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,right]{date in head/foot}% + \usebeamerfont{date in head/foot}\insertshortdate{}\hspace*{2em}% + \insertframenumber{} / \inserttotalframenumber\hspace*{2ex} \vtop{\vskip-2.25ex\hbox{\resizebox{!}{3.25ex}{\usebox{\lhcblogo}}}}% + \end{beamercolorbox}}% + \vskip0pt% +} + +\setbeamertemplate{frametitle} +{ + \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% + \leavevmode% + \vskip-2pt\hbox{% + \begin{beamercolorbox}[wd=\paperwidth,left]{frametitle}% + \usebeamerfont{frametitle}% + \vskip.125ex% + \hbox{\vtop{\raisebox{-1ex}[1ex][1ex]{\makebox[0pt][l]{\usebox{\unilogo}}}% + \hspace{1.5cm}\strut\insertframetitle\strut}\par% + {% + \ifx\insertframesubtitle\@empty% + \else% + {\usebeamerfont{framesubtitle}\usebeamercolor[fg]{framesubtitle}\insertframesubtitle\strut\par}% + \fi + }}% + \end{beamercolorbox}% + }% +} + + +\usepackage[english]{babel} +\usepackage[utf8]{inputenc} +\usepackage{graphicx} +\DeclareGraphicsRule{*}{mps}{*}{} + +\usepackage{pgf} +\usepackage{times} +\usepackage[T1]{fontenc} +\usepackage[mathscr]{eucal} +\usepackage{mathrsfs} + +% \usepackage{pgfpages} +% \setbeameroption{show notes on second screen} +%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape] + +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{verbatim} +% \usepackage[amssymb]{SIunits} +%\usepackage{natbib} +\usepackage{amssymb} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{tikz} +%\usetikzlibrary{trees} +%\usetikzlibrary{decorations.pathmorphing} +%\usetikzlibrary{decorations.markings} +\usetikzlibrary{arrows} +\usetikzlibrary{shapes} +%\usetikzlibrary{positioning} +%\usetikzlibrary{patterns} +%\usetikzlibrary{fit} +%\usepackage{verbatim} + +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} + + +\title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays} +\titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012 +%\newline + +\includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo} +%\end{center} +} +%\subtitle{T 60.1} + +% \subtitle{} +\author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}} +\institute[Heidelberg University]{Heidelberg University} +\date[FPCP 2012]{Flavour Physics and CP Violation 2012} +\subject{} + +% \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell} +% \pgfdeclareimage[width=1.2cm]{university-logo}{weak} +% \logo{\pgfuseimage{university-logo}} +% \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate} +% \usebackgroundtemplate{\pgfuseimage{hbild}} + +\newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}} +\begin{document} +\begin{frame} +\titlepage +\end{frame} + +\begin{frame} +\frametitle{Outline} +\tableofcontents +\end{frame} + +\begin{frame} +\begin{center} +{\Huge{Lepton Number Violation}} + +{~} + +\begin{itemize} +\item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +\end{itemize} + +\end{center} +\end{frame} +%\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other) +\section{Lepton Number Violation} +\begin{frame}{Lepton Number Violation} +\begin{columns} +\begin{column}{.75\textwidth} +\begin{itemize} +\item Lepton number is conserved in the Standard Model +\item Lepton number violation introduced in many New Physics models, e.\,g.: +{\footnotesize{ +\begin{itemize} +\item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}}) +\item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}}) +\item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)}) +\end{itemize} +}} +\item Majorana neutrinos violate Lepton Number\newline +classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk}) +\item Similar fundamental process with mesons +\end{itemize} +\end{column} +\begin{column}{.25\textwidth} +\includegraphics[width=\textwidth]{double} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.5\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\invisible<1>{ +\includegraphics[width=.85\textwidth]{./exclusion} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\begin{itemize} +\item strong constraints from $\PK$ decays at low $m_4$ +\item high mass region accessible in $\PD$ and $\PB$ decays +\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.4\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +{\footnotesize{\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize}}} +\end{column} +\begin{column}{.6\textwidth} +{\includegraphics[width=.85\textwidth]{./exclusion} + +Status of 2009 + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +%\begin{itemize} +%\item strong constraints from $\PK$ decays at low $m_4$ +%\item high mass region accessible in $\PD$ and $\PB$ decays +%\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + + + +\subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\begin{frame} +\frametitle{limits on LNV in charm decays} +\begin{columns} +{\begin{column}{.46\textwidth} +%{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}} +{\Large{charm decays}} +\begin{itemize} +\item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$ +%\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$ +%\item $\APelectron\Pelectron\to\PD\APD$ +\item includes Lepton Number and Flavour Violation +\item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays +\item<2> best limit for most channels +\end{itemize} +\only<1>{\includegraphics[width=.4\textwidth]{./babar}} +%\only<2>{ +%{~} +% +%\includegraphics[width=\textwidth]{./DLNVpeaks}} + + +%\only<2>{\begin{alertblock}{background sources} +%\begin{itemize} +%\item combinatorics +%\item QED events +%\item semileptonic decays +%\item $\Ppizero, \Pphi$ resonance +%\end{itemize} +%\end{alertblock}} +\end{column} +\begin{column}{.5\textwidth} +%\only<2>{ +%\begin{block}{Strategy} +%\begin{itemize} +%\item exclude semileptonic charm production +%\item[$\Rightarrow$] reject most combinatorics +%\item require 5 tracks and electron veto on hadron +%\item[$\Rightarrow$] rejects QED background +%\item vertex requirements reject semileptonic background +%\end{itemize} +%\end{block} +%\begin{exampleblock}{Normalisation} +%\begin{itemize} +%\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$ +%\item[$\Rightarrow$] most systematics cancel +%\item PID as remaining systematics +%\end{itemize} +%\end{exampleblock} +%} +\only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV} + +{\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}} +\only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}} +\end{column}} +\end{columns} +%\only<2>{ +%{~} +% +%{~} +% +%{\footnotesize{ +%$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}} +\end{frame} + + + +\subsection{$\PBminus\to h^{+}\ell^{-}\ell^{-}$} + +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\only<1>{ +\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +} +\only<2>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{./B-Majorana2} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{./B-Majorana1} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{special for $\PB$ decays} +%\begin{itemize} +diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + +\end{frame} + + +\begin{frame}{search for Majorana neutrinos at LHCb} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{itemize} +\item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk} +\item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize} +%\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed +\item consider topology in reconstruction +\begin{itemize} +\item allow for flight distance for on-shell neutrinos +\item common vertex for virtual neutrinos +\end{itemize} +\end{itemize} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=2cm]{../lhcb-logo} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.42\textwidth} +\includegraphics[width=.7\textwidth]{reco} +\end{column} +\begin{column}{.52\textwidth} +\includegraphics[width=.7\textwidth]{reco2} +\end{column} +\end{columns} +\end{frame} + + + + +\begin{frame}[t] +\frametitle{virtual Majorana neutrinos} + +%\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +%\end{itemize} +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{./MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame}[t] +\frametitle{on-shell Majorana neutrinos} + +\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +\item mis-identification rates from data with mass shape from simulation +\end{itemize} +\begin{columns} + +\only<1>{ +\begin{column}{.72\textwidth} +\begin{block}{} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ +\only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}} +\end{block} +\end{column} +} + +\end{columns} + + +\only<1>{{ +{~} + +assuming $\PBminus$ phase space decay: + +$\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$ +}} + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame} +\frametitle{implications on Majorana mass} +\begin{exampleblock}{mass extraction} +Determine limit as function of $h^{+}\Pmuon$ mass +\end{exampleblock} +{\begin{center} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ + +{~} + +\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.2cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +\end{frame} + +\begin{frame} +\frametitle{new bounds for on shell Majorana neutrinos} +%LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$ + +%{~} + +%\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}} +\begin{columns} +\begin{column}{.4\textwidth} +LHCb limit on $|V_{\mu 4}|$ + +\includegraphics[width=.98\textwidth]{./constrain.pdf} + +{\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}} +\end{column} +\begin{column}{.55\textwidth} +Status of 2009 + +\includegraphics[width=.98\textwidth]{./vmu4mod} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\end{column} +\end{columns} +\end{frame} + + + + + +\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb +\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$} +\begin{columns}\begin{column}{.5\textwidth} +\includegraphics[width=\textwidth]{./B-Majorana3} +\end{column} +\end{columns} +\begin{itemize} +\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\myhref{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}} +%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$ +\item $m_4=m(\Ppiplus\Pmuon)$ +\item[+] enhanced by $\PW$ couplings +\item[-] smaller mass range accessible ($\unit{260}{\MeV}enhancement predicted in many New Physics models, e.g. +\end{itemize} +\end{column} + +\begin{column}{.55\textwidth} +\only<1>{ +Standard Model + neutrino oscillation + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + \begin{fmffile}{smlfv} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,100) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + \fmfipath{p[]} + + \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2} + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4} + \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + \fmfiset{p1}{vpath1(__g1,__g2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3} + \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\only<2>{ +extended Higgs + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + + + \begin{fmffile}{multihiggs} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\end{column} +\end{columns} +\only<2>{ +\begin{itemize} +\item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}} +\item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}} +\item low scale seesaw models\footnote{\invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.73.074011}{Phys.\ Rev.\ D \textbf{73}, 074011}}} +\end{itemize} +} +\end{frame} + +\begin{frame} +\frametitle{LFV in charm decays} +\begin{columns} +%\begin{column}{.5\textwidth} +%\begin{itemize} +%\item same analysis as LNV search +%\end{itemize} +%\includegraphics[width=\textwidth]{./babarLFV} +%\end{column} +%\begin{column}{.5\textwidth} +%\includegraphics[width=\textwidth]{./babarcharmtableLFV} +% +%{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}} +%\end{column} +\begin{column}{.93\textwidth} +\includegraphics[width=\textwidth]{./lfvhfag2} +\end{column} +\end{columns} +{~} + +\myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]} +\end{frame} + +%\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other +\subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$} +\begin{frame} +\frametitle{LFV in bottom decays} +\begin{center} + + \begin{fmffile}{multihiggs2} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(200,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1} + \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +\end{center} + +{~} + +\begin{itemize} +\item LFV $\Ptau$ sector not probed by $\PD$ decays +\item enough energy available in $\PB$ decays +\item multi Higgs models enhance $\PB\to h\Ptau\Pmu$ over other channels\footnote{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44} 1461}} +\item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$ +\end{itemize} +\end{frame} + + +\begin{frame} +\frametitle{LFV in bottom decays} +%\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}} +\begin{columns} +\begin{column}{.6\textwidth} +{\footnotesize{ +\begin{tabular}{lclr} +channel & limit & & \\\hline +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\% +$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$} +\end{tabular} + +}} +\end{column} +\begin{column}{.4\textwidth} +details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori} + +{~} + +\begin{block}{LFV energy scale} +\vspace{-.5cm} +\begin{align*} +\Lambda_{\APbottom\Pdown}:&\\ +\unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\ +\Lambda_{\APbottom\Pstrange}:&\\ +\unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV} +\end{align*} +\end{block} +%{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}} +% +% +\end{column} +\end{columns} +{~} + +{~} + +{\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}} + +{\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}} +\end{frame} + + + +%\section{other LFV probes from charm} % \tau\to\mu\mu\mu +%\begin{frame} +%\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$} +%\begin{exampleblock}{LFV in $\Ptau$ decays} +%\begin{itemize} +%\item dominated by B factories in $\APtauon\Ptauon$ production \newline +%see next talk by Francesco Renga +%\item also possible to probe with semileptonic $\Ptau$ production +%\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$ +%\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$ +%\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders +%\end{itemize} +%\end{exampleblock} +% +%\end{frame} + +\section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}} +\begin{frame} +\frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item in Standard Model + neutrino oscillation introduced in penguin diagrams +\item highly suppressed ($\mathcal{B}\ll 10^{-50}$) +\item enhanced by e.g. charged Higgs +\item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk}) +\item[!] also possible at hadron colliders +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +%\only<1>{ + \begin{fmffile}{smtau} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6} + \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{o1,g1} + \fmf{phantom,tension=1.5}{g1,i1} + + \fmffreeze + + \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2} + \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2} + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5} + \fmf{phantom,tension=1.5}{i6,g2} + + \fmffreeze + + + \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1} + \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2} + \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1} + + % \fmf{fermion}{i1,w1} + % \fmf{fermion}{w1,g1} + % \fmf{fermion,tension=2}{g1,w2} + % \fmf{fermion}{w2,o1} + + \fmfipath{p[]} + \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} + \fmffreeze + \fmfiset{p1}{vpath1(__w1,__w2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + % \fmfv{lab=g1}{g1} + % \fmfv{lab=g2}{g2} + % \fmfv{lab=w1}{w1} + % \fmfv{lab=w2}{w2} + + \end{fmfgraph*} + + %\caption{Test 4. is $\propto e^{0}$} + %\end{figure} + \end{fmffile} +%} + +{~} + + +{~} + +%\only<2>{ +\begin{fmffile}{chargedhiggs} +\begin{fmfgraph*}(170,80) + +\fmfstraight + +\fmfleft{i} +\fmfright{o1,o2,o3} +\fmf{phantom}{i,g,o2} +\fmffreeze +\fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g} +\fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h} +\fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g} +\fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2} +\fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3} + +\end{fmfgraph*} +\end{fmffile} +%} + + +\end{column} +\end{columns} + +\end{frame} + +\begin{frame}[t] +\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions} +\begin{columns} +\begin{column}{.45\textwidth} +\begin{exampleblock}{$\Ptau$ sources at B factories} +\begin{itemize} +\item $\APelectron\Pelectron\to\APtauon\Ptauon$ +\item allows $\tau$ tag +\end{itemize} +\end{exampleblock} +%\visible<2>{ +%\begin{block}{$\dagger$ cross section} +%\begin{itemize} +%\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)} +%\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013} +%\item branching fractions from PDG\newline (LEP \& B factories) +%\end{itemize} +%\end{block} +%} +\end{column} +\begin{column}{.45\textwidth} +\begin{alertblock}{$\Ptau$ sources at the LHC} +\begin{itemize} +\item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$ +\item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011 +\item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$) +\item[!] no $\tau$ tag possible +\item standard $\tau$ signatures very similar to $\PD$ decays +\newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$) +\end{itemize} +\end{alertblock} +\end{column} +\end{columns} +%\begin{exampleblock}{Normalisation channel} +%\begin{itemize} +%\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$ +%\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ +%\end{itemize} +%\end{exampleblock} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalisation with $\PDs$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +%\texttt{LHCb-CONF-2012-015} + +\only<1>{\begin{block}{Signal \& Calibration channel} +\includegraphics[width=.9\textwidth]{topos} +\end{block}} +\only<2>{\begin{alertblock}{Signal \& peaking background} +\includegraphics[width=.9\textwidth]{topob} +\end{alertblock}} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$} +\begin{block}{produced $\tau$ leptons} +\vspace{-.3cm} +\begin{align*} +%N_\tau = \frac{\sigma(pp\to\Ptau)}{\sigma(pp\to\PDs\to\Ptau)}\times \frac{\mathcal{B}(\PDs\to\Ptau\Pnut)}{\mathcal{B}(\PDs\to\Pphi\Ppi)\times\mathcal{B}(\Pphi\to\Pmu\Pmu)} \times N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi} +\mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)} \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}} +\end{align*} +\end{block} +\begin{columns} +\begin{column}{.48\textwidth} +\begin{exampleblock}{ingredients} +\begin{itemize} +\item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb +\item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories +\item $\Pmu\Pmu\Ppi$ final state +\item[$\rightarrow$] systematics cancel +\only<1>{ +\begin{itemize} +\item trigger +\item reconstruction +%\item kinematics +\item selection +\end{itemize} +} +\only<2>{\item non resonant contribution $<2\,\%$} +\end{itemize} +\end{exampleblock} +\end{column} +\begin{column}{.48\textwidth} +\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +\texttt{LHCb-CONF-2012-015} + +\only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs} + +$45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays +} +\only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi} + +{\footnotesize{background substracted $\APmuon\Pmuon$ mass}} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1a_geobinning3} +\end{column} +\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH information +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{invariant mass} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{two fold role} +\begin{itemize} +\item background estimation in sidebands +\item different signal likelihood inside signal region +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./masssim} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item mass resolution and mass scale calibrated on data +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass sidebands +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item \textcolor{red}{11\,\% signal efficiency} +\item \textcolor{blue}{21\,\% signal efficiency} +\item for illustration:\newline high likelihood range shown +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{observed events} +\begin{columns} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf} +\end{column} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.37\textwidth} +11\,\% of the signal + +0.03\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_1st} +\end{column} +\begin{column}{.37\textwidth} +21\,\% of the signal + +0.14\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_2nd} +\end{column} +\end{columns} +%\end{column} +%\begin{column}{.5\textwidth} +%%next four best bins +%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf} +%\begin{columns} +%\begin{column}{.9\textwidth} +%21\,\% of the signal +% +%0.14\,\% of the background +%\end{column} +%\begin{column}{.1\textwidth} +%\includegraphics[width=\textwidth]{./2d-data2_2nd} +%\end{column} +%\end{columns} +%\end{column} +%\end{columns} + +{~} + + +\begin{columns} +\begin{column}{.65\textwidth} +\begin{description} +\item[\textcolor{red}{red dashed}] combinatorial background +\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$ +\item[\textcolor{blue}{blue}] combined background +\end{description} +\end{column} + +\begin{column}{.35\textwidth} +\includegraphics[width=.26\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-}\texttt{2012-015} + +\end{column} +\end{columns} +%no excess observed + +\end{frame} + +\begin{frame} +\frametitle{extracted limit} +\begin{columns}\begin{column}{.8\textwidth} +\begin{block}{result (preliminary)} +\vspace{-.5cm} +\begin{align*} + & \text{observed} & \text{expected}\\ +\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\ + <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL +\end{align*} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + +\begin{itemize} +\item[Belle] $2.1 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://dx.doi.org/10.1016/j.physletb.2010.03.037}{Phys.\ Lett.\ B \textbf{687}, 139} (2010)}} +\item[BaBar] $3.3 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://link.aps.org/doi/10.1103/PhysRevD.81.111101}{Phys.\ Rev.\ D \textbf{81}, 111101(R)} (2010)}} +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\section*{Summary} +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item neither lepton number violation nor lepton flavour violation observed (yet) +\item hadron decays provide good probes for Lepton Number \& Flavour Violation +\item excellent sensitivity achieved at B factories +\begin{itemize} +\item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays +\end{itemize} +\item LHCb extends knowledge on forbidden $\PB$ decays +\begin{itemize} +\item LNV excluded to $10^{-6\dots -8}$ +\end{itemize} +\item LHCb approaching B factories for $\tau\to\mu\mu\mu$ +\item[$\Rightarrow$] first time done at hadron colliders +\end{itemize} +\end{frame} +\appendix +\begin{frame}[t] +\begin{columns} +\begin{column}{.3\textwidth} +{~} + +{~} + + +\huge{BACKUP} +\end{column} +\end{columns} +\end{frame} + +%\begin{frame} +%\frametitle{LFV in bottom decays} +%{\footnotesize{ +%\begin{tabular}{lclr} +%channel & limit & & \\\hline +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$} +%\end{tabular} +%}} +%\end{frame} +% +\begin{frame} +\frametitle{Sensitivity to long lived Majorana neutrinos} +\begin{itemize} +\item analysis allows for neutrino flight distance +\item probes only Majorana neutrinos decaying inside the detector +\item sensitivity to lifetime provided +\end{itemize} + +{\footnotesize{ +\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}} +a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\ +$\unit{250}{\MeV} +Babel and hyphenation patterns for english, dumylang, nohyphenation, bu +lgarian, ukrainian, russian, french, 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b/HQL_2014/LFV/pseyfertwhite.out @@ -0,0 +1,9 @@ +\BOOKMARK [2][]{Outline0.1}{Lepton Number Violation}{}% 1 +\BOOKMARK [3][]{Outline0.1.1.7}{D--0.6mu+-0.6mu/K+-0.6mu--}{Outline0.1}% 2 +\BOOKMARK [3][]{Outline0.1.2.9}{B--0.6mu h+--}{Outline0.1}% 3 +\BOOKMARK [3][]{Outline0.1.3.16}{B--0.6muD0-0.6mu+-0.6mu--0.6mu--0.6mu}{Outline0.1}% 4 +\BOOKMARK [2][]{Outline0.2}{Lepton Flavour Violation}{}% 5 +\BOOKMARK [3][]{Outline0.2.1.20}{D--0.6mu h- +-}{Outline0.2}% 6 +\BOOKMARK [3][]{Outline0.2.2.23}{B--0.6mu--0.6mu/K--0.6mu-0.6mu}{Outline0.2}% 7 +\BOOKMARK [2][]{Outline0.3}{--0.6mu--0.6mu--0.6mu+-0.6mu at hadron colliders \205 first time shown!}{}% 8 +\BOOKMARK [1][]{Outline1}{Appendix}{}% 9 diff --git a/HQL_2014/LFV/pseyfertwhite.pdf b/HQL_2014/LFV/pseyfertwhite.pdf new file mode 100644 index 0000000..6109cf0 --- /dev/null +++ b/HQL_2014/LFV/pseyfertwhite.pdf Binary files differ diff --git a/HQL_2014/LFV/pseyfertwhite.snm b/HQL_2014/LFV/pseyfertwhite.snm new file mode 100644 index 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toc}{fg=black,bg=white} +%\setbeamercolor{alerted text}{fg=blue} +%\setbeamercolor{structure}{fg=blue!80!black} +%\setbeamercolor*{palette primary}{fg=black,bg=gray!30!white} +%\setbeamercolor*{palette secondary}{fg=black,bg=gray!15!white} +%\setbeamercolor*{palette tertiary}{bg=blue!80!black,fg=gray!10!white} +%\setbeamercolor*{palette quaternary}{fg=blue,bg=gray!5!white} +%\setbeamercolor*{sidebar}{fg=blue,bg=gray!15!white} +%\setbeamercolor*{palette sidebar primary}{fg=blue!10!black} +%\setbeamercolor*{palette sidebar secondary}{fg=white} +%\setbeamercolor*{palette sidebar tertiary}{fg=blue!50!black} +%\setbeamercolor*{palette sidebar quaternary}{fg=gray!10!white} +%\setbeamercolor{titlelike}{parent=palette primary,fg=blue,bg=white} +%\setbeamercolor{frametitle}{fg=white,bg=blue!80!black} +%\setbeamercolor{frametitle right}{bg=gray!60!white} +%\setbeamercolor*{separation line}{} +%\setbeamercolor*{fine separation line}{} + +%\useinnertheme{rectangles} +\useoutertheme{infolines} + +%\loadgraphics{logo-pi-bunt3,lhcb-logo,unisiegel-gray} +\newsavebox{\unilogo} \newsavebox{\pilogo} \newsavebox{\lhcblogo} +\sbox{\unilogo}{\includegraphics[height=1.25cm]{../unisiegel-gray}} +%\sbox{\pilogo}{\includegraphics[height=1.25cm]{logo-pi-bunt3}} +\sbox{\pilogo}{\includegraphics[height=1.25cm]{../PI-Logo_bunt}} +\sbox{\lhcblogo}{\includegraphics[height=1.25cm]{../lhcb-logo}} + +\setbeamertemplate{footline} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,left]{author in head/foot}% + \usebeamerfont{author in head/foot}\vtop{\vskip-2.25ex\hbox{\resizebox{!}{3.25ex}{\usebox{\pilogo}}}}% + \hfill \insertshortauthor~~(\insertshortinstitute) \hfill% + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{title in head/foot}% + \usebeamerfont{title in head/foot}\insertshorttitle% + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,right]{date in head/foot}% + \usebeamerfont{date in head/foot}\insertshortdate{}\hspace*{2em}% + \insertframenumber{} / \inserttotalframenumber\hspace*{2ex} \vtop{\vskip-2.25ex\hbox{\resizebox{!}{3.25ex}{\usebox{\lhcblogo}}}}% + \end{beamercolorbox}}% + \vskip0pt% +} + +\setbeamertemplate{frametitle} +{ + \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% + \leavevmode% + \vskip-2pt\hbox{% + \begin{beamercolorbox}[wd=\paperwidth,left]{frametitle}% + \usebeamerfont{frametitle}% + \vskip.125ex% + \hbox{\vtop{\raisebox{-1ex}[1ex][1ex]{\makebox[0pt][l]{\usebox{\unilogo}}}% + \hspace{1.5cm}\strut\insertframetitle\strut}\par% + {% + \ifx\insertframesubtitle\@empty% + \else% + {\usebeamerfont{framesubtitle}\usebeamercolor[fg]{framesubtitle}\insertframesubtitle\strut\par}% + \fi + }}% + \end{beamercolorbox}% + }% +} + + +\usepackage[english]{babel} +\usepackage[utf8]{inputenc} +\usepackage{graphicx} +\DeclareGraphicsRule{*}{mps}{*}{} + +\usepackage{pgf} +\usepackage{times} +\usepackage[T1]{fontenc} +\usepackage[mathscr]{eucal} +\usepackage{mathrsfs} + +% \usepackage{pgfpages} +% \setbeameroption{show notes on second screen} +%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape] + +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{verbatim} +% \usepackage[amssymb]{SIunits} +%\usepackage{natbib} +\usepackage{amssymb} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{tikz} +%\usetikzlibrary{trees} +%\usetikzlibrary{decorations.pathmorphing} +%\usetikzlibrary{decorations.markings} +\usetikzlibrary{arrows} +\usetikzlibrary{shapes} +%\usetikzlibrary{positioning} +%\usetikzlibrary{patterns} +%\usetikzlibrary{fit} +%\usepackage{verbatim} + +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} + + +\title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays} +\titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012 +%\newline + +\includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo} +%\end{center} +} +%\subtitle{T 60.1} + +% \subtitle{} +\author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}} +\institute[Heidelberg University]{Heidelberg University} +\date[FPCP 2012]{Flavour Physics and CP Violation 2012} +\subject{} + +% \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell} +% \pgfdeclareimage[width=1.2cm]{university-logo}{weak} +% \logo{\pgfuseimage{university-logo}} +% \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate} +% \usebackgroundtemplate{\pgfuseimage{hbild}} + +\newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}} +\begin{document} +\begin{frame} +\titlepage +\end{frame} + +\begin{frame} +\frametitle{Outline} +\tableofcontents +\end{frame} + +\begin{frame} +\begin{center} +{\Huge{Lepton Number Violation}} + +{~} + +\begin{itemize} +\item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +\end{itemize} + +\end{center} +\end{frame} +%\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other) +\section{Lepton Number Violation} +\begin{frame}{Lepton Number Violation} +\begin{columns} +\begin{column}{.75\textwidth} +\begin{itemize} +\item Lepton number is conserved in the Standard Model +\item Lepton number violation introduced in many New Physics models, e.\,g.: +{\footnotesize{ +\begin{itemize} +\item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}}) +\item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}}) +\item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)}) +\end{itemize} +}} +\item Majorana neutrinos violate Lepton Number\newline +classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk}) +\item Similar fundamental process with mesons +\end{itemize} +\end{column} +\begin{column}{.25\textwidth} +\includegraphics[width=\textwidth]{double} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.5\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\invisible<1>{ +\includegraphics[width=.85\textwidth]{./exclusion} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\begin{itemize} +\item strong constraints from $\PK$ decays at low $m_4$ +\item high mass region accessible in $\PD$ and $\PB$ decays +\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.4\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +{\footnotesize{\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize}}} +\end{column} +\begin{column}{.6\textwidth} +{\includegraphics[width=.85\textwidth]{./exclusion} + +Status of 2009 + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +%\begin{itemize} +%\item strong constraints from $\PK$ decays at low $m_4$ +%\item high mass region accessible in $\PD$ and $\PB$ decays +%\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + + + +\subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\begin{frame} +\frametitle{limits on LNV in charm decays} +\begin{columns} +{\begin{column}{.46\textwidth} +%{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}} +{\Large{charm decays}} +\begin{itemize} +\item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$ +%\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$ +%\item $\APelectron\Pelectron\to\PD\APD$ +\item includes Lepton Number and Flavour Violation +\item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays +\item<2> best limit for most channels +\end{itemize} +\only<1>{\includegraphics[width=.4\textwidth]{./babar}} +%\only<2>{ +%{~} +% +%\includegraphics[width=\textwidth]{./DLNVpeaks}} + + +%\only<2>{\begin{alertblock}{background sources} +%\begin{itemize} +%\item combinatorics +%\item QED events +%\item semileptonic decays +%\item $\Ppizero, \Pphi$ resonance +%\end{itemize} +%\end{alertblock}} +\end{column} +\begin{column}{.5\textwidth} +%\only<2>{ +%\begin{block}{Strategy} +%\begin{itemize} +%\item exclude semileptonic charm production +%\item[$\Rightarrow$] reject most combinatorics +%\item require 5 tracks and electron veto on hadron +%\item[$\Rightarrow$] rejects QED background +%\item vertex requirements reject semileptonic background +%\end{itemize} +%\end{block} +%\begin{exampleblock}{Normalisation} +%\begin{itemize} +%\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$ +%\item[$\Rightarrow$] most systematics cancel +%\item PID as remaining systematics +%\end{itemize} +%\end{exampleblock} +%} +\only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV} + +{\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}} +\only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}} +\end{column}} +\end{columns} +%\only<2>{ +%{~} +% +%{~} +% +%{\footnotesize{ +%$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}} +\end{frame} + + + +\subsection{qedewqdqewd} + +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\only<1>{ +\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +} +\only<2>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{special for $\PB$ decays} +%\begin{itemize} +diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + +\end{frame} + + +\begin{frame}{search for Majorana neutrinos at LHCb} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{itemize} +\item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk} +\item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize} +%\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed +\item consider topology in reconstruction +\begin{itemize} +\item allow for flight distance for on-shell neutrinos +\item common vertex for virtual neutrinos +\end{itemize} +\end{itemize} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=2cm]{../lhcb-logo} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.42\textwidth} +\includegraphics[width=.7\textwidth]{reco} +\end{column} +\begin{column}{.52\textwidth} +\includegraphics[width=.7\textwidth]{reco2} +\end{column} +\end{columns} +\end{frame} + + + + +\begin{frame}[t] +\frametitle{virtual Majorana neutrinos} + +%\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +%\end{itemize} +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{./MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame}[t] +\frametitle{on-shell Majorana neutrinos} + +\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +\item mis-identification rates from data with mass shape from simulation +\end{itemize} +\begin{columns} + +\only<1>{ +\begin{column}{.72\textwidth} +\begin{block}{} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ +\only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}} +\end{block} +\end{column} +} + +\end{columns} + + +\only<1>{{ +{~} + +assuming $\PBminus$ phase space decay: + +$\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$ +}} + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame} +\frametitle{implications on Majorana mass} +\begin{exampleblock}{mass extraction} +Determine limit as function of $h^{+}\Pmuon$ mass +\end{exampleblock} +{\begin{center} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ + +{~} + +\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.2cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +\end{frame} + +\begin{frame} +\frametitle{new bounds for on shell Majorana neutrinos} +%LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$ + +%{~} + +%\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}} +\begin{columns} +\begin{column}{.4\textwidth} +LHCb limit on $|V_{\mu 4}|$ + +\includegraphics[width=.98\textwidth]{./constrain.pdf} + +{\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}} +\end{column} +\begin{column}{.55\textwidth} +Status of 2009 + +\includegraphics[width=.98\textwidth]{./vmu4mod} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\end{column} +\end{columns} +\end{frame} + + + + + +\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb +\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$} +\begin{columns}\begin{column}{.5\textwidth} +\includegraphics[width=\textwidth]{./B-Majorana3} +\end{column} +\end{columns} +\begin{itemize} +\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\myhref{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}} +%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$ +\item $m_4=m(\Ppiplus\Pmuon)$ +\item[+] enhanced by $\PW$ couplings +\item[-] smaller mass range accessible ($\unit{260}{\MeV}enhancement predicted in many New Physics models, e.g. +\end{itemize} +\end{column} + +\begin{column}{.55\textwidth} +\only<1>{ +Standard Model + neutrino oscillation + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + \begin{fmffile}{smlfv} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,100) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + \fmfipath{p[]} + + \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2} + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4} + \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + \fmfiset{p1}{vpath1(__g1,__g2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3} + \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\only<2>{ +extended Higgs + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + + + \begin{fmffile}{multihiggs} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\end{column} +\end{columns} +\only<2>{ +\begin{itemize} +\item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}} +\item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}} +\item low scale seesaw models\footnote{\invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.73.074011}{Phys.\ Rev.\ D \textbf{73}, 074011}}} +\end{itemize} +} +\end{frame} + +\begin{frame} +\frametitle{LFV in charm decays} +\begin{columns} +%\begin{column}{.5\textwidth} +%\begin{itemize} +%\item same analysis as LNV search +%\end{itemize} +%\includegraphics[width=\textwidth]{./babarLFV} +%\end{column} +%\begin{column}{.5\textwidth} +%\includegraphics[width=\textwidth]{./babarcharmtableLFV} +% +%{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}} +%\end{column} +\begin{column}{.93\textwidth} +\includegraphics[width=\textwidth]{./lfvhfag2} +\end{column} +\end{columns} +{~} + +\myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]} +\end{frame} + +%\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other +\subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$} +\begin{frame} +\frametitle{LFV in bottom decays} +\begin{center} + + \begin{fmffile}{multihiggs2} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(200,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1} + \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +\end{center} + +{~} + +\begin{itemize} +\item LFV $\Ptau$ sector not probed by $\PD$ decays +\item enough energy available in $\PB$ decays +\item multi Higgs models enhance $\PB\to h\Ptau\Pmu$ over other channels\footnote{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44} 1461}} +\item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$ +\end{itemize} +\end{frame} + + +\begin{frame} +\frametitle{LFV in bottom decays} +%\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}} +\begin{columns} +\begin{column}{.6\textwidth} +{\footnotesize{ +\begin{tabular}{lclr} +channel & limit & & \\\hline +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\% +$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$} +\end{tabular} + +}} +\end{column} +\begin{column}{.4\textwidth} +details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori} + +{~} + +\begin{block}{LFV energy scale} +\vspace{-.5cm} +\begin{align*} +\Lambda_{\APbottom\Pdown}:&\\ +\unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\ +\Lambda_{\APbottom\Pstrange}:&\\ +\unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV} +\end{align*} +\end{block} +%{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}} +% +% +\end{column} +\end{columns} +{~} + +{~} + +{\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}} + +{\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}} +\end{frame} + + + +%\section{other LFV probes from charm} % \tau\to\mu\mu\mu +%\begin{frame} +%\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$} +%\begin{exampleblock}{LFV in $\Ptau$ decays} +%\begin{itemize} +%\item dominated by B factories in $\APtauon\Ptauon$ production \newline +%see next talk by Francesco Renga +%\item also possible to probe with semileptonic $\Ptau$ production +%\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$ +%\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$ +%\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders +%\end{itemize} +%\end{exampleblock} +% +%\end{frame} + +\section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}} +\begin{frame} +\frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item in Standard Model + neutrino oscillation introduced in penguin diagrams +\item highly suppressed ($\mathcal{B}\ll 10^{-50}$) +\item enhanced by e.g. charged Higgs +\item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk}) +\item[!] also possible at hadron colliders +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +%\only<1>{ + \begin{fmffile}{smtau} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6} + \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{o1,g1} + \fmf{phantom,tension=1.5}{g1,i1} + + \fmffreeze + + \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2} + \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2} + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5} + \fmf{phantom,tension=1.5}{i6,g2} + + \fmffreeze + + + \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1} + \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2} + \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1} + + % \fmf{fermion}{i1,w1} + % \fmf{fermion}{w1,g1} + % \fmf{fermion,tension=2}{g1,w2} + % \fmf{fermion}{w2,o1} + + \fmfipath{p[]} + \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} + \fmffreeze + \fmfiset{p1}{vpath1(__w1,__w2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + % \fmfv{lab=g1}{g1} + % \fmfv{lab=g2}{g2} + % \fmfv{lab=w1}{w1} + % \fmfv{lab=w2}{w2} + + \end{fmfgraph*} + + %\caption{Test 4. is $\propto e^{0}$} + %\end{figure} + \end{fmffile} +%} + +{~} + + +{~} + +%\only<2>{ +\begin{fmffile}{chargedhiggs} +\begin{fmfgraph*}(170,80) + +\fmfstraight + +\fmfleft{i} +\fmfright{o1,o2,o3} +\fmf{phantom}{i,g,o2} +\fmffreeze +\fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g} +\fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h} +\fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g} +\fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2} +\fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3} + +\end{fmfgraph*} +\end{fmffile} +%} + + +\end{column} +\end{columns} + +\end{frame} + +\begin{frame}[t] +\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions} +\begin{columns} +\begin{column}{.45\textwidth} +\begin{exampleblock}{$\Ptau$ sources at B factories} +\begin{itemize} +\item $\APelectron\Pelectron\to\APtauon\Ptauon$ +\item allows $\tau$ tag +\end{itemize} +\end{exampleblock} +%\visible<2>{ +%\begin{block}{$\dagger$ cross section} +%\begin{itemize} +%\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)} +%\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013} +%\item branching fractions from PDG\newline (LEP \& B factories) +%\end{itemize} +%\end{block} +%} +\end{column} +\begin{column}{.45\textwidth} +\begin{alertblock}{$\Ptau$ sources at the LHC} +\begin{itemize} +\item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$ +\item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011 +\item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$) +\item[!] no $\tau$ tag possible +\item standard $\tau$ signatures very similar to $\PD$ decays +\newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$) +\end{itemize} +\end{alertblock} +\end{column} +\end{columns} +%\begin{exampleblock}{Normalisation channel} +%\begin{itemize} +%\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$ +%\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ +%\end{itemize} +%\end{exampleblock} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalisation with $\PDs$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +%\texttt{LHCb-CONF-2012-015} + +\only<1>{\begin{block}{Signal \& Calibration channel} +\includegraphics[width=.9\textwidth]{topos} +\end{block}} +\only<2>{\begin{alertblock}{Signal \& peaking background} +\includegraphics[width=.9\textwidth]{topob} +\end{alertblock}} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$} +\begin{block}{produced $\tau$ leptons} +\vspace{-.3cm} +\begin{align*} +%N_\tau = \frac{\sigma(pp\to\Ptau)}{\sigma(pp\to\PDs\to\Ptau)}\times \frac{\mathcal{B}(\PDs\to\Ptau\Pnut)}{\mathcal{B}(\PDs\to\Pphi\Ppi)\times\mathcal{B}(\Pphi\to\Pmu\Pmu)} \times N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi} +\mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)} \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}} +\end{align*} +\end{block} +\begin{columns} +\begin{column}{.48\textwidth} +\begin{exampleblock}{ingredients} +\begin{itemize} +\item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb +\item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories +\item $\Pmu\Pmu\Ppi$ final state +\item[$\rightarrow$] systematics cancel +\only<1>{ +\begin{itemize} +\item trigger +\item reconstruction +%\item kinematics +\item selection +\end{itemize} +} +\only<2>{\item non resonant contribution $<2\,\%$} +\end{itemize} +\end{exampleblock} +\end{column} +\begin{column}{.48\textwidth} +\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +\texttt{LHCb-CONF-2012-015} + +\only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs} + +$45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays +} +\only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi} + +{\footnotesize{background substracted $\APmuon\Pmuon$ mass}} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1a_geobinning3} +\end{column} +\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH information +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{invariant mass} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{two fold role} +\begin{itemize} +\item background estimation in sidebands +\item different signal likelihood inside signal region +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./masssim} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item mass resolution and mass scale calibrated on data +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass sidebands +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item \textcolor{red}{11\,\% signal efficiency} +\item \textcolor{blue}{21\,\% signal efficiency} +\item for illustration:\newline high likelihood range shown +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{observed events} +\begin{columns} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf} +\end{column} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.37\textwidth} +11\,\% of the signal + +0.03\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_1st} +\end{column} +\begin{column}{.37\textwidth} +21\,\% of the signal + +0.14\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_2nd} +\end{column} +\end{columns} +%\end{column} +%\begin{column}{.5\textwidth} +%%next four best bins +%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf} +%\begin{columns} +%\begin{column}{.9\textwidth} +%21\,\% of the signal +% +%0.14\,\% of the background +%\end{column} +%\begin{column}{.1\textwidth} +%\includegraphics[width=\textwidth]{./2d-data2_2nd} +%\end{column} +%\end{columns} +%\end{column} +%\end{columns} + +{~} + + +\begin{columns} +\begin{column}{.65\textwidth} +\begin{description} +\item[\textcolor{red}{red dashed}] combinatorial background +\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$ +\item[\textcolor{blue}{blue}] combined background +\end{description} +\end{column} + +\begin{column}{.35\textwidth} +\includegraphics[width=.26\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-}\texttt{2012-015} + +\end{column} +\end{columns} +%no excess observed + +\end{frame} + +\begin{frame} +\frametitle{extracted limit} +\begin{columns}\begin{column}{.8\textwidth} +\begin{block}{result (preliminary)} +\vspace{-.5cm} +\begin{align*} + & \text{observed} & \text{expected}\\ +\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\ + <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL +\end{align*} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + +\begin{itemize} +\item[Belle] $2.1 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://dx.doi.org/10.1016/j.physletb.2010.03.037}{Phys.\ Lett.\ B \textbf{687}, 139} (2010)}} +\item[BaBar] $3.3 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://link.aps.org/doi/10.1103/PhysRevD.81.111101}{Phys.\ Rev.\ D \textbf{81}, 111101(R)} (2010)}} +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\section*{Summary} +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item neither lepton number violation nor lepton flavour violation observed (yet) +\item hadron decays provide good probes for Lepton Number \& Flavour Violation +\item excellent sensitivity achieved at B factories +\begin{itemize} +\item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays +\end{itemize} +\item LHCb extends knowledge on forbidden $\PB$ decays +\begin{itemize} +\item LNV excluded to $10^{-6\dots -8}$ +\end{itemize} +\item LHCb approaching B factories for $\tau\to\mu\mu\mu$ +\item[$\Rightarrow$] first time done at hadron colliders +\end{itemize} +\end{frame} +\appendix +\begin{frame}[t] +\begin{columns} +\begin{column}{.3\textwidth} +{~} + +{~} + + +\huge{BACKUP} +\end{column} +\end{columns} +\end{frame} + +%\begin{frame} +%\frametitle{LFV in bottom decays} +%{\footnotesize{ +%\begin{tabular}{lclr} +%channel & limit & & \\\hline +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$} +%\end{tabular} +%}} +%\end{frame} +% +\begin{frame} +\frametitle{Sensitivity to long lived Majorana neutrinos} +\begin{itemize} +\item analysis allows for neutrino flight distance +\item probes only Majorana neutrinos decaying inside the detector +\item sensitivity to lifetime provided +\end{itemize} + +{\footnotesize{ +\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}} +a) 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53.13315 lineto +96.10379 56.65555 lineto +99.62619 53.13315 lineto +96.10379 49.61075 lineto +99.62619 53.13315 lineto +103.14859 49.61075 lineto + closepath +gsave fill grestore stroke + 1 setlinecap +newpath 0 26.56656 moveto +66.41745 26.56656 lineto stroke +newpath 29.81592 23.63194 moveto +40.76817 26.56656 lineto +29.81592 29.50117 lineto + closepath fill +newpath 199.25232 0 moveto +0 0 lineto stroke +newpath 103.019 2.93436 moveto +92.0685 0 lineto +103.019 -2.93436 lineto + closepath fill +newpath 199.25232 53.13315 moveto +132.83488 53.13315 lineto stroke +newpath 169.4364 56.06776 moveto +158.48416 53.13315 lineto +169.4364 50.19853 lineto + closepath fill +newpath 66.41745 53.13315 moveto +132.83488 53.13315 lineto stroke +newpath 66.41745 53.13315 moveto +199.25232 79.69969 lineto stroke +newpath 130.08398 62.87373 moveto +140.24687 67.89882 lineto +128.93304 68.62862 lineto + closepath fill + 0.99626 0 dtransform exch truncate exch idtransform pop setlinewidth +newpath 66.41745 53.13315 moveto +66.41745 49.8123 lineto stroke +newpath 66.41745 46.4915 moveto +66.41745 43.17065 lineto stroke +newpath 66.41745 39.84985 moveto +66.41745 36.529 lineto stroke +newpath 66.41745 33.2082 moveto +66.41745 29.88736 lineto stroke +newpath 132.83488 53.13315 moveto +132.83488 49.8123 lineto stroke +newpath 132.83488 46.4915 moveto +132.83488 43.17065 lineto stroke +newpath 132.83488 39.84985 moveto +132.83488 36.529 lineto stroke +newpath 132.83488 33.2082 moveto +132.83488 29.88736 lineto stroke + 0 0.99626 dtransform truncate idtransform setlinewidth pop +newpath 66.41745 26.56656 moveto +132.83488 26.56656 lineto stroke +newpath 96.23337 23.63194 moveto +107.18561 26.56656 lineto +96.23337 29.50117 lineto + closepath fill +newpath 132.83488 26.56656 moveto +199.25232 26.56656 lineto stroke +newpath 162.6508 23.63194 moveto +173.60304 26.56656 lineto +162.6508 29.50117 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/LFV/smlfv2.log b/HQL_2014/LFV/smlfv2.log new file mode 100644 index 0000000..4239f1c --- /dev/null +++ b/HQL_2014/LFV/smlfv2.log @@ -0,0 +1,13 @@ +This is MetaPost, version 1.504 (kpathsea version 6.1.0dev) 15 MAY 2012 21:30 +**smlfv2 +(mpost.mp (/usr/share/texlive/texmf-dist/metapost/base/plain.mp +Preloading the plain mem file, version 1.004)) (./smlfv2.mp +(/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 462 strings using 7356 characters + 754544 bytes of node memory + 914 symbolic tokens + 14i,71n,28p,104b,3f stack positions out of 16i,84n,32p,200b,4f +1 output file written: smlfv2.1 + diff --git a/HQL_2014/LFV/smlfv2.mp b/HQL_2014/LFV/smlfv2.mp new file mode 100644 index 0000000..73675c6 --- /dev/null +++ b/HQL_2014/LFV/smlfv2.mp @@ -0,0 +1,34 @@ +% smlfv2.mp -- do not edit, generated automatically by pseyfert.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 200*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__i2, __i3, __i4, __i5); +vright (__o2, __o3, __o4, __o5); +vconnect ("phantom", __i4, __g1); +path p[]; +vconnect ("plain,label=$\Pnum \to \Pnue $,tag=1", __g1, __g2); +vconnect ("fermion,lab.side=left,label=$\APmuon $", __o4, __g2); +vconnect ("fermion,lab.side=right,label=$\Pbottom $", __i3, __g3); +vconnect ("fermion,lab.side=right,label=$\Pcharm $", __g3, __g4); +vconnect ("fermion,lab.side=right,label=$\Pstrange $", __g4, __o3); +vconnect ("fermion,lab.side=left,label=$\APup $", __o2, __i2); +vfreeze; +p1:=vpath1(__g1,__g2); +ivertex ("d.sh=cross,d.ang=0,d.size=5thick", point length(p1)/2 of p1); +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Ptauon $", __g1, __o5); +vconnect ("dashes,lab.side=right,label=$\PW $", __g1, __g3); +vconnect ("dashes,lab.side=left,label=$\PW $", __g2, __g4); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/LFV/smlfv2.t1 b/HQL_2014/LFV/smlfv2.t1 new file mode 100644 index 0000000..0a2948c --- /dev/null +++ b/HQL_2014/LFV/smlfv2.t1 @@ -0,0 +1,10 @@ +% smlfv2.t1 -- generated from smlfv2.mp +\fmfL(33.33336,20.66624,t){$\Pbottom $}% +\fmfL(99.99998,-6,t){$\APup $}% +\fmfL(166.66664,47.33252,t){$\APmuon $}% +\fmfL(100.00003,47.33252,t){$\Pnum \to \Pnue $}% +\fmfL(132.1567,72.54913,b){$\Ptauon $}% +\fmfL(60.66667,39.99939,r){$\PW $}% +\fmfL(139.33334,39.99939,l){$\PW $}% +\fmfL(100.00003,20.66624,t){$\Pcharm $}% +\fmfL(166.66669,20.66624,t){$\Pstrange $}% diff --git a/HQL_2014/LFV/smtau.1 b/HQL_2014/LFV/smtau.1 new file mode 100644 index 0000000..101a629 --- /dev/null +++ b/HQL_2014/LFV/smtau.1 @@ -0,0 +1,72 @@ +%!PS +%%BoundingBox: 0 0 170 80 +%%HiResBoundingBox: 0 0 169.36447 79.70093 +%%Creator: MetaPost 1.504 +%%CreationDate: 2012.05.16:1707 +%%Pages: 1 +%%BeginProlog +%%EndProlog +%%Page: 1 1 + 0 0 0 setrgbcolor 0 0.99626 dtransform truncate idtransform setlinewidth pop + [] 0 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+137.74428 32.82239 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/LFV/smtau.log b/HQL_2014/LFV/smtau.log new file mode 100644 index 0000000..6faa66d --- /dev/null +++ b/HQL_2014/LFV/smtau.log @@ -0,0 +1,13 @@ +This is MetaPost, version 1.504 (kpathsea version 6.1.0dev) 16 MAY 2012 17:07 +**smtau +(mpost.mp (/usr/share/texlive/texmf-dist/metapost/base/plain.mp +Preloading the plain mem file, version 1.004)) (./smtau.mp +(/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 454 strings using 6813 characters + 824136 bytes of node memory + 917 symbolic tokens + 14i,71n,28p,103b,3f stack positions out of 16i,84n,32p,200b,4f +1 output file written: smtau.1 + diff --git a/HQL_2014/LFV/smtau.mp b/HQL_2014/LFV/smtau.mp new file mode 100644 index 0000000..fddcb5d --- /dev/null +++ b/HQL_2014/LFV/smtau.mp @@ -0,0 +1,35 @@ +% smtau.mp -- do not edit, generated automatically by pseyfert.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 170*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__is3, __is2, __is1, __i1, __i2, __i3, __i4, __i5, __i6); +vright (__os3, __os2, __os1, __o1, __o2, __o3, __o4, __o5, __o6); +vconnect ("phantom", __o1, __g1); +vconnect ("phantom,tension=1.5", __g1, __i1); +vfreeze; +vconnect ("photon, tension=2.,lab.side=left, lab=$\Pphoton /\PZ $", __g1, __g2); +vconnect ("fermion,lab.side=left,label=$\APmuon $", __o3, __g2); +vconnect ("fermion,lab.side=left,label=$\Pmuon $", __g2, __o5); +vconnect ("phantom,tension=1.5", __i6, __g2); +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Pgtm $", __i1, __w1); +vconnect ("dashes,lab.side=right,label=$\PWminus $", __w1, __w2); +vconnect ("fermion,lab.side=right,label=$\Pmuon $", __w2, __o1); +path p[]; +vconnect ("plain,tension=0,right,label={$\Pgngt \to \Pgngm $},tag=1", __w1, __w2); +vfreeze; +p1:=vpath1(__w1,__w2); +ivertex ("d.sh=cross,d.ang=0,d.size=5thick", point length(p1)/2 of p1); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/LFV/smtau.t1 b/HQL_2014/LFV/smtau.t1 new file mode 100644 index 0000000..fc01330 --- /dev/null +++ b/HQL_2014/LFV/smtau.t1 @@ -0,0 +1,8 @@ +% smtau.t1 -- generated from smtau.mp +\fmfL(28.33336,36,b){$\Pgtm $}% +\fmfL(127.94641,46.28162,t){$\APmuon $}% +\fmfL(72.48555,45.88972,rb){$\Pphoton /\PZ $}% +\fmfL(127.18025,68.1724,b){$\Pmuon $}% +\fmfL(85.00002,24,t){$\PWminus $}% +\fmfL(85.00002,-4.33333,t){{$\Pgngt \to \Pgngm $}}% +\fmfL(141.66667,24,t){$\Pmuon $}% diff --git a/HQL_2014/LFV/tau23mu.png b/HQL_2014/LFV/tau23mu.png new file mode 100644 index 0000000..fb7a0e2 --- /dev/null +++ b/HQL_2014/LFV/tau23mu.png Binary files differ diff --git a/HQL_2014/LFV/topob.pdf b/HQL_2014/LFV/topob.pdf new file mode 100644 index 0000000..3c52be1 --- /dev/null +++ b/HQL_2014/LFV/topob.pdf Binary files differ diff --git a/HQL_2014/LFV/topob2.png b/HQL_2014/LFV/topob2.png new file mode 100644 index 0000000..4b5d5cd --- /dev/null +++ b/HQL_2014/LFV/topob2.png Binary files differ diff --git a/HQL_2014/LFV/topos.pdf b/HQL_2014/LFV/topos.pdf new file mode 100644 index 0000000..da0f6fa --- /dev/null +++ b/HQL_2014/LFV/topos.pdf Binary files differ diff --git a/HQL_2014/LFV/topos.svg b/HQL_2014/LFV/topos.svg new file mode 100644 index 0000000..807d435 --- /dev/null +++ b/HQL_2014/LFV/topos.svg @@ -0,0 +1,243 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + D + s + τ + ν + τ + + D + s + µ + µ + µ + µ + µ + π + + φ + + diff --git a/HQL_2014/LFV/uzh.jpg b/HQL_2014/LFV/uzh.jpg new file mode 100644 index 0000000..ba6a5bc --- /dev/null +++ b/HQL_2014/LFV/uzh.jpg Binary files differ diff --git a/HQL_2014/LFV/vmu4.pdf b/HQL_2014/LFV/vmu4.pdf new file mode 100644 index 0000000..d72b796 --- /dev/null +++ b/HQL_2014/LFV/vmu4.pdf Binary files differ diff --git a/HQL_2014/LFV/vmu4.svg b/HQL_2014/LFV/vmu4.svg new file mode 100644 index 0000000..6f5fc23 --- /dev/null +++ b/HQL_2014/LFV/vmu4.svg @@ -0,0 +1,1699 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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100644 index 0000000..c1b70e3 --- /dev/null +++ b/HQL_2014/Rare_decays/2d-data2.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/2d-data2.svg b/HQL_2014/Rare_decays/2d-data2.svg new file mode 100644 index 0000000..320bf29 --- /dev/null +++ b/HQL_2014/Rare_decays/2d-data2.svg @@ -0,0 +1,2612 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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+% title slide definition +\title{$\Lambda_c \to p \mu \mu$ , $\Lambda_c \to \mu \mu \mu$} +%\subtitle{a bias report} +\author{Johannes Albrecht$^{1}$, \underline{Marcin Chrz\k{a}szcz}$^{2,3}$, Tadeusz Lesiak$^{3}$, Oliver Grunberg$^{4}$} +\institute[UTH] +{ +$ ^1$ Technische Universitaet Dortmund \\ +$ ^2$ University of Zurich \\ +$ ^3$ Institute of Nuclear Physics, Krakow \\ +$ ^4$ University of Rostock \\ +} + + + + +\date{$8^{th}$ May 2013} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\begin{document} + + + + +\setbeamertemplate{background} +{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}} +\setbeamertemplate{footline}[default] + +\begin{frame} +\vspace{1.1cm} +\begin{columns} +\column{2.75in} + \titlepage + + \begin{center} + % \includegraphics[height=1.0cm ]{pic/uzh.jpg} + % \hspace{0.5cm} + % \includegraphics[height=1.5cm]{pic/babar.jpg} + \hspace{1cm} + \includegraphics[height=1.0cm]{pic/ifj.png} + \hspace{1cm} + %\includegraphics[height=1.0cm]{pic/SNS.jpg} + \end{center} + \vspace{10cm} +\column{2.0in} +\end{columns} +\end{frame} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + + + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + + + + + + + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + +\title{Report on $\tau \to p \Plepton \Plepton$} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%2>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Motivation} +\begin{frame}\frametitle{Motivation} + +\begin{small} +Following the success of $\tau \to 3 \mu$ and $\tau \to p \mu \mu$ (published 2 weeks ago) we decided to go one step further and analyse analogous channels for $\Lambda_c$. +\begin{itemize} +\item Decays have different physics motivations: +\end{itemize} +\begin{center} + \begin{tabular}{ l | l } + $\tau \to 3 \mu$ LFV & $\Lambda_c \to 3 \mu$ $|B-L|= 0$ \\ + $\tau^{+} \to p \mu^{-} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to p \mu^{-} \mu^{+} $ FCNC \\ + $\tau^{+} \to \bar{p} \mu^{+} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+} $ $|B-L|= 0$ \\ + + \end{tabular} +\end{center} + +\begin{itemize} +\item The current limits ($@$ 90\% CL): +\end{itemize} +$\mathcal{B}( \Lambda_c^{+} \to p \mu^{-} \mu^{+} ) < 4.4 \times 10^{-5}$, arXiv:1107.4465 +\newline +$\mathcal{B}( \Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+} ) < 9.4 \times 10^{-6}$ +\newline +$\mathcal{B}( \Lambda_c^{+} \to 3 \mu )$ No constraints! +\end{small} + + \textref {M.Chrz\k{a}szcz 2012} +\end{frame} + +\section{Strategy} +\begin{frame} + +\frametitle{Strategy} +{~} +Follow the strategy of $\tau$ analysis: +\begin{itemize} +\item Take prompt $\Lambda_c$, separate approach to SL. +\item Loose cut preselection. +\item Train MVA on MC prompt signal and recalibrate on data. +\item Mass resolution we expect similar to $\tau$. $15 MeV$ for $3 \mu$ and $9 Mev$ for $p \mu \mu$. Mean recalibrated from data on $\Lambda_c^{+} \to p K^{-} \pi^{+}$. +\item Normalize to $\Lambda_c^{+} \to p K^{-} \pi^{+}$. +\item Optimise the binning in MVA. +\item CLs method for limit. +\end{itemize} + +\end{frame} + +\section{Comparison $\Lambda_c$ vs $\tau$} +\begin{frame}\frametitle{Comparison $\Lambda_c$ vs $\tau$} +\colorbox{green}{Strong sides of $\Lambda_c$:} + + +\begin{itemize} +\item {No SM background in $3 \mu$ case ($\PDs \to \eta(\mu\mu\gamma) \mu \nu$)} +\item {Smaller combinatorial background than in $\tau$ decays. \Simley{1} } +%\item {Better prospers of observing something. Rare is better than forbidden \Simley{1} } +\end{itemize} + +\colorbox{red}{Weaker sides of $\Lambda_c$:} +\begin{itemize} +\item {Smaller no. of $\Lambda_c$ than $\tau$ to begin with.} +\item {Need to study very carefully $\Lambda_c$ production and backgrounds. } +\Simley{-1} + +\end{itemize} + + + + +\end{frame} + +\section{Work done so far} +\begin{frame}\frametitle{Work done so far} +\begin{itemize} +\item $\Lambda_c \to p \mu \mu$ is already stripped(line was with $\tau$ line all along). +\item $\Lambda_c \to 3\mu$ is being stripped in incremental stripping. +\item Requested 1M signal samples. Production will start next weak. +\item Background studies. (see backup slides). + +\end{itemize} + + + + +\end{frame} + +\begin{frame} +\begin{LARGE} +Backup Slides +\end{LARGE} + + + + + + +\end{frame} + + + +\subsection{} +\begin{frame}\frametitle{Work done so far} +\begin{itemize} +\item $\Lambda_c \to p \mu \mu$ is already stripped(line was with $\tau$ line all along). +\item $\Lambda_c \to 3\mu$ is being stripped in incremental stripping. +\item Requested 1M signal samples. Production will start next weak. +\item Background studies. (see backup slides). + +\end{itemize} + + + +\end{frame} + + + + + + + + + + + + +\end{document} diff --git a/HQL_2014/Rare_decays/Lc2pll.toc b/HQL_2014/Rare_decays/Lc2pll.toc new file mode 100644 index 0000000..92cd541 --- /dev/null +++ b/HQL_2014/Rare_decays/Lc2pll.toc @@ -0,0 +1,6 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} +\beamer@sectionintoc {2}{Motivation}{3}{0}{1} +\beamer@sectionintoc {3}{Strategy}{4}{0}{2} +\beamer@sectionintoc {4}{Comparison $\Lambda _c$ vs $\tau $}{5}{0}{3} +\beamer@sectionintoc {5}{Work done so far}{6}{0}{4} diff --git a/HQL_2014/Rare_decays/Lifetime-eff.pdf b/HQL_2014/Rare_decays/Lifetime-eff.pdf new file mode 100644 index 0000000..ad0dc45 --- /dev/null +++ b/HQL_2014/Rare_decays/Lifetime-eff.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/Lifetime-eff.svg b/HQL_2014/Rare_decays/Lifetime-eff.svg new file mode 100644 index 0000000..6c1da0e --- /dev/null +++ b/HQL_2014/Rare_decays/Lifetime-eff.svg @@ -0,0 +1,3181 @@ + 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b/HQL_2014/Rare_decays/TODO @@ -0,0 +1,5 @@ +reference to liang sun +backup on lifetime +lumi prospects +model dependence +hyperlinks diff --git a/HQL_2014/Rare_decays/UpperAll.pdf b/HQL_2014/Rare_decays/UpperAll.pdf new file mode 100644 index 0000000..291a821 --- /dev/null +++ b/HQL_2014/Rare_decays/UpperAll.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/UpperThreeBody.pdf b/HQL_2014/Rare_decays/UpperThreeBody.pdf new file mode 100644 index 0000000..d13188f --- /dev/null +++ b/HQL_2014/Rare_decays/UpperThreeBody.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/UpperThreeBody.svg b/HQL_2014/Rare_decays/UpperThreeBody.svg new file mode 100644 index 0000000..beea8bd --- /dev/null +++ b/HQL_2014/Rare_decays/UpperThreeBody.svg @@ -0,0 +1,2352 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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0000000..b94ca1f --- /dev/null +++ b/HQL_2014/Rare_decays/babarcharmtableLNV.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/babarcharmtableLNV2.pdf b/HQL_2014/Rare_decays/babarcharmtableLNV2.pdf new file mode 100644 index 0000000..1eec574 --- /dev/null +++ b/HQL_2014/Rare_decays/babarcharmtableLNV2.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/babarlong.jpeg b/HQL_2014/Rare_decays/babarlong.jpeg new file mode 100644 index 0000000..d806ae7 --- /dev/null +++ b/HQL_2014/Rare_decays/babarlong.jpeg Binary files differ diff --git a/HQL_2014/Rare_decays/bananas.png b/HQL_2014/Rare_decays/bananas.png new file mode 100644 index 0000000..76fe1ae --- /dev/null +++ b/HQL_2014/Rare_decays/bananas.png Binary files differ diff --git a/HQL_2014/Rare_decays/beamerouterthemebunsen.sty b/HQL_2014/Rare_decays/beamerouterthemebunsen.sty new file mode 100644 index 0000000..5ee921c --- /dev/null +++ b/HQL_2014/Rare_decays/beamerouterthemebunsen.sty @@ -0,0 +1,33 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. + +\mode + +% color definitions +\definecolor{uipaleblue}{RGB}{96,123,139} + +% footer styling +\setbeamercolor{section in footer}{fg=white,bg=uipaleblue} +\setbeamercolor{subsection in footer}{fg=white,bg=uipaleblue} +\setbeamercolor{pagenumber in footer}{fg=white,bg=uipaleblue} + +\defbeamertemplate*{footline}{bunsentheme} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=.33\paperwidth,ht=2.25ex,dp=1ex,center]{section in footer}% + \inserttitle + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.34\paperwidth,ht=2.25ex,dp=1ex,center]{subsection in footer}% + \insertsectionhead + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.34\paperwidth,ht=2.25ex,dp=1ex,center]{pagenumber in footer}% + \insertframenumber{} / \inserttotalframenumber\hspace*{2ex} + \end{beamercolorbox}}% + \vskip0pt% +} + +\setbeamersize{text margin left=1em,text margin right=1em} + +\mode + diff --git a/HQL_2014/Rare_decays/beamerthemeSybila.sty b/HQL_2014/Rare_decays/beamerthemeSybila.sty new file mode 100644 index 0000000..eddf87b --- /dev/null +++ b/HQL_2014/Rare_decays/beamerthemeSybila.sty @@ -0,0 +1,123 @@ +\mode + +%------------------------------------------------------------------------------- +% Themes +%------------------------------------------------------------------------------- + +\useoutertheme{split} +\useinnertheme{rounded} +\usefonttheme{structurebold} +\useoutertheme{shadow} + +%------------------------------------------------------------------------------- +% Templates +%------------------------------------------------------------------------------- + +\beamertemplatenavigationsymbolsempty +\beamertemplateheadempty +\beamertemplateshadowblocks + +%------------------------------------------------------------------------------- +% Own templates +%------------------------------------------------------------------------------- + +% Normal title page. +\defbeamertemplate*{title page}{simple}[1][] +{ + \vfill + \begin{centering} + \begin{beamercolorbox}[center, rounded=true]{title} + \usebeamerfont{title}\inserttitle\par% + \ifx\insertsubtitle\@empty% + \else% + \vskip0.25em% + {\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}% + \fi% + \end{beamercolorbox}% + + \vskip1em + + \begin{beamercolorbox}[sep=8pt,center,#1]{author} + \usebeamerfont{author}\insertauthor + \end{beamercolorbox} + + \vskip1em + + {\usebeamercolor[fg]{titlegraphic}\inserttitlegraphic\par} + \begin{beamercolorbox}[sep=8pt,center,#1]{institute} + \usebeamerfont{date}\insertinstitute + \end{beamercolorbox} + + \vskip1em + + \begin{beamercolorbox}[sep=8pt,center,#1]{date} + \usebeamerfont{date}\insertdate + \end{beamercolorbox} + \end{centering} + \vfill +} +\defbeamertemplate*{footline}{shadow theme} +{% + \leavevmode% + \hbox{\begin{beamercolorbox}[wd=.5\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm plus1fil,rightskip=0.3cm,center]{author in head/foot}% + \usebeamerfont{author in head/foot}\insertshortauthor \insertinstitute\par + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}% + \usebeamerfont{title in head/foot}\insertshorttitle \hfill \insertframenumber\,/\,\inserttotalframenumber\hfill% + \end{beamercolorbox}}% + \vskip0pt% +} +%------------------------------------------------------------------------------- +% Logo +%------------------------------------------------------------------------------- + +%\logo{\hspace*{0.6\textwidth}\includegraphics[width=1.8cm]{images/uzh.jpg}\hspace*{0.3cm}} +\logo{% + \includegraphics[width=1.8cm,keepaspectratio]{images/uzh.jpg}\hspace*{0.3cm}% + \includegraphics[height=0.6cm,keepaspectratio]{images/ifj.png}% +} + + +%------------------------------------------------------------------------------- +% Colors +%------------------------------------------------------------------------------- + +\setbeamercovered{dynamic} + +\setbeamercolor{math text}{fg=white!0!black} +\setbeamercolor{title}{bg=white!30!black} +\setbeamercolor{frametitle}{bg=white!45!black} +\setbeamercolor{footline}{bg=black,fg=white} +\setbeamercolor{author in head/foot}{bg=black,fg=white} +\setbeamercolor{title in head/foot}{bg=white!45!black} +\setbeamercolor{block title}{bg=white!45!black} +\setbeamercolor{block title example}{bg=white!45!black} +\setbeamercolor{block title alerted}{bg=white!15!black} + +\colorlet{redshaded}{red!25!bg} +\colorlet{shaded}{black!25!bg} +\colorlet{shadedshaded}{black!10!bg} +\colorlet{blackshaded}{black!40!bg} + +\usecolortheme{whale} +\usecolortheme{orchid} + +%------------------------------------------------------------------------------- +% Fonts +%------------------------------------------------------------------------------- + +\setbeamerfont{block title}{size={}} +\setbeamerfont{date}{size=\small} + +%------------------------------------------------------------------------------- +% Other +%------------------------------------------------------------------------------- + +\titlegraphic{ +\includegraphics[width=3.0cm]{images/uzh.jpg}\hspace*{0.3cm} +\includegraphics[height=0.9cm,keepaspectratio]{images/ifj.png}% + +} + +\mode + diff --git a/HQL_2014/Rare_decays/beamerthemebunsen.sty b/HQL_2014/Rare_decays/beamerthemebunsen.sty new file mode 100644 index 0000000..64fcfbb --- /dev/null +++ b/HQL_2014/Rare_decays/beamerthemebunsen.sty @@ -0,0 +1,44 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. + +\mode + +\newif\ifbeamer@secheader +\beamer@secheaderfalse + +\DeclareOptionBeamer{secheader}{\beamer@secheadertrue} +\ProcessOptionsBeamer + +\useoutertheme{bunsen} + +% color definitions +\definecolor{uipaleblue}{RGB}{96,123,139} +\definecolor{uipoppy}{RGB}{225,64,0} + +% set the title color +\setbeamercolor{title}{fg=uipaleblue} + +% set colors for specific elements +\setbeamercolor{block}{fg=uipoppy} +\setbeamercolor{block title}{fg=uipoppy} % adjust title color to poppy +\setbeamercolor{block item}{fg=uipoppy} +\setbeamercolor{itemize item}{fg=uipoppy} % adjusts the bullet color + +% frame title styling +\setbeamertemplate{frametitle}{\vspace{0.4cm} \color{white} \insertframetitle} + +\usesubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\blacktriangleright$}% +} +\usesubsubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\bigstar$}% +} + + +\setbeamersize{text margin left=1em,text margin right=1em} +\setbeamersize{frametitle=\huge} + +\ifbeamer@secheader\else\setbeamertemplate{headline}[default]\fi + +\mode + diff --git a/HQL_2014/Rare_decays/belle2-logo.png b/HQL_2014/Rare_decays/belle2-logo.png new file mode 100644 index 0000000..9434105 --- /dev/null +++ b/HQL_2014/Rare_decays/belle2-logo.png Binary files differ diff --git a/HQL_2014/Rare_decays/bkg.svg b/HQL_2014/Rare_decays/bkg.svg new file mode 100644 index 0000000..3df7f37 --- /dev/null +++ b/HQL_2014/Rare_decays/bkg.svg @@ -0,0 +1,283 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + D + s + τ + ν + τ + + D + s + µ + µ + µ + µ + µ + µ + + γ + + η + ν + μ + + diff --git a/HQL_2014/Rare_decays/blind.png b/HQL_2014/Rare_decays/blind.png new file mode 100644 index 0000000..851aab2 --- /dev/null +++ b/HQL_2014/Rare_decays/blind.png Binary files differ diff --git a/HQL_2014/Rare_decays/blois_v1.aux b/HQL_2014/Rare_decays/blois_v1.aux new file mode 100644 index 0000000..333305a --- /dev/null +++ b/HQL_2014/Rare_decays/blois_v1.aux @@ -0,0 +1,110 @@ +\relax +\ifx\hyper@anchor\@undefined +\global \let \oldcontentsline\contentsline +\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global \let \oldnewlabel\newlabel +\gdef \newlabel#1#2{\newlabelxx{#1}#2} +\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\let 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\usepackage{pgfpagfes} +% \setbeameroption{show notes on second screen} +%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape] +\usepackage{xcolor} +%\usepackage[dvipsnames]{xcolor} +%\usepackage{amsfonts} +%\usepackage{amsmath} +% \usepackage[amssymb]{SIunits} +%\usepackage{natbib} +%\usepackage{amssymb} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{tikz} +\usepackage[polish]{babel} +%%\usepackage{lmodern} +%\usepackage{feynmp} +% suppress navigation bar +\beamertemplatenavigationsymbolsempty +\usepackage[mathscr]{eucal} +\usepackage{mathrsfs} +\mode +{ + \usetheme{bunsen} + \setbeamercovered{transparent} + \setbeamertemplate{items}[circle] +} + +% set fonts +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{verbatim} + +\usetikzlibrary{arrows} +\usetikzlibrary{shapes} + +%\usepackage{gfsartemisia-euler} +%\usepackage[T1]{fontenc} +\setbeamerfont{frametitle}{size=\LARGE,series=\bfseries} +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} +\newcommand{\at}{\makeatletter @\makeatother} + +% color definitions +\usepackage{color} +\definecolor{uipoppy}{RGB}{225, 64, 5} +\definecolor{uipaleblue}{RGB}{96,123,139} +\definecolor{uiblack}{RGB}{0, 0, 0} + +% caption styling +%\DeclareCaptionFont{uiblack}{\color{uiblack}} +%\DeclareCaptionFont{uipoppy}{\color{uipoppy}} +%\captionsetup{labelfont={uipoppy},textfont=uiblack} + +% see the macros.tex file for definitions +\include{macros} + +% title slide definition +\title{Searches for New Physics with LHCb} +\author{Marcin Chrz\k{a}szcz} +\institute[Institute of Nuclear Physics] +{ +University of Zurich, +\newline Institute of Nuclear Physics Krakow, +\newline on behalf of LHCb collaboration +\\{~}\\ +} + + +\date{$29^{th}$ May 2014} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\begin{document} + + + +\setbeamertemplate{background} +{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}} +\setbeamertemplate{footline}[default] + +\begin{frame} +\vspace{1.1cm} +\begin{columns} +\column{2.75in} + \titlepage + + \begin{center} + \includegraphics[height=1cm,keepaspectratio ]{uzh.jpg} + \hspace{0.5cm} + \includegraphics[height=1cm]{pic/LHCb_logo.jpg} + \hspace{0.5cm} + \includegraphics[height=1cm]{pic/ifj.png} + \end{center} + \vspace{10cm} +\column{2.0in} +\end{columns} +\end{frame} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + + + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + + + + + + + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{LHCb detector} + +\begin{frame}\frametitle{LHCb detector} +\begin{columns} +\column{3.in} +\begin{center} +\includegraphics[width=0.98\textwidth]{det.jpg} +\end{center} + +\column{2.1in} +\begin{footnotesize} + +\begin{block}{} + \circled{1} LHCb is a forward spectrometer: + \begin{itemize} + \item Excellent vertex resolution. + \item Efficient trigger. + \item High acceptance for $\Ptau$ and $\PB$. + \item Great Particle ID. + \end{itemize} + + + \end{block} + +\end{footnotesize} +\end{columns} + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +\section{Lepton Flavour Violation} +\begin{frame}\frametitle{Lepton Flavour/Number Violation} +\begin{small} + Lepton Flavour Violation(LFV): +\end{small} + + +\begin{footnotesize} + +After $\Pmuon$ was discovered it was logical to think of it as an excited $\Pelectron$. +\begin{columns} +\column{3in} +\begin{itemize} +\item Expected: $B(\mu\to\Pe\gamma) \approx 10^{-4}$ +\item Unless another $\Pnu$, in intermediate vector boson loop cancels. +\end{itemize} +\column{2in} +{~}\includegraphics[width=0.98\textwidth]{rabi.png} + +\end{columns} +\begin{columns} +\column{1in} +{~} +\column{3in} +\begin{block}{I.I.Rabi:} +"Who ordered that?" +\end{block} +\column{2in} +{~}\includegraphics[scale=0.08]{II_Rabi.jpg} + +\end{columns} + + +\begin{itemize} +\item Up to this day charged LFV is being searched for in various decay modes. +\item LFV was already found in neutrino sector. +\end{itemize} +\end{footnotesize} + + +\begin{footnotesize} + +\begin{columns} +\column{3.5in} +\begin{small} + Lepton Number Violation (LNV) +\end{small} + +\begin{itemize} +\item Even with LFV, lepton number is a conserved quantity. +\item Many new thesis predict it violation(Majorana neutrinos) +\item Searched in so called Neutrinoless double $\beta$ decays. +\end{itemize} + +\column{1.5in} +\includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png} + +\end{columns} + +\end{footnotesize} +%Double_beta_decay_feynman.png + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +% \section{Lepton Number Violation} +\section{$\PB$ decays} +\subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} + +\only<1>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{Special for $\PB$ decays} +%\begin{itemize} +Diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ + Analogous to double $\beta$ decay. +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\setbeamertemplate{background} + {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +\setbeamertemplate{footline}[bunsentheme] + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{Virtual Majorana neutrinos} + + +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{pic/MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\\ Based on $0.41fb^{-1}${~}$7TeV$ data. + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + + {\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +\begin{itemize} +\item Based on full data set${~}3fb^{1}$. +\item Cut based analysis. +\item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$. +\item Searched performed for two scenarios: +\begin{itemize} +\item Short life-time neutrinos: $\tau_4 <1ps$ +\item Long life-time neutrinos: $\tau_4 \in (1,1000) ps$ +\end{itemize} +\end{itemize} +\begin{columns} + +\only<1>{ +\includegraphics[width=\textwidth]{Figure2.png} +} + +\end{columns} + + +\begin{columns} +\begin{column}{8.5cm} + +\includegraphics[width=\textwidth]{Figure3.png} + +\end{column} +\begin{column}{.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} + +\begin{column}{4cm} +\hspace{.4cm} + + + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}} + +\end{column} +\end{columns} + + + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}[t] +\frametitle{On-shell Majorana neutrinos} +{~}\\ +\begin{columns} +\column{2.in} +\includegraphics[width=\textwidth]{Figure5.png}\\ +\includegraphics[width=\textwidth]{Figure6.png}\\ + + +\column{3.0in} +\begin{small} +\begin{itemize} +\item In absence of signal UL. were set. +\item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$. +\item Limits also set for the coupling $| V_{\mu 4} |^2$ +\end{itemize} +{~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar } \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$ +\end{small} +\end{columns} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary on LNV in $\PB$ decays} +\vspace{0.5cm} +\begin{columns} +\begin{column}{.65\textwidth} +\begin{footnotesize} +\begin{tabular}{lclr} +channel & limit & & \\\hline + $\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $ & $<2.3\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\ + $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\ + $\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $ & $<2.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\ + $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\ +$\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\ + $\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $ & $<5.4\times 10^{-7}$ & @$95\,\%$ CL &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\ + %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ + $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\ +\hline +\end{tabular} %pic/LHCb_logo.jpg +\end{footnotesize} +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{$\PB\to \Plepton^{+}\Plepton^{-}$} +\begin{frame}%[t] +\frametitle{$\PB\to \Plepton^{+}\Plepton^{-}$ 1}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\begin{footnotesize} +\begin{columns} + +\column{3in} + +\begin{itemize} +\item A separate physics interest are LFV $\PB$ decays. +\item Predicted by various NP models: lepto-quarks, SUSY, GUT. +\item Analysis based on $1fb^{-1}$ 2011 data. +\item Analogues to our $\PBs \to \mu \mu$ analysis(Phys. Rev. Lett. 110, 021801 (2013)) +\end{itemize} + + + +\column{2in} +\includegraphics[width=\textwidth]{blind.png}\\ +\end{columns} + +\begin{enumerate} +\item Loose reselection based on topology and PID. +\item Classifier trained on MC signal and $b\bar{b} \to \Plepton \Plepton X$ +\item Calibration channel: $\PBzero_{(s)} \to h^+ h^{'-}$ +\item Normalization Channel: $\PBzero \to \PKplus \Ppiminus$ +\item CLs method for limit extraction. +\end{enumerate} +\end{footnotesize} + + + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.141801}{\texttt{Phys. Rev. Lett. 111, 141801 (2013) }}}} + +\end{column} +\end{columns} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +\begin{frame}%[t] +\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ 2} +\begin{footnotesize} +\begin{columns} + +\column{3.1in} + +\begin{itemize} +\item Correction to MC and DATA discrepancies. +\item Excellent proxy: $\PBzero_{(s)} \to h h'$. +\item Fit each BDT bin for $\PBzero_{(s)} \to h h'$ and extract number of events. +\item Correct MC efficiency for each bin. +\item Electron Bremsstrahlung corrected on $\PJpsi \to \Pe \Pe$. +\end{itemize} + +\column{1.9in} +\includegraphics[width=\textwidth]{Fig4a-supp.pdf}\\ +\end{columns} +\begin{columns} + +\column{2.3in} +%\includegraphics[width=\textwidth]{ClsB.png}\\ +\includegraphics[width=\textwidth]{CLS2.png}\\ +\column{3.1in} +%\includegraphics[width=\textwidth]{Fig1a-supp.pdf}\\ +\begin{tabular}{ c | c | c } + {~} & $Br(\PB \to \Pe \Pmu)$ & $Br(\PB_s \to \Pe \Pmu)$ \\ + {~} & \at~$ 90(95)\% CL$ & at~$90(95)\% CL$ \\ \hline +\textcolor{blue}{Expected} & \textcolor{blue}{$4.0(5.0)\times 10^{-9}$}& \textcolor{blue}{$1.5(2.0)\times 10^{-8}$} \\ +\textcolor{red}{Observed} & \textcolor{red}{$2.8(3.7)\times 10^{-9}$}& \textcolor{red}{$1.1(1.4)\times 10^{-8}$} \\ + +\end{tabular} + + +\end{columns} + + +\end{footnotesize} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + +%%%%%%%%%% +\begin{frame}%[t] +\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ Implications} +\begin{footnotesize} +\begin{itemize} +\item LHCb limits exceeds previous CDF by $20$ times. +\item CDF implications to lepto-quarks mass\footnote{Theoretical formula Phys. Rev. D 50 (1994) 6843}. +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >47.8(44.9) TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >59.3(56.3) TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} +\end{itemize} + +\begin{center} +\begin{columns} +\column{0.4in} +{~} +\column{1.85in} +\includegraphics[width=\textwidth]{Fig2a-supp.pdf}\\ +\column{0.2in} +{~} +\column{1.85in} +\includegraphics[width=\textwidth]{Fig2b-supp.pdf}\\ +\column{0.4in} +{~} +\end{columns} + +\end{center} +LHCb limits: +\begin{itemize} +\item $m_{LQ}(\PBs \to \Pe \Pmu) >107(101) TeV$ \@ $90(95\%)$ \at CL. +\item $m_{LQ}(\PBzero \to \Pe \Pmu) >135(126) TeV$ \@ $90(95\%)$ \at CL. + +\end{itemize} + +\end{footnotesize} + \textref{M.Chrz\k{a}szcz 2014} +\end{frame} + + + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + + + + + +%\section{Lepton Flavour Violation} +\section{$\tau$ decays} + + +\subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$} +\begin{frame}\frametitle{Curent status} + + + + +\frametitle{$\Ptau \to \mu \mu \mu$} + +\only<1>{ + + + +\begin{center} +\begin{columns} +\column{3in} +\begin{block}{} + \circled{1} In SM small $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $ \\ + \circled{2} NP can enhance $\mathcal{B}$. \\ + \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\ + \circled{4} Current limits: +\end{block} +\column{2in} +\includegraphics[width=\textwidth]{tau23mu.png}\\ + + +\end{columns} + + + \begin{center} + \begin{tabular}{| l | l |} + \hline Experiment & $90\%$ CL limit \\ + \hline + \hline BaBar & $3.3 \times 10^{-8}$ \\ + \hline Belle & $2.1 \times 10^{-8}$ \\ + \hline +\end{tabular} +\end{center} +\begin{block}{} + \circled{5} Can a hadron collider change the picture? \\ +\end{block} + + + + + + +\end{center} +} +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}\frametitle{Analysis approach} +\begin{columns} +\column{2.5in} +$\mathcal{B}$ factories + + +\column{2.5in} +LHCb, ($7 TeV$, 2011 data) + + + +\end{columns} +\begin{columns} +\column{2.5in} + + +\begin{block}{} + \circled{1} Clean signal: $\APelectron\Pelectron\to\APtauon\Ptauon$ \\ + \circled{2} Calculate the thrust axis \\ + \circled{3} "Partial tag" the other $\tau$ \\ + \circled{4} Small cross section $0.919nb$ \\ +\end{block} +\column{2.5in} + +\begin{block}{} + \circled{1} Inclusive $\tau$ cross section: \newline $79.5\pm\unit{8.3}{\micro\barn}$. \\ + \circled{2} $8 \times 10^{10} \tau$ produced. \\ + \circled{3} Dominant contribution: \newline $\PDs\to\Ptau\Pnut$ ($78\%$) \\ + \circled{4} No tag possible. \\ +\end{block} + + + +\end{columns} + + +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalization with $\PDs \to \phi(\mu \mu) \pi$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} + +\begin{block}{Signal \& Calibration \& Background channel} +\includegraphics[width=.7\textwidth]{topos} +\newline +\includegraphics[width=.7\textwidth]{topob2.png} +\end{block} +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2012} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns}\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH response +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=\textwidth]{Fig4b.png} +\end{column} + +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=\textwidth]{Fig4a.png} +\end{column} + +\end{columns} + + + + + +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% \underbrace{•} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{frame} +\frametitle{Signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass side-bands + +\end{itemize} +\end{block} +Signal efficiency in 3-BODY BDT vs PID BDT plane. +\end{column} +\begin{column}{.2\textwidth} + + + +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{FIG6.png}} +\end{column} +\begin{column}{.48\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{Fig2a.png}} +\end{column} + +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} + +\end{frame} + + + + +\begin{frame} +\frametitle{Extracted upper limit} +\begin{columns}\begin{column}{.8\textwidth} + +\vspace{1.0cm} + +\begin{tabular}{|l|l|l|l|} +\hline + & \text{observed} & \text{expected} & \text{CL} \\ +\hline +$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ & $8.0\times 10 ^{-8}$ & $8.3\times 10^{-8}$ & $90\%$\\ + & $ 9.8\times 10 ^{-8}$ & $10.2\times 10^{-8}$ & $95\%$ \\ +\hline +\end{tabular} + + + +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + + {\footnotesize{\href{http://www.sciencedirect.com/science/article/pii/S0370269313004450}{\texttt{PLB 724 (2013) 36-45 }}}} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=0.8\textwidth]{Fig3a.png} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + + +\end{column} +\end{columns} +\textref{M.Chrz\k{a}szcz 2014} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item LFV and LNV processes are doing very well in LHCb. +\item Lots of best limits already in our hands. +\item Keep tune, lots of new results are coming very soon. +\end{itemize} + + +\textref{M.Chrz\k{a}szcz 2014} + +\end{frame} + 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100644 index 0000000..b0ca04e --- /dev/null +++ b/HQL_2014/Rare_decays/hql.tex @@ -0,0 +1,641 @@ +\documentclass[xcolor=svgnames]{beamer} +\usepackage[utf8]{inputenc} +\usepackage[english]{babel} +\usepackage{polski} +%\usepackage{amssymb,amsmath} +%\usepackage[latin1]{inputenc} +%\usepackage{amsmath} +%\newcommand\abs[1]{\left|#1\right|} +\usepackage{amsmath} +\newcommand\abs[1]{\left|#1\right|} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{color} +\usepackage{feynmp} +\usepackage{pst-pdf} +\usepackage{hyperref} +\usepackage{xcolor} + +\setbeamertemplate{footline}{\insertframenumber/\inserttotalframenumber} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25} + + + +%\DeclareCaptionFont{uiblack}{\color{uiblack}} +%\DeclareCaptionFont{uipoppy}{\color{uipoppy}} +%\captionsetup{labelfont={uipoppy},textfont=uiblack} + +% see the macros.tex file for definitions + + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} +\newcommand{\at}{\makeatletter @\makeatother} + +%-------------------------------------------------------------------- +% Introduction +%-------------------------------------------------------------------- + +\usetheme{Sybila} + +\title[ Rare beauty and charm decays at LHCb]{ Rare beauty and charm decays at LHCb} +\author{Marcin Chrz\k{a}szcz$^{1,2}$ \\ \footnotesize{on behalf of the LHCb collaboration}} +\institute{$^1$~University of Zurich,\\ $^2$~Institute of Nuclear Physics, Krakow \\{~}\\ Heavy Quarks and Leptons 2014 } +\date{\today} +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +\author{Marcin Chrz\k{a}szcz} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- + +\institute{~(UZH, IFJ)} + +%-------------------------------------------------------------------- +% OUTLINE +%-------------------------------------------------------------------- + + +\section[Outline]{} +\begin{frame} +%\tableofcontents +%FIXME! +\begin{enumerate} +\item Rare $\PB$ decays: +\begin{itemize} +\item $\PB \to \PK \Ppi \Ppi \Pphoton$ +\item $\PB \to \mu \mu$. +\item $\Pbeauty \to \Pstrange \Plepton \Plepton$. +\end{itemize} +\item Charm decays: +\begin{itemize} +\item $\PD \to \mu \mu$. +\end{itemize} +\end{enumerate} + +\end{frame} + +%------------------------------------------------------------------- +% Introduction +%------------------------------------------------------------------- +% +% Set the background for the rest of the slides. +% Insert infoline +%\setbeamertemplate{background} +% {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +%\setbeamertemplate{footline}[bunsentheme] + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%\setbeamertemplate{background} +% {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}} +%\setbeamertemplate{footline}[bunsentheme] +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%\section{LHCb detector} + +%\begin{frame}\frametitle{LHCb detector} +%\begin{columns} +%\column{3.in} +%\begin{center} +%\includegraphics[width=0.98\textwidth]{det.jpg} +%\end{center} + +%\column{2.0in} +%\begin{footnotesize} + + + % LHCb is a forward spectrometer: + % \begin{itemize} + % \item Excellent vertex resolution. + % \item Efficient trigger. + % \item High acceptance for $\Ptau$ and $\PB$. + % \item Great Particle ID + % \end{itemize} + + + +%\end{footnotesize} +%\end{columns} + +%\end{frame} + +\section{Introduction} + +\begin{frame}\frametitle{Why rare decays?} +\begin{columns} +\column{4in} +\begin{itemize} +\item CKM structure in SM allows only the charged interactions to change flavour. +\begin{itemize} +\item Other interactions are flavour conserving. +\end{itemize} +\item One can escape the CKM structure and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ only at loop level. +\begin{itemize} +\item This kind of processes are suppressed in SM $\to$~Rare decays. +\end{itemize} +\end{itemize} +\begin{center} +\includegraphics[scale=0.3]{hql/lupa.png} +\includegraphics[scale=0.3]{hql/example.png} +\end{center} +\column{1.5in} +\includegraphics[width=0.62\textwidth]{hql/couplings.png} +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Tools} +\begin{itemize} +\item \textbf{Operator Product Expansion and Effective Field Theory} +\end{itemize} +\begin{columns} +\column{0.1in}{~} +\column{3.2in} +\begin{align*} +H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\ast} \sum_i \left[\underbrace{C_i(\mu)O_i(\mu)}_\text{left-handed} +\underbrace{C'_i(\mu)O'_i(\mu)}_\text{right-handed}\right] +\end{align*} + +\column{2in} +\begin{tiny} +\begin{description} + \item[i=1,2] Tree + \item[i=3-6,8] Gluon penguin + \item[i=7] Photon penguin + \item[i=9.10] EW penguin + \item[i=S] Scalar penguin + \item[i=P] Pseudoscalar penguin + \end{description} + +\end{tiny} +\end{columns} +\begin{center} +\includegraphics[width=0.85\textwidth,height=3cm]{hql/all.png} + +\end{center} + + +\end{frame} + + + +\begin{frame}\frametitle{Radiative decays} + +\begin{columns} +\column{5in} + +\begin{itemize} +\item $\PBzero \to \PKstar \Pphoton$ - first observed penguin! +\begin{itemize} +\item CLEO, [\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.674}{\color{blue}PRL, 71 (1993) 674}] +\end{itemize} +\item B-factories probed NP measuring, inclusively, semi-inclusively ,exclusively $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$ +\end{itemize} +\column{0.1in}{~} + +\end{columns} + + + +\begin{columns} +\column{3in} +\begin{itemize} +\item Is there anyway LHCb can contribute? +\begin{itemize} +\item Measurements of $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$ not very likely. +\item Can probe probe polarization! +\end{itemize} +\end{itemize} +\column{2in} +\includegraphics[width=0.85\textwidth]{hql/btosgamma.png} +\end{columns} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + + +\begin{columns} +\column{5in} + +\begin{itemize} +\item In SM, photons form $\Pbeauty \to \Pstrange \Pphoton$ decays are left handed. +\begin{itemize} +\item Charged current interactions: $C_7/C'_7\sim m_{\Pbeauty}/m_{\Pstrange}$ +\end{itemize} +\item Can test $C_7/C'_7$ using: +\begin{itemize} +\item Mixing induced CP violation: \href{http://arxiv.org/abs/hep-ph/9704272}{\color{blue}Atwood et. al. PRL 79 (1997) 185-188} +\item $\PLambdab$ baryons: \href{http://arxiv.org/abs/hep-ph/0108074}{\color{blue}Hiller \& kagan PRD 65 (2002) 074038} +\end{itemize} +\end{itemize} +\column{0.1in}{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + +\begin{frame}\frametitle{Photon polarization from $\color{white} B^+ \to K^{+} \pi^- \pi^+ \gamma$} + + +\begin{columns} +\column{3.5in} + +\begin{itemize} +\item OR: Study $\PB \to \PK^{\ast \ast} \Pphoton$ decays like $\PBplus \to \PK_1(1270) \Pphoton$ +\begin{itemize} +\item \href{http://arxiv.org/abs/hep-ph/0205065}{\color{blue}Gronau \& Pirjol PRD 66 (2002) 054008} +\end{itemize} +\item The trick is to get the photon polarization from the up-down asymmetry of photon direction in the $\PK \Ppi \Ppi$ rest frame. +\begin{itemize} +\item No asymmetry $\rightarrow$ Unpolarised photons. +\end{itemize} +\item Conceptionally this measurement is similar to the Wu experiment, which first observed the parity violation. + + +\end{itemize} +\column{1.5in} + +\includegraphics[width=0.95\textwidth]{hql/polarization.png} + +\end{columns} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white} B^+ \to K^{+} \pi^- \pi^+ \gamma$ at LHCb} + + +\begin{columns} +\column{3.in} + +\begin{itemize} +\item LHCb looked at $\PBplus \to \PKplus \Ppiminus \Ppiplus \Pphoton$, using photons caught by calorimeter. +\item Got over 13.000 candidates in $3~fb^{-1}$! +\item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.674}{\color{blue} PRL 71 (1993) 674} +\item $\PKplus \Ppiminus \Ppiplus$ system has variety of resonances. +\begin{itemize} +\item No attempt to study them separately. +\item Bin the mass and look for polarization there. +\end{itemize} +\end{itemize} +\column{2in} +{~} +\includegraphics[width=0.95\textwidth]{hql/plotspolarization.png} + +\end{columns} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}%\frametitle{$\color{white} B^+ \to K^{+} \pi^- \pi^+ \gamma$ at LHCb} +\begin{center} +{\color{red} Fit with $\color{red}(C_7'-C_7)/(C_7'+C_7)=0$}, {\color{blue} Best fit} +\includegraphics[width=0.93\textwidth]{hql/photonfit.png} +\end{center} + + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Up-down asymmetry} + +\begin{columns} +\column{3.in} + +\begin{itemize} +\item Combining the 4 bins, gives $5.2\sigma$ significance for no photon polarization hypothesis. +\item Unfortunately without understanding the hadron system it is impossible to tell if the photon is left or right -handed. +\end{itemize} + +\column{2in} +{~} +\includegraphics[width=0.95\textwidth]{hql/aud.png} + +\end{columns} +\begin{center} +$\rightarrow$~ First observation of photon polarization in $\Pbeauty \to \Pstrange \Pphoton$! + +\end{center} + + + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white}B^0 \rightarrow \mu^+ \mu^-$} +\begin{columns} +\column{3.2in} + +\begin{itemize} +\item Clean theoretical prediction, GIM and helicity suppressed in the SM: +\begin{itemize} +\item $\mathcal{B}(\PBs \to \Pmuon \APmuon) = (3.65 \pm 0.23)\times 10^{-9}$ +\item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) = (1.06 \pm 0.09)\times 10^{-10}$ +\end{itemize} +\item Sensitive to contributions from scalar and pesudoscalar. +\item Probing: MSSM, higgs sector, etc. +\item In MSSM: $\mathcal{B}(\PBs \to \Pmuon \APmuon) \sim \tan^6 \beta /m_A^4$ +\end{itemize} + +\column{1.5in} +{~} +\includegraphics[width=0.95\textwidth]{hql/bs2mumu1.png}\\ +\includegraphics[width=0.95\textwidth]{hql/bs2mumu2.png}\\ +\includegraphics[width=0.6\textwidth]{hql/higgspen.png} +\end{columns} + + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{\color{white} $\color{white}B^0 \rightarrow \mu^+ \mu^-$ searches} + + +\begin{columns} +\column{5in} + +\begin{itemize} +\item Background rejection power is a key feature of rare decays $\rightarrow$ use multivariate classifiers (BDT) and strong PID. +\end{itemize} +\column{0.1in}{~} + +\end{columns} +\begin{columns} +\column{2.5in} +\includegraphics[width=0.95\textwidth]{hql/BDT.png} + +\column{2.5in} + +\includegraphics[width=0.95\textwidth]{hql/mass.png} + +\end{columns} + +\begin{itemize} +\item Normalize the BF to $\PBplus \to \PJpsi(\mu\mu) \PKplus$ and $\PBzero \to \PK \Ppi$. +\end{itemize} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{\color{white} $\color{white}B^0 \rightarrow \mu^+ \mu^-$ Results} + + + +\begin{columns} +\column{2.in} +\begin{itemize} +\item Nov. 2012: +\begin{itemize} +\item First evidence $3.5\sigma$ for $B^0 \rightarrow \mu^+ \mu^-$. with $2.1~fb^{-1}$. +\end{itemize} +\item Summer 2013: +\begin{itemize} +\item Full data sample: $3~fb^{-1}$. +\end{itemize} +\end{itemize} +\column{3.0in} + +\includegraphics[width=0.95\textwidth]{hql/mass2.png} + +\end{columns} +\begin{itemize} +\item Measured BF:\\ $\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.9^{+1.1}_{-1.0}(stat.)^{+0.3}_{-0.1}(syst.))\times 10^{-9}$ +\item $4.0 \sigma$ significance! +\item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) < 7 \times 10^{-10}$ at $95\%$ CL +\item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.021801}{\color{blue} PRL 110 (2013) 021801 } +\end{itemize} + + +\end{frame} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{LHCb+CMS Combination} +\begin{Large} + + +\begin{center} +$\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.9 \pm 0.7 )\times 10^{-9}$\\ +$\mathcal{B}(\PBzero \to \Pmuon \APmuon) =(3.6^{+1.6}_{-1.4} )\times 10^{-10}$ +\end{center} +\end{Large} + +\includegraphics[width=0.95\textwidth]{hql/limits.png} + +Full combination CMS+LHCb with simultaneous fit close to completion! + +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{LHCb+CMS Combination} +\begin{Large} + + +\begin{center} +$\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.9 \pm 0.7 )\times 10^{-9}$\\ +$\mathcal{B}(\PBzero \to \Pmuon \APmuon) =(3.6^{+1.6}_{-1.4} )\times 10^{-10}$ +\end{center} +\end{Large} + +\includegraphics[width=0.95\textwidth]{hql/limits.png} + +Full combination CMS+LHCb with simultaneous fit close to completion! + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ angular distributions} +\begin{columns} +\column{2.5in}{~} +\begin{itemize} +\item Can probe photon polarization using virtual photons in $\Pbeauty \to \Pstrange \Plepton \Plepton$. +\item LHCb favourite: $\PBzero \to \PKstar \mu \mu$. +\item Sensitive to lot of new physics models. +\item Decay described by three angles $\theta_l, \theta_K, \phi$ and dimuon invariant mass $q^2$. +\item Analysis is performed in bins of $q^2$. +\end{itemize} +\column{2.5in} +\includegraphics[width=0.95\textwidth]{hql/angles.png} + +\end{columns} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ angular distributions} +\begin{itemize} +\item Angular distributions depends on 11 angular terms: +\includegraphics[width=0.95\textwidth]{hql/eq.png} +\end{itemize} +where the $J_i$ are bilinear combinations of helicity amplitudes. +\begin{itemize} +\item Not enough statistics to fit for 11 parameters $\rightarrow$ need to simplify! +\item Can use symmetries, to reduced the the parameters \\ to 9 $\rightarrow$ still a bit large! +\end{itemize} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ Folding} +\begin{itemize} +\item One can simplify the angular distribution by folding: eg. $\phi \to \phi +\pi$ for ($\phi<0$). +\item Cancels terms with $\cos \phi$ and $\sin \phi$. + +\end{itemize} +\includegraphics[width=0.95\textwidth]{hql/eq2.png} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{$\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ angular distributions } +\begin{itemize} +\item Different foldings cancel different angular observables. \href{http://arxiv.org/abs/1308.1707}{\color{blue}[PRL 111 191801 (2013)]} +\includegraphics[width=0.95\textwidth]{hql/ps.png} +\item Observables $P'_{4,5} = S_{4,5}/\sqrt{F_L(1-F_L)}$ +\item Leading form-factor uncertainties cancel. +\item In $1~fb^{-1}$, LHCb observes a local discreapncy of $3.7\sigma$ in $P'_5$. +\item Probability that at least one bin varies by this much is $0.5\%$. +\end{itemize} + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Understanding the $\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ anomaly 1/2} +\begin{columns} +\column{3.5in} +\begin{itemize} +\item Matias, Decotes-Genon \& Virto performed a global fit to the avaible $\Pbeauty \to \Pstrange \Pphoton$ abd $\Pbeauty \to \Pstrange \Plepton \Plepton$. +\item Found $4.5 \sigma$ discrepancy from SM. +\item Fit favours $C_9^{NP}=1.5$ +\item \href{http://arxiv.org/abs/1307.5683}{\color{blue} PRD 88 074002 (2013)} +\end{itemize} +\begin{itemize} +\item Straub \& Altmannshofer performed a global analysis and found discrepancies at the level of $3\sigma$. Data again best describes a modified $C_9$. +\item Data can be explained by introducing a flavour changing $\PZprime$ boson, with mass $\mathcal{O}(10~TeV)$ +\item \href{http://arxiv.org/abs/1212.2263}{\blue{EPJC 73 2646 (2013)}} +\end{itemize} + +\column{1.5in} +\includegraphics[width=0.9\textwidth]{hql/np.png} +\end{columns} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Understanding the $\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ anomaly 2/2} +\begin{columns} +\column{3in} +\includegraphics[width=0.99\textwidth]{hql/c9.png} +\column{2in} +\begin{itemize} +\item High $q^2$ differential BF suggests are all below SM. +\item Better consistency with $C_9^{NP}=-1.5$ +\end{itemize} + +\end{columns} + + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Lepton universality} +\begin{columns} +\column{3.0in} +\begin{itemize} +\item If $\PZprime$ is responsible for the $P'_5$ anomaly, does it couple equally to all flavours? +\includegraphics[width=0.9\textwidth]{hql/uni2.png} +\item Challenging analysis. +\item Migration of events modeled by MC. +\item Correct breamstrahlung. +\item Take double ration with $\PBplus \to \PJpsi \PKplus$ to cancel systematics. +\item In $3fb^{-1}$, LHCb measures $R_K=0.745^{+0.090}_{-0.074}(stat.)^{+0.036}_{-0.036}(syst.)$ +\item Consistent with SM at $2.6\sigma$. + +\end{itemize} +\column{2.0in} +\includegraphics[width=0.99\textwidth]{hql/universality.png} +\end{columns} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{FCNC in charm decays} +\begin{columns} +\column{3.0in} +\begin{itemize} +\item GIM cancelation. +\item Tiny SM prediction:~$\mathcal{B}(\PDzero \to \mu \mu) \sim 10^{-18}$ + + +\end{itemize} +\column{1.5in} +\includegraphics[width=0.9\textwidth]{hql/ds2mumu.png} +\end{columns} +\includegraphics[width=0.9\textwidth]{hql/ds2mumu2.png} +\begin{small} + +\begin{itemize} +\item Use $\PDstar^{\pm}$ and exploit small $\Delta m$ for background suppression. +\item Limitation is $\pi \to \mu$ mis-id. +\item Limit: $\mathcal{B}(\PDzero \to \mu \mu)<6.8\times 10^{-9}$ at $95\%$ CL +\item \href{http://arxiv.org/abs/1305.5059}{\color{blue} PLB 725 (2013) 15-24} +\end{itemize} + +\end{small} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{FCNC in charm decays} +\begin{columns} +\column{3.0in} +\begin{itemize} +\item GIM cancelation. +\item Tiny SM prediction:~$\mathcal{B}(\PDzero \to \mu \mu) \sim 10^{-18}$ + + +\end{itemize} +\column{1.5in} +\includegraphics[width=0.9\textwidth]{hql/ds2mumu.png} +\end{columns} +\includegraphics[width=0.9\textwidth]{hql/ds2mumu2.png} +\begin{small} + +\begin{itemize} +\item Use $\PDstar^{\pm}$ and exploit small $\Delta m$ for background suppression. +\item Limitation is $\pi \to \mu$ mis-id. +\item Limit: $\mathcal{B}(\PDzero \to \mu \mu)<6.8\times 10^{-9}$ at $95\%$ CL +\item \href{http://arxiv.org/abs/1305.5059}{\color{blue} PLB 725 (2013) 15-24} +\end{itemize} + +\end{small} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Conclusions} +\begin{columns} +\column{3.2in} +\begin{itemize} +\item Rare decays are main players in hutting NP. +\item Can access NP scales beyond reach of GPE. +\item Tension in $\Pbeauty \to \Pstrange \Plepton \Plepton$. +\item List of decays presented in this talk is just a tip of iceberg: +\begin{itemize} +\item Please look at ours: isospin, $A_{CP}$. +\item More are on their way. +\end{itemize} + + +\end{itemize} +\column{2in} +\includegraphics[width=0.9\textwidth]{hql/higgs_boring.png} +\end{columns} + +\end{frame} + + +\end{document} diff --git a/HQL_2014/Rare_decays/hql.toc b/HQL_2014/Rare_decays/hql.toc new file mode 100644 index 0000000..1239ef3 --- /dev/null +++ b/HQL_2014/Rare_decays/hql.toc @@ -0,0 +1,3 @@ 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+\setcounter{beamerpauses}{0} +\setcounter{lecture}{0} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{subsectionslide}{0} +\setcounter{framenumber}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +\setcounter{parentequation}{0} +\setcounter{theorem}{0} +} diff --git a/HQL_2014/Rare_decays/macros.log b/HQL_2014/Rare_decays/macros.log new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/HQL_2014/Rare_decays/macros.log diff --git a/HQL_2014/Rare_decays/macros.tex b/HQL_2014/Rare_decays/macros.tex new file mode 100644 index 0000000..51f4820 --- /dev/null +++ b/HQL_2014/Rare_decays/macros.tex @@ -0,0 +1,15 @@ +% This program can be redistributed and/or modified under the terms +% of the GNU Public License, version 3. + +% adds reference to bottom right of corner of a slide +\usepackage[absolute,overlay]{textpos} % text references in slide corners +\newcommand\textref[1]{% + \begin{textblock*}{\paperwidth}(0pt,0.99\textheight) + \raggedleft \tiny{\emph{#1}}\hspace{.5em} + \end{textblock*}} + +% for drawing circles around numbers +% ex. \circled{1} Add some text here. +\usepackage{tikz} +\newcommand*\circled[1]{\tikz[baseline=(char.base)]{ + \node[shape=circle,draw,inner sep=2pt] (char) {#1};}} diff --git a/HQL_2014/Rare_decays/mass_bins.pdf b/HQL_2014/Rare_decays/mass_bins.pdf new file mode 100644 index 0000000..8d87cb0 --- /dev/null +++ b/HQL_2014/Rare_decays/mass_bins.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/masssim.pdf b/HQL_2014/Rare_decays/masssim.pdf new file mode 100644 index 0000000..10e0a73 --- /dev/null +++ b/HQL_2014/Rare_decays/masssim.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/multihiggs.1 b/HQL_2014/Rare_decays/multihiggs.1 new file mode 100644 index 0000000..61d8a7b --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs.1 @@ -0,0 +1,53 @@ +%!PS +%%BoundingBox: 0 0 170 80 +%%HiResBoundingBox: 0 0 169.36447 79.70093 +%%Creator: MetaPost 1.504 +%%CreationDate: 2012.05.16:1707 +%%Pages: 1 +%%BeginProlog +%%EndProlog +%%Page: 1 1 + 0 0 0 setrgbcolor 0 0.99626 dtransform truncate idtransform setlinewidth pop + [] 0 setdash 1 setlinecap 1 setlinejoin 10 setmiterlimit +newpath 0 26.56656 moveto +84.68224 26.56656 lineto stroke +newpath 38.94792 23.63191 moveto +49.90034 26.56656 lineto +38.94792 29.5012 lineto + closepath fill +newpath 169.36447 0 moveto +0 0 lineto stroke +newpath 88.07417 2.93431 moveto +77.12347 0 lineto +88.07417 -2.93431 lineto + closepath fill +newpath 169.36447 53.13315 moveto +84.68224 53.13315 lineto stroke +newpath 130.41655 56.0678 moveto +119.46413 53.13315 lineto +130.41655 50.1985 lineto + closepath fill +newpath 84.68224 53.13315 moveto +169.36447 79.69969 lineto stroke +newpath 124.66408 62.60048 moveto +134.23637 68.6793 lineto +122.90712 68.20088 lineto + closepath fill + 0.99626 0 dtransform exch truncate exch idtransform pop setlinewidth +newpath 84.68224 53.13315 moveto +84.68224 49.8123 lineto stroke +newpath 84.68224 46.4915 moveto +84.68224 43.17065 lineto stroke +newpath 84.68224 39.84985 moveto +84.68224 36.529 lineto stroke +newpath 84.68224 33.2082 moveto +84.68224 29.88736 lineto stroke + 0 0.99626 dtransform truncate idtransform setlinewidth pop +newpath 84.68224 26.56656 moveto +169.36447 26.56656 lineto stroke +newpath 123.63016 23.63191 moveto +134.58258 26.56656 lineto +123.63016 29.5012 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/Rare_decays/multihiggs.log b/HQL_2014/Rare_decays/multihiggs.log new file mode 100644 index 0000000..f01baeb --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs.log @@ -0,0 +1,13 @@ +This is MetaPost, version 1.504 (kpathsea version 6.1.0dev) 16 MAY 2012 17:07 +**multihiggs +(mpost.mp (/usr/share/texlive/texmf-dist/metapost/base/plain.mp +Preloading the plain mem file, version 1.004)) (./multihiggs.mp +(/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 426 strings using 6821 characters + 728968 bytes of node memory + 914 symbolic tokens + 14i,71n,28p,108b,3f stack positions out of 16i,84n,32p,200b,4f +1 output file written: multihiggs.1 + diff --git a/HQL_2014/Rare_decays/multihiggs.mp b/HQL_2014/Rare_decays/multihiggs.mp new file mode 100644 index 0000000..a9783e7 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs.mp @@ -0,0 +1,30 @@ +% multihiggs.mp -- do not edit, generated automatically by pseyfert.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 170*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__i2, __i3, __i4, __i5); +vright (__o2, __o3, __o4, __o5); +vconnect ("phantom", __i4, __g1); +vconnect ("fermion,lab.side=left,label=$\APelectron $", __o4, __g1); +vconnect ("phantom,lab.side=right,label=$\PDplus $", __i2, __i3); +vconnect ("phantom,lab.side=right,label=$\Ppiplus $", __o2, __o3); +vconnect ("fermion,lab.side=right,label=$\Pcharm $", __i3, __g3); +vconnect ("fermion,lab.side=right,label=$\Pdown $", __g3, __o3); +vconnect ("fermion,lab.side=left,label=$\APdown $", __o2, __i2); +vfreeze; +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Pmuon $", __g1, __o5); +vconnect ("dashes,lab.side=right,label=$\Phi _S$", __g1, __g3); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/Rare_decays/multihiggs.t1 b/HQL_2014/Rare_decays/multihiggs.t1 new file mode 100644 index 0000000..d1d4b41 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs.t1 @@ -0,0 +1,9 @@ +% multihiggs.t1 -- generated from multihiggs.mp +\fmfL(6,13.33315,l){$\PDplus $}% +\fmfL(42.50002,20.66624,t){$\Pcharm $}% +\fmfL(176,13.33315,l){$\Ppiplus $}% +\fmfL(84.99998,-6,t){$\APdown $}% +\fmfL(127.49998,47.33252,t){$\APelectron $}% +\fmfL(125.70401,72.39055,b){$\Pmuon $}% +\fmfL(79,39.99939,r){$\Phi _S$}% +\fmfL(127.50002,20.66624,t){$\Pdown $}% diff --git a/HQL_2014/Rare_decays/multihiggs2.1 b/HQL_2014/Rare_decays/multihiggs2.1 new file mode 100644 index 0000000..b9e1fd4 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs2.1 @@ -0,0 +1,53 @@ +%!PS +%%BoundingBox: 0 0 200 80 +%%HiResBoundingBox: 0 0 199.25232 79.70093 +%%Creator: MetaPost 1.208 +%%CreationDate: 2012.09.09:1952 +%%Pages: 1 +%%BeginProlog +%%EndProlog +%%Page: 1 1 + 0 0 0 setrgbcolor 0 0.99626 dtransform truncate idtransform setlinewidth pop + [] 0 setdash 1 setlinecap 1 setlinejoin 10 setmiterlimit +newpath 0 26.56656 moveto +99.62616 26.56656 lineto stroke +newpath 46.42024 23.6322 moveto +57.37128 26.56656 lineto +46.42024 29.50092 lineto + closepath fill +newpath 199.25232 0 moveto +0 0 lineto stroke +newpath 103.019 2.93436 moveto +92.0685 0 lineto +103.019 -2.93436 lineto + closepath fill +newpath 199.25232 53.13315 moveto +99.62616 53.13315 lineto stroke +newpath 152.83208 56.0675 moveto +141.88104 53.13315 lineto +152.83208 50.19879 lineto + closepath fill +newpath 99.62616 53.13315 moveto +199.25232 79.69969 lineto stroke +newpath 146.9172 62.70668 moveto +156.74402 68.36436 lineto +145.40494 68.37788 lineto + closepath fill + 0.99626 0 dtransform exch truncate exch idtransform pop setlinewidth +newpath 99.62616 53.13315 moveto +99.62616 49.8123 lineto stroke +newpath 99.62616 46.4915 moveto +99.62616 43.17065 lineto stroke +newpath 99.62616 39.84985 moveto +99.62616 36.529 lineto stroke +newpath 99.62616 33.2082 moveto +99.62616 29.88736 lineto stroke + 0 0.99626 dtransform truncate idtransform setlinewidth pop +newpath 99.62616 26.56656 moveto +199.25232 26.56656 lineto stroke +newpath 146.0464 23.6322 moveto +156.99744 26.56656 lineto +146.0464 29.50092 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/Rare_decays/multihiggs2.log b/HQL_2014/Rare_decays/multihiggs2.log new file mode 100644 index 0000000..8bc4c68 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs2.log @@ -0,0 +1,12 @@ +This is MetaPost, version 1.208 (kpathsea version 5.0.0) (mem=mpost 2012.09.09) 9 SEP 2012 19:52 +**multihiggs2.mp +(./multihiggs2.mp (/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 2575 strings out of 2977 + 7931 string characters out of 11932 + 23637 words of memory out of 3000000 + 893 symbolic tokens out of 16384 + 14i,71n,28p,107b,3f stack positions out of 300i,84n,10000p,200b,15f + 21 string compactions (moved 110397 characters, 24556 strings) +1 output file written: multihiggs2.1 diff --git a/HQL_2014/Rare_decays/multihiggs2.mp b/HQL_2014/Rare_decays/multihiggs2.mp new file mode 100644 index 0000000..a1c2097 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs2.mp @@ -0,0 +1,28 @@ +% multihiggs2.mp -- do not edit, generated automatically by ckm2012_1.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 200*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__i2, __i3, __i4, __i5); +vright (__o2, __o3, __o4, __o5); +vconnect ("phantom", __i4, __g1); +vconnect ("fermion,lab.side=left,label=$\APmuon $", __o4, __g1); +vconnect ("fermion,lab.side=right,label=$\Pbottom $", __i3, __g3); +vconnect ("fermion,lab.side=right,label=$\Pstrange $", __g3, __o3); +vconnect ("fermion,lab.side=left,label=$\APup $", __o2, __i2); +vfreeze; +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Ptauon $", __g1, __o5); +vconnect ("dashes,lab.side=right,label=$\Phi _S$", __g1, __g3); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/Rare_decays/multihiggs2.t1 b/HQL_2014/Rare_decays/multihiggs2.t1 new file mode 100644 index 0000000..afc2334 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs2.t1 @@ -0,0 +1,7 @@ +% multihiggs2.t1 -- generated from multihiggs2.mp +\fmfL(50.00002,20.66624,t){$\Pbottom $}% +\fmfL(99.99998,-6,t){$\APup $}% +\fmfL(149.99998,47.33252,t){$\APmuon $}% +\fmfL(148.45406,72.46306,b){$\Ptauon $}% +\fmfL(94,39.99939,r){$\Phi _S$}% +\fmfL(150.00002,20.66624,t){$\Pstrange $}% diff --git a/HQL_2014/Rare_decays/multihiggs2.t1.log b/HQL_2014/Rare_decays/multihiggs2.t1.log new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/HQL_2014/Rare_decays/multihiggs2.t1.log diff --git a/HQL_2014/Rare_decays/pic/2d-data2.pdf b/HQL_2014/Rare_decays/pic/2d-data2.pdf new file mode 100644 index 0000000..c1b70e3 --- /dev/null +++ b/HQL_2014/Rare_decays/pic/2d-data2.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/pic/2d-data2.svg b/HQL_2014/Rare_decays/pic/2d-data2.svg new file mode 100644 index 0000000..320bf29 --- /dev/null +++ b/HQL_2014/Rare_decays/pic/2d-data2.svg @@ -0,0 +1,2612 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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\ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% + \leavevmode% + \vskip-2pt\hbox{% + \begin{beamercolorbox}[wd=\paperwidth,left]{frametitle}% + \usebeamerfont{frametitle}% + \vskip.125ex% + \hbox{\vtop{\raisebox{-1ex}[1ex][1ex]{\makebox[0pt][l]{\usebox{\unilogo}}}% + \hspace{1.5cm}\strut\insertframetitle\strut}\par% + {% + \ifx\insertframesubtitle\@empty% + \else% + {\usebeamerfont{framesubtitle}\usebeamercolor[fg]{framesubtitle}\insertframesubtitle\strut\par}% + \fi + }}% + \end{beamercolorbox}% + }% +} + + +\usepackage[english]{babel} +\usepackage[utf8]{inputenc} +\usepackage{graphicx} +\DeclareGraphicsRule{*}{mps}{*}{} + +\usepackage{pgf} +\usepackage{times} +\usepackage[T1]{fontenc} +\usepackage[mathscr]{eucal} +\usepackage{mathrsfs} + +% \usepackage{pgfpages} +% \setbeameroption{show notes on second screen} +%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape] + +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{verbatim} +% \usepackage[amssymb]{SIunits} +%\usepackage{natbib} +\usepackage{amssymb} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\usepackage{tikz} +%\usetikzlibrary{trees} +%\usetikzlibrary{decorations.pathmorphing} +%\usetikzlibrary{decorations.markings} +\usetikzlibrary{arrows} +\usetikzlibrary{shapes} +%\usetikzlibrary{positioning} +%\usetikzlibrary{patterns} +%\usetikzlibrary{fit} +%\usepackage{verbatim} + +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} + + +\title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays} +\titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012 +%\newline + +\includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo} +%\end{center} +} +%\subtitle{T 60.1} + +% \subtitle{} +\author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}} +\institute[Heidelberg University]{Heidelberg University} +\date[FPCP 2012]{Flavour Physics and CP Violation 2012} +\subject{} + +% \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell} +% \pgfdeclareimage[width=1.2cm]{university-logo}{weak} +% \logo{\pgfuseimage{university-logo}} +% \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate} +% \usebackgroundtemplate{\pgfuseimage{hbild}} + +\newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}} +\begin{document} +\begin{frame} +\titlepage +\end{frame} + +\begin{frame} +\frametitle{Outline} +\tableofcontents +\end{frame} + +\begin{frame} +\begin{center} +{\Huge{Lepton Number Violation}} + +{~} + +\begin{itemize} +\item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +\end{itemize} + +\end{center} +\end{frame} +%\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other) +\section{Lepton Number Violation} +\begin{frame}{Lepton Number Violation} +\begin{columns} +\begin{column}{.75\textwidth} +\begin{itemize} +\item Lepton number is conserved in the Standard Model +\item Lepton number violation introduced in many New Physics models, e.\,g.: +{\footnotesize{ +\begin{itemize} +\item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}}) +\item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}}) +\item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)}) +\end{itemize} +}} +\item Majorana neutrinos violate Lepton Number\newline +classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk}) +\item Similar fundamental process with mesons +\end{itemize} +\end{column} +\begin{column}{.25\textwidth} +\includegraphics[width=\textwidth]{double} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.5\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\invisible<1>{ +\includegraphics[width=.85\textwidth]{./exclusion} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\begin{itemize} +\item strong constraints from $\PK$ decays at low $m_4$ +\item high mass region accessible in $\PD$ and $\PB$ decays +\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.4\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +{\footnotesize{\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize}}} +\end{column} +\begin{column}{.6\textwidth} +{\includegraphics[width=.85\textwidth]{./exclusion} + +Status of 2009 + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +%\begin{itemize} +%\item strong constraints from $\PK$ decays at low $m_4$ +%\item high mass region accessible in $\PD$ and $\PB$ decays +%\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + + + +\subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\begin{frame} +\frametitle{limits on LNV in charm decays} +\begin{columns} +{\begin{column}{.46\textwidth} +%{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}} +{\Large{charm decays}} +\begin{itemize} +\item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$ +%\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$ +%\item $\APelectron\Pelectron\to\PD\APD$ +\item includes Lepton Number and Flavour Violation +\item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays +\item<2> best limit for most channels +\end{itemize} +\only<1>{\includegraphics[width=.4\textwidth]{./babar}} +%\only<2>{ +%{~} +% +%\includegraphics[width=\textwidth]{./DLNVpeaks}} + + +%\only<2>{\begin{alertblock}{background sources} +%\begin{itemize} +%\item combinatorics +%\item QED events +%\item semileptonic decays +%\item $\Ppizero, \Pphi$ resonance +%\end{itemize} +%\end{alertblock}} +\end{column} +\begin{column}{.5\textwidth} +%\only<2>{ +%\begin{block}{Strategy} +%\begin{itemize} +%\item exclude semileptonic charm production +%\item[$\Rightarrow$] reject most combinatorics +%\item require 5 tracks and electron veto on hadron +%\item[$\Rightarrow$] rejects QED background +%\item vertex requirements reject semileptonic background +%\end{itemize} +%\end{block} +%\begin{exampleblock}{Normalisation} +%\begin{itemize} +%\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$ +%\item[$\Rightarrow$] most systematics cancel +%\item PID as remaining systematics +%\end{itemize} +%\end{exampleblock} +%} +\only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV} + +{\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}} +\only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}} +\end{column}} +\end{columns} +%\only<2>{ +%{~} +% +%{~} +% +%{\footnotesize{ +%$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}} +\end{frame} + + + +\subsection{$\PBminus\to h^{+}\ell^{-}\ell^{-}$} + +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\only<1>{ +\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +} +\only<2>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{./B-Majorana2} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{./B-Majorana1} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{special for $\PB$ decays} +%\begin{itemize} +diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + +\end{frame} + + +\begin{frame}{search for Majorana neutrinos at LHCb} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{itemize} +\item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk} +\item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize} +%\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed +\item consider topology in reconstruction +\begin{itemize} +\item allow for flight distance for on-shell neutrinos +\item common vertex for virtual neutrinos +\end{itemize} +\end{itemize} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=2cm]{../lhcb-logo} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.42\textwidth} +\includegraphics[width=.7\textwidth]{reco} +\end{column} +\begin{column}{.52\textwidth} +\includegraphics[width=.7\textwidth]{reco2} +\end{column} +\end{columns} +\end{frame} + + + + +\begin{frame}[t] +\frametitle{virtual Majorana neutrinos} + +%\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +%\end{itemize} +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{./MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame}[t] +\frametitle{on-shell Majorana neutrinos} + +\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +\item mis-identification rates from data with mass shape from simulation +\end{itemize} +\begin{columns} + +\only<1>{ +\begin{column}{.72\textwidth} +\begin{block}{} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ +\only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}} +\end{block} +\end{column} +} + +\end{columns} + + +\only<1>{{ +{~} + +assuming $\PBminus$ phase space decay: + +$\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$ +}} + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame} +\frametitle{implications on Majorana mass} +\begin{exampleblock}{mass extraction} +Determine limit as function of $h^{+}\Pmuon$ mass +\end{exampleblock} +{\begin{center} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ + +{~} + +\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.2cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +\end{frame} + +\begin{frame} +\frametitle{new bounds for on shell Majorana neutrinos} +%LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$ + +%{~} + +%\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}} +\begin{columns} +\begin{column}{.4\textwidth} +LHCb limit on $|V_{\mu 4}|$ + +\includegraphics[width=.98\textwidth]{./constrain.pdf} + +{\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}} +\end{column} +\begin{column}{.55\textwidth} +Status of 2009 + +\includegraphics[width=.98\textwidth]{./vmu4mod} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\end{column} +\end{columns} +\end{frame} + + + + + +\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb +\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$} +\begin{columns}\begin{column}{.5\textwidth} +\includegraphics[width=\textwidth]{./B-Majorana3} +\end{column} +\end{columns} +\begin{itemize} +\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\myhref{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}} +%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$ +\item $m_4=m(\Ppiplus\Pmuon)$ +\item[+] enhanced by $\PW$ couplings +\item[-] smaller mass range accessible ($\unit{260}{\MeV}enhancement predicted in many New Physics models, e.g. +\end{itemize} +\end{column} + +\begin{column}{.55\textwidth} +\only<1>{ +Standard Model + neutrino oscillation + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + \begin{fmffile}{smlfv} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,100) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + \fmfipath{p[]} + + \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2} + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4} + \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + \fmfiset{p1}{vpath1(__g1,__g2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3} + \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\only<2>{ +extended Higgs + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + + + \begin{fmffile}{multihiggs} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\end{column} +\end{columns} +\only<2>{ +\begin{itemize} +\item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}} +\item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}} +\item low scale seesaw models\footnote{\invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.73.074011}{Phys.\ Rev.\ D \textbf{73}, 074011}}} +\end{itemize} +} +\end{frame} + +\begin{frame} +\frametitle{LFV in charm decays} +\begin{columns} +%\begin{column}{.5\textwidth} +%\begin{itemize} +%\item same analysis as LNV search +%\end{itemize} +%\includegraphics[width=\textwidth]{./babarLFV} +%\end{column} +%\begin{column}{.5\textwidth} +%\includegraphics[width=\textwidth]{./babarcharmtableLFV} +% +%{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}} +%\end{column} +\begin{column}{.93\textwidth} +\includegraphics[width=\textwidth]{./lfvhfag2} +\end{column} +\end{columns} +{~} + +\myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]} +\end{frame} + +%\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other +\subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$} +\begin{frame} +\frametitle{LFV in bottom decays} +\begin{center} + + \begin{fmffile}{multihiggs2} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(200,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1} + \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +\end{center} + +{~} + +\begin{itemize} +\item LFV $\Ptau$ sector not probed by $\PD$ decays +\item enough energy available in $\PB$ decays +\item multi Higgs models enhance $\PB\to h\Ptau\Pmu$ over other channels\footnote{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44} 1461}} +\item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$ +\end{itemize} +\end{frame} + + +\begin{frame} +\frametitle{LFV in bottom decays} +%\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}} +\begin{columns} +\begin{column}{.6\textwidth} +{\footnotesize{ +\begin{tabular}{lclr} +channel & limit & & \\\hline +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\% +$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$} +\end{tabular} + +}} +\end{column} +\begin{column}{.4\textwidth} +details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori} + +{~} + +\begin{block}{LFV energy scale} +\vspace{-.5cm} +\begin{align*} +\Lambda_{\APbottom\Pdown}:&\\ +\unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\ +\Lambda_{\APbottom\Pstrange}:&\\ +\unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV} +\end{align*} +\end{block} +%{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}} +% +% +\end{column} +\end{columns} +{~} + +{~} + +{\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}} + +{\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}} +\end{frame} + + + +%\section{other LFV probes from charm} % \tau\to\mu\mu\mu +%\begin{frame} +%\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$} +%\begin{exampleblock}{LFV in $\Ptau$ decays} +%\begin{itemize} +%\item dominated by B factories in $\APtauon\Ptauon$ production \newline +%see next talk by Francesco Renga +%\item also possible to probe with semileptonic $\Ptau$ production +%\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$ +%\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$ +%\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders +%\end{itemize} +%\end{exampleblock} +% +%\end{frame} + +\section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}} +\begin{frame} +\frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item in Standard Model + neutrino oscillation introduced in penguin diagrams +\item highly suppressed ($\mathcal{B}\ll 10^{-50}$) +\item enhanced by e.g. charged Higgs +\item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk}) +\item[!] also possible at hadron colliders +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +%\only<1>{ + \begin{fmffile}{smtau} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6} + \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{o1,g1} + \fmf{phantom,tension=1.5}{g1,i1} + + \fmffreeze + + \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2} + \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2} + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5} + \fmf{phantom,tension=1.5}{i6,g2} + + \fmffreeze + + + \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1} + \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2} + \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1} + + % \fmf{fermion}{i1,w1} + % \fmf{fermion}{w1,g1} + % \fmf{fermion,tension=2}{g1,w2} + % \fmf{fermion}{w2,o1} + + \fmfipath{p[]} + \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} + \fmffreeze + \fmfiset{p1}{vpath1(__w1,__w2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + % \fmfv{lab=g1}{g1} + % \fmfv{lab=g2}{g2} + % \fmfv{lab=w1}{w1} + % \fmfv{lab=w2}{w2} + + \end{fmfgraph*} + + %\caption{Test 4. is $\propto e^{0}$} + %\end{figure} + \end{fmffile} +%} + +{~} + + +{~} + +%\only<2>{ +\begin{fmffile}{chargedhiggs} +\begin{fmfgraph*}(170,80) + +\fmfstraight + +\fmfleft{i} +\fmfright{o1,o2,o3} +\fmf{phantom}{i,g,o2} +\fmffreeze +\fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g} +\fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h} +\fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g} +\fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2} +\fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3} + +\end{fmfgraph*} +\end{fmffile} +%} + + +\end{column} +\end{columns} + +\end{frame} + +\begin{frame}[t] +\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions} +\begin{columns} +\begin{column}{.45\textwidth} +\begin{exampleblock}{$\Ptau$ sources at B factories} +\begin{itemize} +\item $\APelectron\Pelectron\to\APtauon\Ptauon$ +\item allows $\tau$ tag +\end{itemize} +\end{exampleblock} +%\visible<2>{ +%\begin{block}{$\dagger$ cross section} +%\begin{itemize} +%\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)} +%\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013} +%\item branching fractions from PDG\newline (LEP \& B factories) +%\end{itemize} +%\end{block} +%} +\end{column} +\begin{column}{.45\textwidth} +\begin{alertblock}{$\Ptau$ sources at the LHC} +\begin{itemize} +\item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$ +\item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011 +\item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$) +\item[!] no $\tau$ tag possible +\item standard $\tau$ signatures very similar to $\PD$ decays +\newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$) +\end{itemize} +\end{alertblock} +\end{column} +\end{columns} +%\begin{exampleblock}{Normalisation channel} +%\begin{itemize} +%\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$ +%\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ +%\end{itemize} +%\end{exampleblock} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalisation with $\PDs$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +%\texttt{LHCb-CONF-2012-015} + +\only<1>{\begin{block}{Signal \& Calibration channel} +\includegraphics[width=.9\textwidth]{topos} +\end{block}} +\only<2>{\begin{alertblock}{Signal \& peaking background} +\includegraphics[width=.9\textwidth]{topob} +\end{alertblock}} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$} +\begin{block}{produced $\tau$ leptons} +\vspace{-.3cm} +\begin{align*} +%N_\tau = \frac{\sigma(pp\to\Ptau)}{\sigma(pp\to\PDs\to\Ptau)}\times \frac{\mathcal{B}(\PDs\to\Ptau\Pnut)}{\mathcal{B}(\PDs\to\Pphi\Ppi)\times\mathcal{B}(\Pphi\to\Pmu\Pmu)} \times N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi} +\mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)} \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}} +\end{align*} +\end{block} +\begin{columns} +\begin{column}{.48\textwidth} +\begin{exampleblock}{ingredients} +\begin{itemize} +\item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb +\item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories +\item $\Pmu\Pmu\Ppi$ final state +\item[$\rightarrow$] systematics cancel +\only<1>{ +\begin{itemize} +\item trigger +\item reconstruction +%\item kinematics +\item selection +\end{itemize} +} +\only<2>{\item non resonant contribution $<2\,\%$} +\end{itemize} +\end{exampleblock} +\end{column} +\begin{column}{.48\textwidth} +\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +\texttt{LHCb-CONF-2012-015} + +\only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs} + +$45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays +} +\only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi} + +{\footnotesize{background substracted $\APmuon\Pmuon$ mass}} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1a_geobinning3} +\end{column} +\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH information +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{invariant mass} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{two fold role} +\begin{itemize} +\item background estimation in sidebands +\item different signal likelihood inside signal region +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./masssim} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item mass resolution and mass scale calibrated on data +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass sidebands +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item \textcolor{red}{11\,\% signal efficiency} +\item \textcolor{blue}{21\,\% signal efficiency} +\item for illustration:\newline high likelihood range shown +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{observed events} +\begin{columns} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf} +\end{column} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.37\textwidth} +11\,\% of the signal + +0.03\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_1st} +\end{column} +\begin{column}{.37\textwidth} +21\,\% of the signal + +0.14\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_2nd} +\end{column} +\end{columns} +%\end{column} +%\begin{column}{.5\textwidth} +%%next four best bins +%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf} +%\begin{columns} +%\begin{column}{.9\textwidth} +%21\,\% of the signal +% +%0.14\,\% of the background +%\end{column} +%\begin{column}{.1\textwidth} +%\includegraphics[width=\textwidth]{./2d-data2_2nd} +%\end{column} +%\end{columns} +%\end{column} +%\end{columns} + +{~} + + +\begin{columns} +\begin{column}{.65\textwidth} +\begin{description} +\item[\textcolor{red}{red dashed}] combinatorial background +\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$ +\item[\textcolor{blue}{blue}] combined background +\end{description} +\end{column} + +\begin{column}{.35\textwidth} +\includegraphics[width=.26\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-}\texttt{2012-015} + +\end{column} +\end{columns} +%no excess observed + +\end{frame} + +\begin{frame} +\frametitle{extracted limit} +\begin{columns}\begin{column}{.8\textwidth} +\begin{block}{result (preliminary)} +\vspace{-.5cm} +\begin{align*} + & \text{observed} & \text{expected}\\ +\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\ + <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL +\end{align*} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + +\begin{itemize} +\item[Belle] $2.1 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://dx.doi.org/10.1016/j.physletb.2010.03.037}{Phys.\ Lett.\ B \textbf{687}, 139} (2010)}} +\item[BaBar] $3.3 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://link.aps.org/doi/10.1103/PhysRevD.81.111101}{Phys.\ Rev.\ D \textbf{81}, 111101(R)} (2010)}} +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\section*{Summary} +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item neither lepton number violation nor lepton flavour violation observed (yet) +\item hadron decays provide good probes for Lepton Number \& Flavour Violation +\item excellent sensitivity achieved at B factories +\begin{itemize} +\item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays +\end{itemize} +\item LHCb extends knowledge on forbidden $\PB$ decays +\begin{itemize} +\item LNV excluded to $10^{-6\dots -8}$ +\end{itemize} +\item LHCb approaching B factories for $\tau\to\mu\mu\mu$ +\item[$\Rightarrow$] first time done at hadron colliders +\end{itemize} +\end{frame} +\appendix +\begin{frame}[t] +\begin{columns} +\begin{column}{.3\textwidth} +{~} + +{~} + + +\huge{BACKUP} +\end{column} +\end{columns} +\end{frame} + +%\begin{frame} +%\frametitle{LFV in bottom decays} +%{\footnotesize{ +%\begin{tabular}{lclr} +%channel & limit & & \\\hline +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$} +%\end{tabular} +%}} +%\end{frame} +% +\begin{frame} +\frametitle{Sensitivity to long lived Majorana neutrinos} +\begin{itemize} +\item analysis allows for neutrino flight distance +\item probes only Majorana neutrinos decaying inside the detector +\item sensitivity to lifetime provided +\end{itemize} + +{\footnotesize{ +\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}} +a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) 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+\usetikzlibrary{shapes} +%\usetikzlibrary{positioning} +%\usetikzlibrary{patterns} +%\usetikzlibrary{fit} +%\usepackage{verbatim} + +\tikzstyle{decision} = [diamond, draw, fill=gray!20, + text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!10, + text width=5em, text centered, rounded corners, minimum height=2em] +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm, + minimum height=2em] + +\tikzstyle{every picture}+=[remember picture] + + +\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}} + + +\title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays} +\titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012 +%\newline + +\includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo} +%\end{center} +} +%\subtitle{T 60.1} + +% \subtitle{} +\author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}} +\institute[Heidelberg University]{Heidelberg University} +\date[FPCP 2012]{Flavour Physics and CP Violation 2012} +\subject{} + +% \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell} +% \pgfdeclareimage[width=1.2cm]{university-logo}{weak} +% \logo{\pgfuseimage{university-logo}} +% \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate} +% \usebackgroundtemplate{\pgfuseimage{hbild}} + +\newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}} +\begin{document} +\begin{frame} +\titlepage +\end{frame} + +\begin{frame} +\frametitle{Outline} +\tableofcontents +\end{frame} + +\begin{frame} +\begin{center} +{\Huge{Lepton Number Violation}} + +{~} + +\begin{itemize} +\item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +\end{itemize} + +\end{center} +\end{frame} +%\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other) +\section{Lepton Number Violation} +\begin{frame}{Lepton Number Violation} +\begin{columns} +\begin{column}{.75\textwidth} +\begin{itemize} +\item Lepton number is conserved in the Standard Model +\item Lepton number violation introduced in many New Physics models, e.\,g.: +{\footnotesize{ +\begin{itemize} +\item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}}) +\item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}}) +\item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)}) +\end{itemize} +}} +\item Majorana neutrinos violate Lepton Number\newline +classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk}) +\item Similar fundamental process with mesons +\end{itemize} +\end{column} +\begin{column}{.25\textwidth} +\includegraphics[width=\textwidth]{double} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.5\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\invisible<1>{ +\includegraphics[width=.85\textwidth]{./exclusion} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\begin{itemize} +\item strong constraints from $\PK$ decays at low $m_4$ +\item high mass region accessible in $\PD$ and $\PB$ decays +\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame}[t] +\frametitle{LNV in meson decays} +\begin{columns}\begin{column}{.4\textwidth} +{\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}} + +\includegraphics[width=\textwidth]{./D-Majorana} +{\footnotesize{\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize}}} +\end{column} +\begin{column}{.6\textwidth} +{\includegraphics[width=.85\textwidth]{./exclusion} + +Status of 2009 + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +%\begin{itemize} +%\item strong constraints from $\PK$ decays at low $m_4$ +%\item high mass region accessible in $\PD$ and $\PB$ decays +%\end{itemize} +} +\end{column} +\end{columns} +\end{frame} + + + +\subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$} +\begin{frame} +\frametitle{limits on LNV in charm decays} +\begin{columns} +{\begin{column}{.46\textwidth} +%{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}} +{\Large{charm decays}} +\begin{itemize} +\item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$ +%\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$ +%\item $\APelectron\Pelectron\to\PD\APD$ +\item includes Lepton Number and Flavour Violation +\item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays +\item<2> best limit for most channels +\end{itemize} +\only<1>{\includegraphics[width=.4\textwidth]{./babar}} +%\only<2>{ +%{~} +% +%\includegraphics[width=\textwidth]{./DLNVpeaks}} + + +%\only<2>{\begin{alertblock}{background sources} +%\begin{itemize} +%\item combinatorics +%\item QED events +%\item semileptonic decays +%\item $\Ppizero, \Pphi$ resonance +%\end{itemize} +%\end{alertblock}} +\end{column} +\begin{column}{.5\textwidth} +%\only<2>{ +%\begin{block}{Strategy} +%\begin{itemize} +%\item exclude semileptonic charm production +%\item[$\Rightarrow$] reject most combinatorics +%\item require 5 tracks and electron veto on hadron +%\item[$\Rightarrow$] rejects QED background +%\item vertex requirements reject semileptonic background +%\end{itemize} +%\end{block} +%\begin{exampleblock}{Normalisation} +%\begin{itemize} +%\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$ +%\item[$\Rightarrow$] most systematics cancel +%\item PID as remaining systematics +%\end{itemize} +%\end{exampleblock} +%} +\only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV} + +{\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}} +\only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}} +\end{column}} +\end{columns} +%\only<2>{ +%{~} +% +%{~} +% +%{\footnotesize{ +%$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}} +\end{frame} + + + +\subsection{qedewqdqewd} + +\begin{frame}%[t] +\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$} +\only<1>{ +\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$} +} +\only<2>{ +\begin{columns}\begin{column}{.5\textwidth} +on-shell neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf} +\end{column} +{\begin{column}{.45\textwidth} +virtual neutrino + +\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf} +\end{column} +} +\end{columns} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item resonant production in accessible mass range +\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$ +\newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}} +\item $m_4 = m_{\Plepton^{-},\Ppiplus}$ +\end{itemize} +\end{column} +{ +\begin{column}{.5\textwidth} +\begin{exampleblock}{special for $\PB$ decays} +%\begin{itemize} +diagram without mass restriction + Cabbibo favoured for $\PB\to\PD$ +%\end{itemize} +\end{exampleblock} +\end{column} +} +\end{columns} +} + +\end{frame} + + +\begin{frame}{search for Majorana neutrinos at LHCb} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{itemize} +\item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk} +\item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize} +%\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed +\item consider topology in reconstruction +\begin{itemize} +\item allow for flight distance for on-shell neutrinos +\item common vertex for virtual neutrinos +\end{itemize} +\end{itemize} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=2cm]{../lhcb-logo} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.42\textwidth} +\includegraphics[width=.7\textwidth]{reco} +\end{column} +\begin{column}{.52\textwidth} +\includegraphics[width=.7\textwidth]{reco2} +\end{column} +\end{columns} +\end{frame} + + + + +\begin{frame}[t] +\frametitle{virtual Majorana neutrinos} + +%\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +%\end{itemize} +\begin{columns} +\only<1>{ +\begin{column}{.78\textwidth} +\begin{block}{} +%\begin{itemize} + $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$ +%\end{itemize} +\includegraphics[width=\textwidth]{./MassFitDp_.pdf} +\end{block} +\end{column} +} + + +\end{columns} +\only<1>{{ +{~} + + +$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$ +}} + + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} + +{~} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame}[t] +\frametitle{on-shell Majorana neutrinos} + +\begin{itemize} +%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus +%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$ +\item mis-identification rates from data with mass shape from simulation +\end{itemize} +\begin{columns} + +\only<1>{ +\begin{column}{.72\textwidth} +\begin{block}{} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ +\only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}} +\end{block} +\end{column} +} + +\end{columns} + + +\only<1>{{ +{~} + +assuming $\PBminus$ phase space decay: + +$\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$ +}} + + {@ 95\,\% CL}\hspace{.35\textwidth} + {@ 95\,\% CL} +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.5cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +%LHCb, arXiv:1201.5600 +%\includegraphics[width=.5\textwidth]{UpperAll} +\end{frame} + + +\begin{frame} +\frametitle{implications on Majorana mass} +\begin{exampleblock}{mass extraction} +Determine limit as function of $h^{+}\Pmuon$ mass +\end{exampleblock} +{\begin{center} +$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$ + +{~} + +\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}} + +\begin{columns} +\begin{column}{6.5cm} +\end{column} +\begin{column}{1.2cm} +\includegraphics[width=\textwidth]{../lhcb-logo} +\end{column} +\begin{column}{4cm} +\hspace{.4cm} + +$\unit{0.41}{\reciprocal\femtobarn}$ + + {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}} + +\end{column} +\end{columns} + + +\end{frame} + +\begin{frame} +\frametitle{new bounds for on shell Majorana neutrinos} +%LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$ + +%{~} + +%\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}} +\begin{columns} +\begin{column}{.4\textwidth} +LHCb limit on $|V_{\mu 4}|$ + +\includegraphics[width=.98\textwidth]{./constrain.pdf} + +{\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}} +\end{column} +\begin{column}{.55\textwidth} +Status of 2009 + +\includegraphics[width=.98\textwidth]{./vmu4mod} + +{\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}} +\end{column} +\end{columns} +\end{frame} + + + + + +\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$} +%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb +\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$} +\begin{columns}\begin{column}{.5\textwidth} +\includegraphics[width=\textwidth]{./B-Majorana3} +\end{column} +\end{columns} +\begin{itemize} +\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\myhref{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}} +%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$ +\item $m_4=m(\Ppiplus\Pmuon)$ +\item[+] enhanced by $\PW$ couplings +\item[-] smaller mass range accessible ($\unit{260}{\MeV}enhancement predicted in many New Physics models, e.g. +\end{itemize} +\end{column} + +\begin{column}{.55\textwidth} +\only<1>{ +Standard Model + neutrino oscillation + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + \begin{fmffile}{smlfv} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,100) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + \fmfipath{p[]} + + \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2} + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4} + \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + \fmfiset{p1}{vpath1(__g1,__g2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3} + \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\only<2>{ +extended Higgs + +\begin{center} +${\PDplus\to\Ppiplus\Pmuon\APelectron}$ +\end{center} + + + + \begin{fmffile}{multihiggs} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1} + \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3} + \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3} + \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +} +\end{column} +\end{columns} +\only<2>{ +\begin{itemize} +\item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}} +\item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}} +\item low scale seesaw models\footnote{\invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.73.074011}{Phys.\ Rev.\ D \textbf{73}, 074011}}} +\end{itemize} +} +\end{frame} + +\begin{frame} +\frametitle{LFV in charm decays} +\begin{columns} +%\begin{column}{.5\textwidth} +%\begin{itemize} +%\item same analysis as LNV search +%\end{itemize} +%\includegraphics[width=\textwidth]{./babarLFV} +%\end{column} +%\begin{column}{.5\textwidth} +%\includegraphics[width=\textwidth]{./babarcharmtableLFV} +% +%{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}} +%\end{column} +\begin{column}{.93\textwidth} +\includegraphics[width=\textwidth]{./lfvhfag2} +\end{column} +\end{columns} +{~} + +\myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]} +\end{frame} + +%\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other +\subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$} +\begin{frame} +\frametitle{LFV in bottom decays} +\begin{center} + + \begin{fmffile}{multihiggs2} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(200,80) + %bottom and top verticies + \fmfstraight + \fmfleft{i2,i3,i4,i5} + \fmfright{o2,o3,o4,o5} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{i4,g1} + + + \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1} + \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3} + \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3} + \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2} + + + \fmffreeze + + %\fmf{fermion}{g2,o4} + %\fmf{fermion}{i3,g3,g4,o3} + %\fmf{fermion}{o2,i2} + + \fmffreeze + + \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5} + %\fmf{fermion}{g2,o4} + \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3} + +% \fmfipath{p[]} +% \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} +% \fmffreeze +% \fmfiset{p1}{vpath1(__w1,__w2)} +% \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + + + \end{fmfgraph*} + + \end{fmffile} +\end{center} + +{~} + +\begin{itemize} +\item LFV $\Ptau$ sector not probed by $\PD$ decays +\item enough energy available in $\PB$ decays +\item multi Higgs models enhance $\PB\to h\Ptau\Pmu$ over other channels\footnote{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44} 1461}} +\item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$ +\end{itemize} +\end{frame} + + +\begin{frame} +\frametitle{LFV in bottom decays} +%\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}} +\begin{columns} +\begin{column}{.6\textwidth} +{\footnotesize{ +\begin{tabular}{lclr} +channel & limit & & \\\hline +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\ +$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\% +$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$} +\end{tabular} + +}} +\end{column} +\begin{column}{.4\textwidth} +details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori} + +{~} + +\begin{block}{LFV energy scale} +\vspace{-.5cm} +\begin{align*} +\Lambda_{\APbottom\Pdown}:&\\ +\unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\ +\Lambda_{\APbottom\Pstrange}:&\\ +\unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV} +\end{align*} +\end{block} +%{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}} +% +% +\end{column} +\end{columns} +{~} + +{~} + +{\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}} + +{\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}} +\end{frame} + + + +%\section{other LFV probes from charm} % \tau\to\mu\mu\mu +%\begin{frame} +%\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$} +%\begin{exampleblock}{LFV in $\Ptau$ decays} +%\begin{itemize} +%\item dominated by B factories in $\APtauon\Ptauon$ production \newline +%see next talk by Francesco Renga +%\item also possible to probe with semileptonic $\Ptau$ production +%\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$ +%\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$ +%\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders +%\end{itemize} +%\end{exampleblock} +% +%\end{frame} + +\section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}} +\begin{frame} +\frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item in Standard Model + neutrino oscillation introduced in penguin diagrams +\item highly suppressed ($\mathcal{B}\ll 10^{-50}$) +\item enhanced by e.g. charged Higgs +\item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk}) +\item[!] also possible at hadron colliders +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +%\only<1>{ + \begin{fmffile}{smtau} + %\begin{figure} + %\begin{fmffile}{peng} +\begin{fmfgraph*}(170,80) + %bottom and top verticies + \fmfstraight + \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6} + \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6} + + %\fmf{fermion,lab.side=left,label=$d$}{i0,o0} + + \fmf{phantom}{o1,g1} + \fmf{phantom,tension=1.5}{g1,i1} + + \fmffreeze + + \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2} + \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2} + \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5} + \fmf{phantom,tension=1.5}{i6,g2} + + \fmffreeze + + + \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1} + \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2} + \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1} + + % \fmf{fermion}{i1,w1} + % \fmf{fermion}{w1,g1} + % \fmf{fermion,tension=2}{g1,w2} + % \fmf{fermion}{w2,o1} + + \fmfipath{p[]} + \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2} + \fmffreeze + \fmfiset{p1}{vpath1(__w1,__w2)} + \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1} + + % \fmfv{lab=g1}{g1} + % \fmfv{lab=g2}{g2} + % \fmfv{lab=w1}{w1} + % \fmfv{lab=w2}{w2} + + \end{fmfgraph*} + + %\caption{Test 4. is $\propto e^{0}$} + %\end{figure} + \end{fmffile} +%} + +{~} + + +{~} + +%\only<2>{ +\begin{fmffile}{chargedhiggs} +\begin{fmfgraph*}(170,80) + +\fmfstraight + +\fmfleft{i} +\fmfright{o1,o2,o3} +\fmf{phantom}{i,g,o2} +\fmffreeze +\fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g} +\fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h} +\fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g} +\fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2} +\fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3} + +\end{fmfgraph*} +\end{fmffile} +%} + + +\end{column} +\end{columns} + +\end{frame} + +\begin{frame}[t] +\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions} +\begin{columns} +\begin{column}{.45\textwidth} +\begin{exampleblock}{$\Ptau$ sources at B factories} +\begin{itemize} +\item $\APelectron\Pelectron\to\APtauon\Ptauon$ +\item allows $\tau$ tag +\end{itemize} +\end{exampleblock} +%\visible<2>{ +%\begin{block}{$\dagger$ cross section} +%\begin{itemize} +%\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)} +%\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013} +%\item branching fractions from PDG\newline (LEP \& B factories) +%\end{itemize} +%\end{block} +%} +\end{column} +\begin{column}{.45\textwidth} +\begin{alertblock}{$\Ptau$ sources at the LHC} +\begin{itemize} +\item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$ +\item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011 +\item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$) +\item[!] no $\tau$ tag possible +\item standard $\tau$ signatures very similar to $\PD$ decays +\newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$) +\end{itemize} +\end{alertblock} +\end{column} +\end{columns} +%\begin{exampleblock}{Normalisation channel} +%\begin{itemize} +%\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$ +%\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ +%\end{itemize} +%\end{exampleblock} +\end{frame} + +\begin{frame} +\frametitle{Strategy} +\begin{columns} +\begin{column}{.5\textwidth} +\begin{itemize} +\item Loose cut based selection +\item Classification in 3D space: +\begin{itemize} +\item invariant mass +\item decay topology\newline (multivariate) +\item particle identification\newline (multivariate) +\end{itemize} +\item Classifier trained on simulation +\item Calibration with control channel +\item Normalisation with $\PDs$ +\item CLs method to extract the result +\end{itemize} +\end{column} +\begin{column}{.5\textwidth} +\hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +%\texttt{LHCb-CONF-2012-015} + +\only<1>{\begin{block}{Signal \& Calibration channel} +\includegraphics[width=.9\textwidth]{topos} +\end{block}} +\only<2>{\begin{alertblock}{Signal \& peaking background} +\includegraphics[width=.9\textwidth]{topob} +\end{alertblock}} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$} +\begin{block}{produced $\tau$ leptons} +\vspace{-.3cm} +\begin{align*} +%N_\tau = \frac{\sigma(pp\to\Ptau)}{\sigma(pp\to\PDs\to\Ptau)}\times \frac{\mathcal{B}(\PDs\to\Ptau\Pnut)}{\mathcal{B}(\PDs\to\Pphi\Ppi)\times\mathcal{B}(\Pphi\to\Pmu\Pmu)} \times N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi} +\mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)} \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}} +\end{align*} +\end{block} +\begin{columns} +\begin{column}{.48\textwidth} +\begin{exampleblock}{ingredients} +\begin{itemize} +\item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb +\item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories +\item $\Pmu\Pmu\Ppi$ final state +\item[$\rightarrow$] systematics cancel +\only<1>{ +\begin{itemize} +\item trigger +\item reconstruction +%\item kinematics +\item selection +\end{itemize} +} +\only<2>{\item non resonant contribution $<2\,\%$} +\end{itemize} +\end{exampleblock} +\end{column} +\begin{column}{.48\textwidth} +\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em} +\texttt{LHCb-CONF-2012-015} + +\only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs} + +$45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays +} +\only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi} + +{\footnotesize{background substracted $\APmuon\Pmuon$ mass}} +} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.48\textwidth} + +\begin{block}{3 body decay likelihood} +\begin{itemize} +\item vertex properties +\begin{itemize} +\item vertex fit, pointing +\end{itemize} +\item track quality +\item isolation +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PDs\to\Pphi\Ppi$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1a_geobinning3} +\end{column} +\begin{column}{.48\textwidth} +\begin{block}{particle identification} +\begin{itemize} +\item hits in muon chambers +\item energy in calorimeters +\begin{itemize} +\item compatible with MIP +\end{itemize} +\item RICH information +\end{itemize} +\end{block} +\begin{exampleblock}{Calibration} +$\PJpsi\to\APmuon\Pmuon$ +\end{exampleblock} +\includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3} +\end{column} +\end{columns} +\end{frame} + +\begin{frame} +\frametitle{invariant mass} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{two fold role} +\begin{itemize} +\item background estimation in sidebands +\item different signal likelihood inside signal region +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./masssim} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item mass resolution and mass scale calibrated on data +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\begin{frame} +\frametitle{signal likelihoods} +\begin{columns} +\begin{column}{.8\textwidth} +\begin{block}{combined signal distribution} +\begin{itemize} +\item events distributed over 25 likelihood bins +\item background estimate from mass sidebands +\end{itemize} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}} +\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}} +\end{column} +\begin{column}{.35\textwidth} +\begin{itemize} +\item \textcolor{red}{11\,\% signal efficiency} +\item \textcolor{blue}{21\,\% signal efficiency} +\item for illustration:\newline high likelihood range shown +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + + +\begin{frame} +\frametitle{observed events} +\begin{columns} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf} +\end{column} +\begin{column}{.5\textwidth} +%four best bins + +\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf} +\end{column} + +\end{columns} +\begin{columns} +\begin{column}{.37\textwidth} +11\,\% of the signal + +0.03\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_1st} +\end{column} +\begin{column}{.37\textwidth} +21\,\% of the signal + +0.14\,\% of the background +\end{column} +\begin{column}{.13\textwidth} +\includegraphics[width=\textwidth]{./2d-data2_2nd} +\end{column} +\end{columns} +%\end{column} +%\begin{column}{.5\textwidth} +%%next four best bins +%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf} +%\begin{columns} +%\begin{column}{.9\textwidth} +%21\,\% of the signal +% +%0.14\,\% of the background +%\end{column} +%\begin{column}{.1\textwidth} +%\includegraphics[width=\textwidth]{./2d-data2_2nd} +%\end{column} +%\end{columns} +%\end{column} +%\end{columns} + +{~} + + +\begin{columns} +\begin{column}{.65\textwidth} +\begin{description} +\item[\textcolor{red}{red dashed}] combinatorial background +\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$ +\item[\textcolor{blue}{blue}] combined background +\end{description} +\end{column} + +\begin{column}{.35\textwidth} +\includegraphics[width=.26\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-}\texttt{2012-015} + +\end{column} +\end{columns} +%no excess observed + +\end{frame} + +\begin{frame} +\frametitle{extracted limit} +\begin{columns}\begin{column}{.8\textwidth} +\begin{block}{result (preliminary)} +\vspace{-.5cm} +\begin{align*} + & \text{observed} & \text{expected}\\ +\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\ + <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL +\end{align*} +\end{block} +\end{column} +\begin{column}{.2\textwidth} +\includegraphics[width=.46\textwidth]{../lhcb-logo} +\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ + +\texttt{LHCb-CONF-} \texttt{2012-015} +\end{column} +\end{columns} +\begin{columns} +\begin{column}{.65\textwidth} +\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf} +\end{column} +\begin{column}{.04\textwidth} + +\end{column} +\begin{column}{.35\textwidth} + +\begin{itemize} +\item[Belle] $2.1 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://dx.doi.org/10.1016/j.physletb.2010.03.037}{Phys.\ Lett.\ B \textbf{687}, 139} (2010)}} +\item[BaBar] $3.3 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://link.aps.org/doi/10.1103/PhysRevD.81.111101}{Phys.\ Rev.\ D \textbf{81}, 111101(R)} (2010)}} +\end{itemize} +\end{column} +\end{columns} + +\end{frame} + +\section*{Summary} +\begin{frame} +\frametitle{Summary} +\begin{itemize} +\item neither lepton number violation nor lepton flavour violation observed (yet) +\item hadron decays provide good probes for Lepton Number \& Flavour Violation +\item excellent sensitivity achieved at B factories +\begin{itemize} +\item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays +\end{itemize} +\item LHCb extends knowledge on forbidden $\PB$ decays +\begin{itemize} +\item LNV excluded to $10^{-6\dots -8}$ +\end{itemize} +\item LHCb approaching B factories for $\tau\to\mu\mu\mu$ +\item[$\Rightarrow$] first time done at hadron colliders +\end{itemize} +\end{frame} +\appendix +\begin{frame}[t] +\begin{columns} +\begin{column}{.3\textwidth} +{~} + +{~} + + +\huge{BACKUP} +\end{column} +\end{columns} +\end{frame} + +%\begin{frame} +%\frametitle{LFV in bottom decays} +%{\footnotesize{ +%\begin{tabular}{lclr} +%channel & limit & & \\\hline +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\ +%$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\ +%$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$} +%\end{tabular} +%}} +%\end{frame} +% +\begin{frame} +\frametitle{Sensitivity to long lived Majorana neutrinos} +\begin{itemize} +\item analysis allows for neutrino flight distance +\item probes only Majorana neutrinos decaying inside the detector +\item sensitivity to lifetime provided +\end{itemize} + +{\footnotesize{ +\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}} +a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\ +$\unit{250}{\MeV} + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + B + µ + π + N + + + - + + + + + µ 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29.88785 lineto stroke +newpath 137.74428 26.95331 moveto +148.69621 29.88785 lineto +137.74428 32.82239 lineto + closepath fill +showpage +%%EOF diff --git a/HQL_2014/Rare_decays/smtau.log b/HQL_2014/Rare_decays/smtau.log new file mode 100644 index 0000000..6faa66d --- /dev/null +++ b/HQL_2014/Rare_decays/smtau.log @@ -0,0 +1,13 @@ +This is MetaPost, version 1.504 (kpathsea version 6.1.0dev) 16 MAY 2012 17:07 +**smtau +(mpost.mp (/usr/share/texlive/texmf-dist/metapost/base/plain.mp +Preloading the plain mem file, version 1.004)) (./smtau.mp +(/usr/share/texmf/metapost/feynmf/feynmp.mp) [1] ) + +Here is how much of MetaPost's memory you used: + 454 strings using 6813 characters + 824136 bytes of node memory + 917 symbolic tokens + 14i,71n,28p,103b,3f stack positions out of 16i,84n,32p,200b,4f +1 output file written: smtau.1 + diff --git a/HQL_2014/Rare_decays/smtau.mp b/HQL_2014/Rare_decays/smtau.mp new file mode 100644 index 0000000..fddcb5d --- /dev/null +++ b/HQL_2014/Rare_decays/smtau.mp @@ -0,0 +1,35 @@ +% smtau.mp -- do not edit, generated automatically by pseyfert.tex +input feynmp +require_RCS_revision "1.30"; +beginchar(1, 170*1.0pt#, 80*1.0pt#, 0); +"feynmf: 1"; +LaTeX_unitlength:=1.0pt; +subgraph (0, 0, w, h); +vinit; +pickup pencircle scaled thin; +straight_galleries; +vleft (__is3, __is2, __is1, __i1, __i2, __i3, __i4, __i5, __i6); +vright (__os3, __os2, __os1, __o1, __o2, __o3, __o4, __o5, __o6); +vconnect ("phantom", __o1, __g1); +vconnect ("phantom,tension=1.5", __g1, __i1); +vfreeze; +vconnect ("photon, tension=2.,lab.side=left, lab=$\Pphoton /\PZ $", __g1, __g2); +vconnect ("fermion,lab.side=left,label=$\APmuon $", __o3, __g2); +vconnect ("fermion,lab.side=left,label=$\Pmuon $", __g2, __o5); +vconnect ("phantom,tension=1.5", __i6, __g2); +vfreeze; +vconnect ("fermion,lab.side=left,label=$\Pgtm $", __i1, __w1); +vconnect ("dashes,lab.side=right,label=$\PWminus $", __w1, __w2); +vconnect ("fermion,lab.side=right,label=$\Pmuon $", __w2, __o1); +path p[]; +vconnect ("plain,tension=0,right,label={$\Pgngt \to \Pgngm $},tag=1", __w1, __w2); +vfreeze; +p1:=vpath1(__w1,__w2); +ivertex ("d.sh=cross,d.ang=0,d.size=5thick", point length(p1)/2 of p1); +vfreeze; +vdraw; +endsubgraph; +endchar; +% the end. +end. +endinput; diff --git a/HQL_2014/Rare_decays/smtau.t1 b/HQL_2014/Rare_decays/smtau.t1 new file mode 100644 index 0000000..fc01330 --- /dev/null +++ b/HQL_2014/Rare_decays/smtau.t1 @@ -0,0 +1,8 @@ +% smtau.t1 -- generated from smtau.mp +\fmfL(28.33336,36,b){$\Pgtm $}% +\fmfL(127.94641,46.28162,t){$\APmuon $}% +\fmfL(72.48555,45.88972,rb){$\Pphoton /\PZ $}% +\fmfL(127.18025,68.1724,b){$\Pmuon $}% +\fmfL(85.00002,24,t){$\PWminus $}% +\fmfL(85.00002,-4.33333,t){{$\Pgngt \to \Pgngm $}}% +\fmfL(141.66667,24,t){$\Pmuon $}% diff --git a/HQL_2014/Rare_decays/tau23mu.png b/HQL_2014/Rare_decays/tau23mu.png new file mode 100644 index 0000000..fb7a0e2 --- /dev/null +++ b/HQL_2014/Rare_decays/tau23mu.png Binary files differ diff --git a/HQL_2014/Rare_decays/topob.pdf b/HQL_2014/Rare_decays/topob.pdf new file mode 100644 index 0000000..3c52be1 --- /dev/null +++ b/HQL_2014/Rare_decays/topob.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/topob2.png b/HQL_2014/Rare_decays/topob2.png new file mode 100644 index 0000000..4b5d5cd --- /dev/null +++ b/HQL_2014/Rare_decays/topob2.png Binary files differ diff --git a/HQL_2014/Rare_decays/topos.pdf b/HQL_2014/Rare_decays/topos.pdf new file mode 100644 index 0000000..da0f6fa --- /dev/null +++ b/HQL_2014/Rare_decays/topos.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/topos.svg b/HQL_2014/Rare_decays/topos.svg new file mode 100644 index 0000000..807d435 --- /dev/null +++ b/HQL_2014/Rare_decays/topos.svg @@ -0,0 +1,243 @@ + + + + + + + + + + + + image/svg+xml + + + + + + + + D + s + τ + ν + τ + + D + s + µ + µ + µ + µ + µ + π + + φ + + diff --git a/HQL_2014/Rare_decays/uzh.jpg b/HQL_2014/Rare_decays/uzh.jpg new file mode 100644 index 0000000..ba6a5bc --- /dev/null +++ b/HQL_2014/Rare_decays/uzh.jpg Binary files differ diff --git a/HQL_2014/Rare_decays/vmu4.pdf b/HQL_2014/Rare_decays/vmu4.pdf new file mode 100644 index 0000000..d72b796 --- /dev/null +++ b/HQL_2014/Rare_decays/vmu4.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/vmu4.svg b/HQL_2014/Rare_decays/vmu4.svg new file mode 100644 index 0000000..6f5fc23 --- /dev/null +++ b/HQL_2014/Rare_decays/vmu4.svg @@ -0,0 +1,1699 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/HQL_2014/Rare_decays/vmu4mod.pdf b/HQL_2014/Rare_decays/vmu4mod.pdf new file mode 100644 index 0000000..936a432 --- /dev/null +++ b/HQL_2014/Rare_decays/vmu4mod.pdf Binary files differ diff --git a/HQL_2014/Rare_decays/vmu4mod.svg b/HQL_2014/Rare_decays/vmu4mod.svg new file mode 100644 index 0000000..341ad6b --- /dev/null +++ b/HQL_2014/Rare_decays/vmu4mod.svg @@ -0,0 +1,724 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + overlaid by speaker + B → πμμ + + +