diff --git a/KPS_2017/Makefile b/KPS_2017/Makefile new file mode 100644 index 0000000..e4cf8e8 --- /dev/null +++ b/KPS_2017/Makefile @@ -0,0 +1,9 @@ +all: mchrzasz.pdf + +mchrzasz.pdf: mchrzasz.tex + xelatex mchrzasz.tex +# bibtex mchrzasz + xelatex mchrzasz.tex +# xelatex mchrzasz.tex +clean: + rm *.aux *.bbl *.blg *.log *.out *.pdf *.sh *.xml *.snm *.toc *.nav diff --git a/KPS_2017/beamercolorthemeFlip.sty b/KPS_2017/beamercolorthemeFlip.sty new file mode 100755 index 0000000..d6b9c50 --- /dev/null +++ b/KPS_2017/beamercolorthemeFlip.sty @@ -0,0 +1,179 @@ +% Color style file for the BEAMER FLIP THEME +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. + + + +\mode +\newif\ifbeamer@Flip@dark +\beamer@Flip@darkfalse +\DeclareOptionBeamer{dark}{\beamer@Flip@darktrue} +\ProcessOptionsBeamer + + +% These are a few colors that I like. + +\definecolor{crimsonred}{RGB}{153,0,0} % Neurtal red, good for dark or light bg +\definecolor{darkcharcoal}{RGB}{25,25,25} % Darker gray +\definecolor{charcoal}{RGB}{51,51,51} % Darker gray +\definecolor{ash}{RGB}{100,100,100} % medium gray +\definecolor{paleblue}{RGB}{0,102,102} % More of an `ocean' color +\definecolor{turtlegreen}{RGB}{51,153,0} % A more neutral green +\definecolor{paleale}{RGB}{204,204,102} % Only for dark BG +\definecolor{lager}{RGB}{140,110,10} % Use instead of pale ale for white BG +\definecolor{regal}{RGB}{90,0,120} % A more neutral purple +\definecolor{jeans}{RGB}{20,30,150} % A more neutral blue + + +% Define some "invariant colors" so that a color that doen't work with a +% light/dark background will automatically be substituted with one that does. +% These will be rewritten in beamercolorthemeFlipDark + +\ifbeamer@Flip@dark + \definecolor{FlipSand}{RGB}{204,204,102} % paleale, Only for dark BG + \definecolor{FlipGreen}{RGB}{0,255,0} % Neon-like green, only for dark BG +\else + \definecolor{FlipSand}{RGB}{140,110,10} % lager, Only for light BG + \definecolor{FlipGreen}{RGB}{51,153,0} % turtlegreen, works for both +\fi + +%% Future revision: It would be nice to define these in terms of the palette. + + +\ifbeamer@Flip@dark + \setbeamercolor{normal text}{fg=white, bg=black} + \setbeamercolor{structure}{fg=gray, bg=black} % fg controls bullets + \setbeamercolor*{footerlike}{fg=white,bg=black} % Controls the footerline +\else + % Default to black on white + \setbeamercolor*{footerlike}{fg=white,bg=charcoal} % for charcoal footer + \setbeamercolor{structure}{fg=charcoal, bg=white} % fg controls bullets + % \setbeamercolor{normal text}{fg=white, bg=black} +\fi + + + + + +% These defined colors can be used in \textcolor{colorname}{text in that color}. + +% Colors for Keynote background: DARK +\definecolor{keynotebottom}{rgb}{0.32,0.3,0.38} +\definecolor{keynotemiddle}{rgb}{0.08,0.08,0.16} +\definecolor{keynotetop}{rgb}{0,0,0} +%%% Example of usage: +%% \setbeamertemplate{background canvas}[vertical shading] +%% [bottom=keynotebottom, middle=keynotemiddle, top=keynotetop] + + + + +% ALERT AND COMMENT COLORS (just copies of the above colors) +% (I don't know how ot do this more elegantly) +\ifbeamer@Flip@dark + \definecolor{ALERT}{RGB}{153,0,0} % crimsonred + \definecolor{Alert}{RGB}{51,153,0} % turtlegreen + \definecolor{alert}{RGB}{204,204,102} % paleale + \definecolor{charcoal}{RGB}{51,51,51} % charcoal + \definecolor{comment}{RGB}{80,80,80} % light charcoal + \definecolor{Comment}{RGB}{100,100,100} % ash + \definecolor{COMMENT}{RGB}{80,20,120} % regal +\else +% \definecolor{ALERT}{RGB}{153,0,0} % crimsonred + \definecolor{ALERT}{RGB}{28,134,238} % DodgerBlue2 +% \definecolor{Alert}{RGB}{51,153,0} % turtlegreen + \definecolor{Alert}{RGB}{255,127,36} % chocolate1 +% \definecolor{alert}{RGB}{140,110,10} % lager + \definecolor{alert}{RGB}{0,205,102} % SpringGreen3 + \definecolor{charcoal}{RGB}{80,80,80} % light charcoal + \definecolor{comment}{RGB}{51,51,51} % charcoal + \definecolor{Comment}{RGB}{100,100,100} % ash + \definecolor{COMMENT}{RGB}{80,20,120} % regal +\fi + + +% \definecolor{crimsonred}{RGB}{153,0,0} % Neurtal red, good for dark or light bg +% \definecolor{charcoal}{RGB}{51,51,51} % Darker gray +% \definecolor{ash}{RGB}{100,100,100} % medium gray +% \definecolor{paleblue}{RGB}{0,102,102} % More of an `ocean' color +% \definecolor{turtlegreen}{RGB}{51,153,0} % A more neutral green +% \definecolor{paleale}{RGB}{204,204,102} % Only for dark BG +% \definecolor{lager}{RGB}{140,110,10} % Use instead of pale ale for white BG +% \definecolor{regal}{RGB}{90,0,120} % A more neutral purple +% \definecolor{jeans}{RGB}{20,30,150} % A more neutral blue + + +% A few useful colors +\setbeamercolor{alerted text}{fg=alert} + +%% I would like ot use these colors, but there seems to be a bug in Beamer +%% where the footnote color infects the normal text color +%% See: http://tex.stackexchange.com/questions/8264/beamer-changing-the-footnote-color-also-changes-the-normal-text-color/8268#8268 + +% \setbeamercolor{footnote}{parent=normal text, fg=FlipSand} +% \setbeamercolor{footnote mark}{parent=normal text, fg=FlipSand} + +% Blocks +\setbeamercolor{block title}{fg=gray!30!white,bg=charcoal} +\setbeamercolor{block body}{parent=normal text,bg=gray, fg=white} + +\setbeamercolor{block title example}{fg=turtlegreen!30!white,bg=turtlegreen!40!black} +\setbeamercolor{block body example}{parent=normal text,bg=turtlegreen, fg=white} +% +\setbeamercolor{block title alerted}{fg=crimsonred!30!white,bg=crimsonred!40!black} +\setbeamercolor{block body alerted}{parent=normal text,bg=crimsonred, fg=white} + + + +% These "setbeamercolor" commands are more standardized. + + +%% From the Beamer User Guide: +% Outer themes base the color of navigational elements and, possibly, also of other elements, on the +% four palette colors. The “primary” palette should be used for the most important navigational elements, +% which are usually the ones that change most often and hence require the most attention by the audience. +% The “secondary” and “tertiary” are less important, the “quaternary” one is least important. +% By default, the palette colors do not have a background and the foreground ranges from structure.fg to black. +% For the sidebar, there is an extra set of palette colors, see palette sidebar primary. + +\setbeamercolor*{palette primary}{fg=crimsonred,bg=charcoal} +\setbeamercolor*{palette secondary}{fg=paleale,bg=lager} +\setbeamercolor*{palette tertiary}{fg=turtlegreen,bg=jeans} +\setbeamercolor*{palette quaternary}{fg=paleblue,bg=regal} + +% \setbeamercolor*{palette primary}{fg=crimsonred,bg=white} +% \setbeamercolor*{palette secondary}{fg=charcoal,bg=white} +% \setbeamercolor*{palette tertiary}{fg=paleblue,bg=white} +% \setbeamercolor*{palette quaternary}{fg=turtlegreen,bg=white} + + + +%% These are some structures that I define for use in the outer theme. + +\setbeamercolor*{crimsontown}{fg=paleblue,bg=crimsonred} +\setbeamercolor*{bluetown}{fg=white,bg=DodgerBlue2} +%\setbeamercolor*{titlelike}{fg=crimsonred} +\setbeamercolor*{titlelike}{fg=DodgerBlue2} +\setbeamercolor*{topbarlike}{fg=white, bg=charcoal} + + + + + +%% Some old definitions that I might want to get back to +% +% \setbeamercolor*{frametitle}{bg=white,fg=charcoal} +% \setbeamercolor*{part title}{bg=white,fg=charcoal} +% \setbeamercolor*{item}{fg=charcoal, bg=white} +% +% \setbeamercolor*{separation line}{} +% \setbeamercolor*{fine separation line}{} + + + + + +\mode + diff --git a/KPS_2017/beamerinnerthemeFlip.sty b/KPS_2017/beamerinnerthemeFlip.sty new file mode 100755 index 0000000..9910f4d --- /dev/null +++ b/KPS_2017/beamerinnerthemeFlip.sty @@ -0,0 +1,95 @@ +% Inner style file for the BEAMER FLIP THEME +% Copyright 2010 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Based on: beamerinnerthemeFlip by Marco Barisione + +\mode + +% % Use alternative title page style. +% \DeclareOptionBeamer{alternativetitlepage}[true]{\def\beamer@Flip@alternativetitlepage{#1}} + +% Logo to use in the alternative title page. +% \def\beamer@Flip@titlepagelogo{} +% \DeclareOptionBeamer{titlepagelogo}{\def\beamer@Flip@titlepagelogo{#1}} + +% Bullet shape. +\DeclareOptionBeamer{bullet}{\def\beamer@Flip@bullet{#1}} +\DeclareOptionBeamer{shadow}[true]{\def\beamer@themerounded@shadow{#1}} +\ExecuteOptionsBeamer{shadow=false} + + +% \ExecuteOptionsBeamer{alternativetitlepage=false,bullet=square} +\ProcessOptionsBeamer + + + +% Margins. +\newlength{\beamer@Flip@normalmargin} +\setlength{\beamer@Flip@normalmargin}{.06\paperwidth} +\setbeamersize{text margin left=\beamer@Flip@normalmargin} +\setbeamersize{text margin right=\beamer@Flip@normalmargin} +\setlength\leftmargini{.6\beamer@Flip@normalmargin} +\setlength\leftmarginii{.6\beamer@Flip@normalmargin} +\setlength\leftmarginiii{.6\beamer@Flip@normalmargin} + +% Normal title page. +\defbeamertemplate*{title page normal}{Flip theme}[1][] +{ + \vbox{} + \vfill + \begin{centering} + \begin{beamercolorbox}[wd=\paperwidth,sep=8pt,center,#1]{title page header} + \usebeamerfont{title}\inserttitle\par% + \ifx\insertsubtitle\@empty% + \else% + \vskip0.25em% + {\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}% + \fi% + \end{beamercolorbox}% + \vskip1em\par + \begin{beamercolorbox}[sep=8pt,center,#1]{author} + \usebeamerfont{author}\insertauthor + \end{beamercolorbox} + \begin{beamercolorbox}[sep=8pt,center,#1]{institute} + \usebeamerfont{institute}\insertinstitute + \end{beamercolorbox} + \begin{beamercolorbox}[sep=8pt,center,#1]{date} + \usebeamerfont{date}\insertdate + \end{beamercolorbox}\vskip0.5em + {\usebeamercolor[fg]{titlegraphic}\inserttitlegraphic\par} + \end{centering} + \vfill +} + + +% Items. +\defbeamertemplate{itemize item}{squarealt}% +{\tiny\raise.5ex\hbox{\donotcoloroutermaths$\blacksquare$}} +\defbeamertemplate{itemize subitem}{squarealt}% +{\tiny\raise.4ex\hbox{\donotcoloroutermaths$\square$}} +\defbeamertemplate{itemize subsubitem}{squarealt}% +{\tiny\raise.3ex\hbox{\donotcoloroutermaths$\blacksquare$}} +% +\defbeamertemplate{itemize item}{circlealt}% +{\small\raise.2ex\hbox{\donotcoloroutermaths$\bullet$}} +\defbeamertemplate{itemize subitem}{circlealt}% +{\small\raise.1ex\hbox{\donotcoloroutermaths$\circ$}} +\defbeamertemplate{itemize subsubitem}{circlealt}% +{\scriptsize\raise.1ex\hbox{\donotcoloroutermaths$\bullet$}} +\setbeamertemplate{items}[circlealt] +% +\def\circletext{circle} +\ifx\beamer@Flip@bullet\circletext + \setbeamertemplate{items}[circlealt] +\else + \setbeamertemplate{items}[squarealt] +\fi + +\setbeamertemplate{blocks}[rounded][shadow=\beamer@themerounded@shadow] + + +\mode + diff --git a/KPS_2017/beamerouterthemeFlip.sty b/KPS_2017/beamerouterthemeFlip.sty new file mode 100755 index 0000000..d12f6d6 --- /dev/null +++ b/KPS_2017/beamerouterthemeFlip.sty @@ -0,0 +1,189 @@ +% Outer style file for the BEAMER FLIP THEME 212 +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Based on: beamerouterthemesplit by Till Tantau + + +\mode + +% Watermark +\DeclareOptionBeamer{watermark}{\def\beamer@Flip@watermark{#1}} +\ExecuteOptionsBeamer{watermark=} % Default value is empty + + +\newif\ifbeamer@Flip@bigpagenumber +\beamer@Flip@bigpagenumberfalse +\DeclareOptionBeamer{bigpagenumber}{\beamer@Flip@bigpagenumbertrue} + + +\def\beamer@Flip@truetext{true} % Kludge for true/false so I can use ifx + +\DeclareOptionBeamer{topline}[true]{\def\beamer@Flip@topline{#1}} +\ExecuteOptionsBeamer{topline=false} % Default + + + +% \ExecuteOptionsBeamer{topline=} % Default value is empty + + +\ProcessOptionsBeamer + + +\usepackage{tikz} % For fancy decorations + + +% I should fix these up to be more robust against color changes +\setbeamercolor{section in head/foot}{parent=footerlike} +\setbeamercolor{subsection in head/foot}{parent=footerlike} +\setbeamercolor{author in head/foot}{parent=footerlike} +\setbeamercolor{title in head/foot}{parent=footerlike} + + +% \setbeamercolor{author in head/foot}{parent=section in head/foot} +% \setbeamercolor{title in head/foot}{parent=subsection in head/foot} + +%\setbeamercolor{topbar}{parent=crimsontown} +\setbeamercolor{topbar}{parent=bluetown} + + + + +\usesectionheadtemplate + {\hfill\insertsectionhead} + {\hfill\color{fg!50!bg}\insertsectionhead} + + +%%%%%%%%%%%%%%%%%% +% The footer bar % +%%%%%%%%%%%%%%%%%% + +\defbeamertemplate*{footline}{Flip theme} +{% + \leavevmode% +% OBSERVATION: the "%" symbols inside hbox are all very important here. +% The \hbox enviroment will insert spaces whenever there's whitespace +% Adding a % at the END of each line ensures that any hard returns aren't +% interpreted as white space. This allows the color boxes to be flush against +% one another. If a faint white line appears one could probably do something like +% hspace{-1px} and add an additional pixel-or-two wide beamercolorbox. + +\hbox{% +\begin{beamercolorbox}[wd=.4\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm, rightskip=.3cm plus1fil]{author in head/foot}% + \usebeamerfont{author in head/foot}\insertshortauthor \end{beamercolorbox}% +% +\begin{beamercolorbox}[wd=.6\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}% + \usebeamerfont{title in head/foot}{\textit \insertshorttitle}% + \hskip2ex plus1fill% + % \insertpagenumber\,/\,\insertpresentationendpage %% Want FRAME, not SLIDE number + \insertframenumber/\inserttotalframenumber + \end{beamercolorbox}% +}% + +% This is a complete kludge for the faint white line which appears +% between the beamer color boxes above. (It doesnt appear in presentation mode +% but sometimes looks funny when the pdfs are viewed in a window) +\begin{tikzpicture}[overlay] + \usebeamercolor[bg]{author in head/foot} + \draw[thick] (0,3.625ex) -- (\paperwidth,3.625ex); + \draw (.4\paperwidth,0) -- (.4\paperwidth,3.625ex); + \draw[thick] (0,0) -- (\paperwidth,0); +\end{tikzpicture} + + + +\ifbeamer@Flip@bigpagenumber + \begin{tikzpicture}[overlay] + \usebeamercolor[bg]{author in head/foot} + \draw[fill] (\paperwidth-5ex,3.625ex) circle (6ex); + \usebeamercolor[fg]{author in head/foot} + \draw[fill] (\paperwidth-5ex,3.625ex) circle (5ex); + \usebeamercolor[bg]{author in head/foot} + \node at (\paperwidth-5ex,4ex) {\small$^\text{\insertframenumber}/_\text{\inserttotalframenumber}$}; + \end{tikzpicture} +\fi +} + + + +\defbeamertemplate*{frametitle}{Flip theme}[1][left] +{ +% \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% +\@tempdima=\textwidth% +\advance\@tempdima by\beamer@leftmargin% +\advance\@tempdima by\beamer@rightmargin% + +\vbox{}\vskip-3.5ex% +% +\begin{beamercolorbox}[sep=0.3cm,#1,wd=\the\@tempdima]{titlelike} + \usebeamerfont{frametitle}% + \vbox{}\vskip-1ex% + \if@tempswa\else\csname beamer@fte#1\endcsname\fi% + % \strut{\bf\insertframetitle}\strut\par% %% Include the \bf + \strut{\insertframetitle}\strut\par% + {% + \ifx\insertframesubtitle\@empty% + \else + {\usebeamerfont{framesubtitle} + \usebeamercolor[fg]{framesubtitle} + \insertframesubtitle\strut\par}% + \fi + }% + % + \vskip-1ex% + \if@tempswa\else\vskip-.3cm\fi% set inside beamercolorbox... evil here... +\end{beamercolorbox}% +%% + +% \def\beamer@fteright{\vskip0.35cm\advance\leftskip by 1.7cm\advance\rightskip by1.7cm} +} + + + + +% Sidebar right is important: anything placed here will be +% visible *behind* the main text. This is where to put any +% interesting watermarks. +% +% +\defbeamertemplate*{sidebar right}{Flip theme} +{ +% \llap{\includegraphics[width=50px]{footdecoration}} +% \llap{\includegraphics[width=\paperwidth,height=\paperheight]{upperleft_watermark_transp}} +% +% THIS WOULD BE A NICE WAY TO PUT THE PARTICLE BUBBLE CHAMBER BG +% ... make a png of the background with TRANSPARENT BG +% ... then put the image here (use \hfill to get it on the left) +% Now one can FURTHER apply a slight gradient in the BG +% +% +% % Top Line +\ifx\beamer@Flip@topline\beamer@Flip@truetext + \begin{tikzpicture}[overlay] + \usebeamercolor[fg]{titlelike} % alternately, topbarlike would be a good beamercolor +% \usebeamercolor[fg]{topbarlike} % alternately, topbarlike would be a good beamercolor + \draw[fill] (-\paperwidth,0) rectangle (0,-3pt); + \end{tikzpicture} +\fi +% +% + \vskip.2\beamer@leftmargin% + %\llap{\insertlogo\hskip.5\beamer@leftmargin}% + \llap{\insertlogo\hskip.08\beamer@leftmargin}% + \vfill% + \if \beamer@Flip@watermark\@empty + % This is kind of a kludge since if I put anything in here, I automatically get errors + % Somehow LaTeX wants to read the \else part! + \else% + \llap{\includegraphics[width=\paperwidth,height=\paperheight]{\beamer@Flip@watermark}} + \fi +} + + + +\mode +\endinput + + diff --git a/KPS_2017/beamerouterthemedecolines.sty b/KPS_2017/beamerouterthemedecolines.sty new file mode 100755 index 0000000..669e493 --- /dev/null +++ b/KPS_2017/beamerouterthemedecolines.sty @@ -0,0 +1,168 @@ +% Copyright 2007 by Marco Barisione +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. + +\mode + +% String used between the current page and the total page count. +\def\beamer@decolines@pageofpages{/} +\DeclareOptionBeamer{pageofpages}{\def\beamer@decolines@pageofpages{#1}} + +% Show a line below the frame title. +\DeclareOptionBeamer{titleline}[true]{\def\beamer@decolines@titleline{#1}} + +% Image used for the watermark. +\def\beamer@decolines@watermarkorig{} +\DeclareOptionBeamer{watermark}{\def\beamer@decolines@watermarkorig{#1}} + +% Height of the watermark. +\def\beamer@decolines@watermarkheight{100px} +\DeclareOptionBeamer{watermarkheight}{\def\beamer@decolines@watermarkheight{#1}} + +% The original image height is watermarkheightmult * watermarkheight. +\def\beamer@decolines@watermarkheightmult{1} +\DeclareOptionBeamer{watermarkheightmult}{\def\beamer@decolines@watermarkheightmult{#1}} + +\ExecuteOptionsBeamer{titleline=false} +\ProcessOptionsBeamer + +% Enable/disable the watermark. +\def\watermarkon{% + \def\beamer@decolines@watermark{\beamer@decolines@watermarkorig}% +} +\def\watermarkoff{\def\beamer@decolines@watermark{}} + +% Initially enable the watermark. +\watermarkon + +% Colors. +\setbeamercolor*{lineup}{parent=palette primary} +\setbeamercolor*{linemid}{parent=palette secondary} +\setbeamercolor*{linebottom}{parent=palette tertiary} +\setbeamercolor*{page header}{parent=titlelike} + +% Lengths +\newlength{\headerheight} +\setlength{\headerheight}{.045\paperheight} +\newlength{\beamer@decolines@lineup} +\setlength{\beamer@decolines@lineup}{.025\paperheight} +\newlength{\beamer@decolines@linemid} +\setlength{\beamer@decolines@linemid}{.015\paperheight} +\newlength{\beamer@decolines@linebottom} +\setlength{\beamer@decolines@linebottom}{.01\paperheight} + +% The height of the watermark part below the 3 bottom lines. +\newlength{\beamer@decolines@watermarkheightbottom} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@lineup} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linemid} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linebottom} + +% The height of the watermark part over the 3 bottom lines before shrinking. +\newlength{\beamer@decolines@watermarkheightupperorig} +\setlength{\beamer@decolines@watermarkheightupperorig}{\beamer@decolines@watermarkheight} +\addtolength{\beamer@decolines@watermarkheightupperorig}{-\beamer@decolines@watermarkheightbottom} +\multiply\beamer@decolines@watermarkheightupperorig by \beamer@decolines@watermarkheightmult + +% % Footer. +% \defbeamertemplate*{footline}{decolines theme} +% { +% \leavevmode% +% % Page number. +% \hbox{% +% \begin{beamercolorbox}[wd=.2\paperwidth,ht=0ex,dp=0ex,center]{}% +% \usebeamerfont{palette primary}\insertframenumber{} \beamer@decolines@pageofpages{} \inserttotalframenumber% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.8\paperwidth,ht=0ex,dp=0ex]{}% +% \end{beamercolorbox}% +% } % +% % First line. +% \hbox{% +% \begin{beamercolorbox}[wd=.2\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{}% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.8\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{lineup}% +% \end{beamercolorbox}% +% } % +% % Second line. +% \hbox{% +% \begin{beamercolorbox}[wd=\paperwidth,ht=\beamer@decolines@linemid,dp=0pt]{linemid}% +% \end{beamercolorbox}% +% } % +% % Third line. +% \hbox{% +% \begin{beamercolorbox}[wd=.1\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{}% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.9\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{linebottom}% +% \end{beamercolorbox}% +% }% +% % This seems to fix some alignment problems with the watermark. It has to be +% % always applied if you do not want to see the footer moving up and down when +% % moving from a page with watermark to a page without or vice versa. +% \vskip-.5px% +% % Watermark. +% \if\beamer@decolines@watermark\@empty\else% +% \vskip-\beamer@decolines@watermarkheightbottom% +% \llap{\includegraphics[height=\beamer@decolines@watermarkheightbottom,clip=true,% +% trim=0pt 0pt 0pt \beamer@decolines@watermarkheightupperorig]{\beamer@decolines@watermark}\hskip-\paperwidth}% +% \fi% +% } + +\defbeamertemplate*{headline}{decolines theme} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=\paperwidth,ht=\headerheight,dp=0pt]{page header}% + \end{beamercolorbox}% + } % + \vskip0pt% +} + +\defbeamertemplate*{frametitle}{decolines theme}[1][left] +{ + \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% + \@tempdima=\textwidth% + \advance\@tempdima by\beamer@leftmargin% + \advance\@tempdima by\beamer@rightmargin% + \vbox{}\vskip-.5\beamer@leftmargin% + \begin{beamercolorbox}[sep=\beamer@leftmargin,#1,wd=\the\@tempdima]{} + \usebeamerfont{frametitle}\usebeamercolor[bg]{framesubtitle}% + \vbox{}\vskip0ex% + \if@tempswa\else\csname beamer@fte#1\endcsname\fi% + \strut\insertframetitle\strut\par% + {% + \ifx\insertframesubtitle\@empty% + \else% + {\usebeamerfont{framesubtitle}\usebeamercolor[bg]{framesubtitle}\insertframesubtitle\strut\par}% + \fi + }% + \vskip-1ex% + \if@tempswa\else\vskip-\beamer@leftmargin\fi + \end{beamercolorbox}% + \def\beamer@decolines@truetext{true}% + \ifx\beamer@decolines@titleline\beamer@decolines@truetext% + \vskip-.5\beamer@leftmargin% + \begin{beamercolorbox}[wd=\textwidth,ht=.1ex,dp=0ex]{linemid}% + \end{beamercolorbox}% + \fi +} + +% Frame title continuations, default +\defbeamertemplate*{frametitle continuation}{decolines theme}{(\insertcontinuationcount)} + + + +\defbeamertemplate*{sidebar right}{decolines theme} +{ + \vskip.1\beamer@leftmargin% + \llap{\insertlogo\hskip.5\beamer@leftmargin}% + \vfill% + \if\beamer@decolines@watermark\@empty\else% + \llap{\includegraphics[height=\beamer@decolines@watermarkheight]{\beamer@decolines@watermark}}% + \vskip-\beamer@decolines@watermarkheightbottom% + \fi +} + +\mode + diff --git a/KPS_2017/beamerthemeFlip.sty b/KPS_2017/beamerthemeFlip.sty new file mode 100755 index 0000000..a615ff5 --- /dev/null +++ b/KPS_2017/beamerthemeFlip.sty @@ -0,0 +1,59 @@ +% Main style file for the BEAMER FLIP THEME 2012 +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Comments: This is still a work in progress. +% A good way to present: http://www.cs.hmc.edu/~oneill/freesoftware/pdftokeynote.html + +% \usepackage{beamerthemesplit} +\mode + + +%% These are the options that are fed in through the driver file +%% Some of them get passed on to the other theme files +\DeclareOptionBeamer{bullet}{\PassOptionsToPackage{bullet=#1}{beamerinnerthemeFlip}} +\DeclareOptionBeamer{bigpagenumber}{\PassOptionsToPackage{bigpagenumber}{beamerouterthemeFlip}} +\DeclareOptionBeamer{topline}[true]{\PassOptionsToPackage{topline=#1}{beamerouterthemeFlip}} +\DeclareOptionBeamer{shadow}[false]{\PassOptionsToPackage{shadow=#1}{beamerinnerthemeFlip}} + +\DeclareOptionBeamer{watermark}{\PassOptionsToPackage{watermark=#1}{beamerouterthemeFlip}} + +\ProcessOptionsBeamer + +\useinnertheme{Flip} % Calls beamerinnerthemeFlip.sty +\useoutertheme{Flip} % Calls beamerouterthemeFlip.sty +\usecolortheme{Flip} % Calls beamercolorthemeFlip.sty + + + +%%%%%%%%%%%%%%%%%%%%%%%% +% Background Gradient % +%%%%%%%%%%%%%%%%%%%%%%%% + + +%% Usually I would leave this on +%% However, there seems to be problems with XeLaTeX +%% http://tex.stackexchange.com/questions/29497/xelatex-preventing-beamer-from-using-different-backgrounds +\setbeamertemplate{background canvas}[vertical shading][bottom=blue!.1, middle=white, top=white] + +%% HOWEVER: it seems to make it impossible to change this later on in the document + + +%% For a dark background: +% \setbeamertemplate{background canvas}[vertical shading][bottom=keynotebottom, middle=keynotemiddle, top=keynotetop] + + +%% An alternate way: \beamertemplateshadingbackground{blue!.1}{red!2} +%% In general: you want the gradient to be subtle! + + +%%%%%%%%%%%%%%%%%%%%%%% +% Navigation symbols % +%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{navigation symbols}{} % Turns off PDF navigation symbols + +\mode +\endinput \ No newline at end of file diff --git a/KPS_2017/images/.DS_Store b/KPS_2017/images/.DS_Store new file mode 100644 index 0000000..5008ddf --- /dev/null +++ b/KPS_2017/images/.DS_Store Binary files differ diff --git a/KPS_2017/images/1050px-Lhcbview.jpg b/KPS_2017/images/1050px-Lhcbview.jpg new file mode 100644 index 0000000..803f9ce --- /dev/null +++ b/KPS_2017/images/1050px-Lhcbview.jpg Binary files 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+\def\ba{\begin{eqnarray}} +\def\ea{\end{eqnarray}} +\def\d{\partial} +\def\l{\left(} +\def\r{\right)} +\def\la{\langle} +\def\ra{\rangle} +\def\e{{\rm e}} +\def\Br{{\rm Br}} + +\def\ARROW{{\color{JungleGreen}{$\Rrightarrow$}}\xspace} + +\newcommand\textref[1]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{{\color{RoyalBlue} \emph{#1}}}\hspace{1.5em} + \end{textblock*}} + +\newcommand\textahref[2]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{\emph{\href{#1}{#2} }}\hspace{1.5em} + \end{textblock*}} + + +\author{ {Marcin Chrzaszcz} (Universit\"{a}t Z\"{u}rich, IFJ PAN)} +\institute{UZH, IFJ PAN} +\title[Quark flavour anomalies of the SM]{Quark flavour anomalies of the SM} +\date{25 September 2014} + + +\begin{document} +\tikzstyle{every picture}+=[remember picture] + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +{ +\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}} +\begin{frame}[c]%{\phantom{title page}} +\begin{center} +\begin{center} + \begin{columns} + \begin{column}{0.75\textwidth} + \flushright\bfseries \LARGE {Quark flavour\\ anomalies of the SM} + \end{column} + \begin{column}{0.02\textwidth} + {~} + \end{column} + \begin{column}{0.23\textwidth} + % \hspace*{-1.cm} + \vspace*{-3mm} + \includegraphics[width=0.6\textwidth]{lhcb-logo} + \end{column} + + \end{columns} +\end{center} + \quad + \vspace{3em} +\begin{columns} +\begin{column}{0.44\textwidth} +\flushright \vspace{-1.8em} { \Large Marcin Chrzaszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}} + +\end{column} +\begin{column}{0.53\textwidth} +\includegraphics[height=1.3cm]{uzh-transp}{~}{~} +\includegraphics[height=1.1cm]{ifj.png} +\end{column} +\end{columns} + +\vspace{1em} + \footnotesize\textcolor{gray}{\\ Universit\"{a}t Z\"{u}rich, \\ Institute of Nuclear Physics, Polish Academy of Science}\normalsize\\ +\vspace{0.5em} + + \textcolor{normal text.fg!50!Comment}{Korean Physics Society Meeting,\\ 19 April 2017} +\end{center} +\end{frame} +} + + + + +\iffalse + +\begin{frame}{Outline} + + \begin{minipage}{\textwidth} + +\begin{enumerate} +\item Why flavour is important. +\item $\Pbeauty \to \Pstrange \ell \ell$ theory in a nutshell. +\item LHCb measurements of $\Pbeauty \to \Pstrange \ell \ell$. +\item Global fit to $\Pbeauty \to \Pstrange \ell \ell$ measurements. +\item Conclusions. +\end{enumerate} + + +\end{minipage} + \vspace*{2.cm} +\end{frame} + +\fi + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Why electroweak penguin decays?} +\begin{columns} +\column{4in} +\begin{itemize} +\item In the SM allows only the charged interactions to change flavour. +\begin{itemize} +\item Other interactions are flavour conserving. +\end{itemize} +\item One can escape this constrain and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. +\begin{itemize} +\item This kind of processes are suppressed in the SM $\to$~Rare decays. +\item New Physics can enter in the loops. +\end{itemize} +\end{itemize} +\begin{center} +\includegraphics[scale=0.3]{images/lupa.png} +\includegraphics[scale=0.3]{images/example.png} +\end{center} +\column{1.5in} +\includegraphics[width=0.61\textwidth]{images/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{1.2in} +\begin{small} +\begin{align*} +H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\prime \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*} +\end{small} +\column{1.8in} +\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} +where $C_i$ are the Wilson coefficients and $O_i$ are the corresponding effective operators. +\begin{center} +\includegraphics[width=0.85\textwidth,height=3cm]{images/all.png} + +\end{center} + + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\only<1>{\frametitle{LHCb detector - tracking} + +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/sketch.png} +\end{columns} +\begin{itemize} +\item Excellent Impact Parameter (IP) resolution ($20~\rm \mu m$).\\ +$\Rightarrow$ Identify secondary vertices from heavy flavour decays +\item Proper time resolution $\sim~40-50~\rm fs$.\\ +$\Rightarrow$ Good separation of primary and secondary vertices. +\item Excellent momentum ($\delta p/p \sim 0.5 - 1.0\%$) and inv. mass resolution.\\ +$\Rightarrow$ Low combinatorial background. + +\end{itemize} + +} + +\only<2>{\frametitle{LHCb detector - PID} + +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/cher.png} +\end{columns} +\begin{itemize} +\item Excellent Muon identification $\epsilon_{\mu \to \mu} \sim 97\%$, $\epsilon_{\pi \to \mu} \sim 1-3\%$ +\item Good $\PK-\Ppi$ separation via RICH detectors, $\epsilon_{\PK \to \PK} \sim 95\%$, $\epsilon_{\Ppi \to \PK} \sim 5\%$.\\ +$\Rightarrow$ Reject peaking backgrounds. +\item High trigger efficiencies, low momentum thresholds.\\ +%Muons: $p_T > 1.76 \GeV/c$ at L0, $p_T > 1.0 \GeV/c$ at HLT1,\\ +$B \to \PJpsi X $: Trigger $\sim 90\%$. + +\end{itemize} + + +} + +\textref{Int. J. Mod. Phys. A30 (2015) 1530022} +\vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Recent measurements of $\Pbeauty \to \Pstrange \Plepton \Plepton$} +{~} +\only<1>{ + + \begin{minipage}{\textwidth} + + +\begin{columns} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~} \textt{\begin{tiny}1606.04731\end{tiny} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [$\PBs \to \Pphi \Pmuon \APmuon$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [$\PB \to\Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}Nature 15\end{tiny}} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} +\begin{description} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} +\end{description} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} +\begin{description} +\item [$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$] {~}{~}\begin{tiny}PRL 113, (2014)\end{tiny} +\end{description} + + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} +\begin{description} +\item [$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 02 (2016) 104\end{tiny} +\item [$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$] \begin{tiny}PRD 86 032012\end{tiny} +\item [$\PBs \to \Pphi \Pmu \Pmu$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\end{description} + + + + + +\end{columns} + +\end{minipage} +} +\only<2>{ + + \begin{minipage}{\textwidth} + + +\begin{columns} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} +\begin{description} +\item [{\color{red}{$\PB \to \PK \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}1606.04731\end{tiny}}} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [{\color{red}{$\PBs \to \Pphi \Pmuon \APmuon$}}] {~}{~}{~}{\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [{\color{red}{$\PB \to\Pmuon \APmuon$}}] {~}{~}{~}{~}{~}{\color{red}{\begin{tiny}Nature 15\end{tiny}}} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} +\begin{description} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} +\end{description} + + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} +\begin{description} +\item [{\color{red}{$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$}}] {~}{~}{\color{red}{\begin{tiny}PRL 113, (2014)\end{tiny}}} +\end{description} + + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} +\begin{description} +\item [{\color{red}{$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$}}] {~}{~}{~}\begin{tiny}PRD 86 032012\end{tiny} +\item [{\color{red}{$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$}}] {\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PBs \to \Pphi \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [{\color{red}{$\PLambdab \to \PLambda \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}JHEP 06 (2015) 115\end{tiny}}} +\end{description} + +\begin{alertblock}{} +$>2~\sigma$ deviations from the SM + +\end{alertblock} + +\end{columns} + +{~}\\ + +\ARROW This talk is not possible to cover all flavour anomalies. See T.Blake talk tmr for more of them! + + +\end{minipage} +} + +\vspace*{2.1cm} +\end{frame} + +\iffalse + + +\fi + + +\begin{frame}{Observables in $\PB \to \PKstar \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + +\ARROW The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$.\\ +\ARROW The angular distribution can be written as: + +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} +\ARROW This equation is valid in the SM for massless leptons! + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{S_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the soft form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft form factors at leading order: +\eq{P_5^{\prime} = \dfrac{S_5+\bar{S}_5}{2\sqrt{F_L (1-F_L)}}\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +% symmetries + +\iffalse +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +{~} +\begin{minipage}{\textwidth} +\begin{columns} + +\column{0.55\textwidth} +\begin{itemize} +\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to reject background. +\item Reject the regions of $\PJpsi$ and $\Ppsi(2S)$. +\item Specific vetos for backgrounds: $\PLambdab \to \Pproton \PK \Pmu \Pmu$, $\PBs \to \Pphi \Pmu \Pmu$, etc. +\item Using k-Fold technique and signal proxy $\PB \to \PJpsi \PKstar$ for training the BDT. +\item Improved selection allowed for finer binning than the $1\invfb$ analysis. +\end{itemize} + + +\column{0.45\textwidth} + +\includegraphics[angle=-90,width=0.88\textwidth]{images/Fig1.pdf} \\ +\includegraphics[width=0.88\textwidth]{images/fold.png} + +\end{columns} + + + +\end{minipage} + \textref{JHEP 02 (2016) 104} +\vspace*{2.1cm} +\end{frame} + +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item Signal modelled by a sum of two Crystal-Ball functions. +\item Shape is defined using $\PB \to \PJpsi \PKstar$ and corrected for $q^2$ dependency. +\item Combinatorial background modelled by exponent. +\end{itemize} + +\begin{columns} +\column{0.5\textwidth} +\begin{itemize} +\item $\PK \Ppi$ system: +\begin{itemize} +\item Beside the $\PKstar$ resonance there might might a tail from other higher mass states. +\item We modelled it in the analysis. +\item Reduced the systematic compared to previous analysis. +\end{itemize} +\end{itemize} + +\column{0.5\textwidth} + +\includegraphics[width=0.88\textwidth]{images/pbkg} + +\end{columns} + +\begin{large} +\begin{itemize} +\item In total we found $2398\pm57$ candidates in the $(0.1,19)~\GeV^2/c^4$ $q^2$ region. +\item $624 \pm 30$ candidates in the theoretically the most interesting $(1.1-6.0)~\GeV^2/c^4$ region. +\end{itemize} +\end{large} + + + + +\end{minipage} + \textref{JHEP 02 (2016) 104} + +\vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Detector acceptance} +{~} +\begin{minipage}{\textwidth} +\begin{columns} + +\column{0.6\textwidth} +\begin{itemize} +\item Detector distorts our angular distribution. +\item We need to model this effect. +\item Full 4D function is used: +\begin{align*} +\epsilon (\cos \thetal, \cos \thetak, \phi, q^2) = \\\sum_{ijkl} c_{ijkl} P_i(\cos \thetal) P_j(\cos \thetak ) P_k(\phi) P_l(q^2), +\end{align*} +where $P_i$ is the Legendre polynomial of order $i$. +\item We use up to $4^{th}, 5^{th}, 6^{th}, 5^{th}$ order for the $\cos \thetal, \cos \thetak, \phi, q^2$. +\item $600$ terms in total! +\end{itemize} + + + + +\column{0.4\textwidth} +\includegraphics[width=0.99\textwidth]{images/det.png} +\end{columns} + + +\end{minipage} + \textref{JHEP 02 (2016) 104} + +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Control channel} +{~} +\begin{minipage}{\textwidth} + + +\begin{itemize} +\item We tested our unfolding procedure on $\PB \to \PJpsi \PKstar$. +\item The result is in perfect agreement with other experiments and our different analysis of this decay. +\end{itemize} + +\begin{columns} + +\column{0.5\textwidth} + +\includegraphics[width=0.95\textwidth]{images/mlogjpsi.png} +\column{0.5\textwidth} +\includegraphics[width=0.95\textwidth]{images/mkpijpsi.png} + +\end{columns} + + +\begin{columns} + +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/costhetakjpsi.png} +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/costhetaljpsi.png} +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/phijpsi.png} + +\end{columns} + +%\includegraphics[width=0.99\textwidth]{images/angles2.png} + + + +\end{minipage} +\textref{JHEP 02 (2016) 104} +\vspace*{2.1cm} +\end{frame} +\iffalse +\begin{frame}{Method of moments} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item Use orthogonality of spherical harmonics, $f_j(\cos \thetal, \cos \thetak, \phi)$: +\begin{equation*} +\int f_i(\cos \thetal, \cos \thetak, \phi) \cdot f_j(\cos \thetal, \cos \thetak, \phi) = \delta_{ij} +\end{equation*} +\begin{equation*} +M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) +\end{equation*} +\item Don’t have true angular distribution but we ''sample'' it with our data. +\item Therefore: $\int \rightarrow \sum$ and $M_i \rightarrow \widehat{M}_i$ + +%\begin{equation*} +%M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) +%\end{equation*} +\item Acceptance corrections is included by: +\begin{equation*} +\widehat{M}_i = \dfrac{1}{\sum_e w_e} \sum w_e f_i(\cos \thetal, \cos \thetak, \phi) +\end{equation*} +\item The weight $w_e$ accounts for the efficiency from previous slide. + + +\end{itemize} + +\end{minipage} + \textref{Phys. Rev. D 91, 114012 (2015)} + +\vspace*{2.1cm} +\end{frame} + +\fi +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_FLPad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S3Pad.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S4Pad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S5Pad.pdf} +\end{columns} +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_AFBPad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S7Pad.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S8Pad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S9Pad.pdf} +\end{columns} +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} +{~} + + \begin{minipage}{\textwidth} + \begin{center} + \includegraphics[angle=-90,width=0.65\textwidth]{images/compare_P5pPad.pdf}\\ + \end{center} + +\begin{itemize} +\item Tension gets confirmed! +\item The two bins deviate by $2.8$~and~$3.0~\sigma$ from the SM prediction. +\item Result compatible with previous result. +\end{itemize} + + +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + + + + +\iffalse +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{BF measurements of $\PB \to \PKstar^{0,\pm} \Pmu \Pmu$} +{~} +\includegraphics[angle=-90,width=0.5\textwidth]{images/ksmumu_BF.pdf} +\includegraphics[angle=-90,width=0.5\textwidth]{images/kmumu_BF.pdf} + +\begin{center} +\begin{columns} + +\column{0.5\textwidth} +\begin{itemize} +\item Despite large theoretical errors the results are consistently smaller than the SM prediction. +%\item \href{http://dx.doi.org/10.1007/JHEP06(2014)133}{{\color{blue}{JHEP 06 (2014) 133}}} +\end{itemize} +\column{0.5\textwidth} +\includegraphics[angle=-90,width=0.850\textwidth]{images/bukst_BF.pdf} + + +\end{columns} + + +\end{center} +\textref{JHEP 06 (2014) 133} +\vspace*{2.1cm} +\end{frame} +\fi +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{BF measurements of $\PBs \to \Pphi \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + \begin{center} + \includegraphics[height=4cm]{images/bs2phipi.png} + \includegraphics[height=4cm]{images/BsSel.png} + \end{center} + +\begin{itemize} + +\item Suppressed by $\frac{f_s}{f_d}$. +\item Cleaner because of narrow $\Pphi$ resonance. +\item $3.3~\sigma$ deviation in the SM in the $1-6\GeV^2/c^4$ bin. +\item Angular part in agreement with the SM ($S_5$ is not accessible). +\end{itemize} + + +\end{minipage} +\textref{JHEP09 (2015) 179} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Measurements of $\PLambdab \to \PLambda \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + + \includegraphics[width=0.32\textwidth]{images/Lb_BR.png} \includegraphics[width=0.32\textwidth]{images/Lblow.png} +\includegraphics[width=0.32\textwidth]{images/Lbhigh.png} + +\begin{small} +\begin{itemize} +\item In total $\sim 300$ candidates in data set. +\item Decay not present in the low $q^2$. +\item For the bins in which we have $>3~\sigma$ significance the forward backward asymmetry is measured for the hadronic and leptonic system. +\end{itemize} +\end{small} +\vspace{-0.5cm} +\begin{center} +\includegraphics[width=0.7\textwidth]{{images/AFB_Lb}.png} +\end{center} +\begin{itemize} +\item $A_{FB}^H$ is in good agreement with the SM. +\item $A_{FB}^{\ell}$ always in above the SM prediction. +\end{itemize} +\end{minipage} +\textref{JHEP 06 (2015) 115} +\vspace*{2.1cm} +\end{frame} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Lepton universality test} +{~} +\begin{minipage}{\textwidth} +\begin{columns} +\column{3.0in} + +\begin{itemize} + + +%\includegraphics[width=0.99\textwidth]{images/uni2.png} +\item Challenging analysis due to bremsstrahlung. +\item Migration of events modeled by MC. +\item Correct for bremsstrahlung. +\item Take double ratio with $\PBplus \to \PJpsi \PKplus$ to cancel systematics. +\item In $3\invfb$, LHCb measures $R_K=0.745^{+0.090}_{-0.074}(stat.)^{+0.036}_{-0.036}(syst.)$ +\item Consistent with the SM at $2.6\sigma$. + +\end{itemize} +\column{2.0in} +\includegraphics[width=1.05\textwidth]{images/uni2.png} \\ + +\includegraphics[width=0.99\textwidth]{images/RK.png}\\ +%\includegraphics[width=0.99\textwidth]{{images/rk_}.png}\\ +\end{columns} +\includegraphics[width=0.85\textwidth]{{images/rk_}.png}\\ + + + +\end{minipage} +\textref{Phys. Rev. Lett. 113, 151601 (2014)} +\vspace*{2.1cm} +\end{frame} + + +\iffalse + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Theory implications} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. +\item Took into the fit: +\begin{itemize} +\item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, {\color{blue}{ Misiak et. al. PRL 114, 221801 (2015)}} + +\item $\mathcal{B} ( \PB \to\Pmu \Pmu)$, theory: {\color{blue}{ Bobeth PRD 89, (2014)}}, experiment: LHCb+CMS average (2015) +\item $\mathcal{B} ( \PB \to X_s \Pmu \Pmu$), {\color{blue}{ Huber et al Nucl Phys B802, 2008}} +\item $\mathcal{B} ( \PB \to \PK \Pmu \Pmu$), {\color{blue}{ Bouchard et al JHEP11 (2011) 122}} +\item $\PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$,{\color{blue}{ Horgan et al PRL 112, (2014)}} +\item $\PB \to \PK \Pe \Pe$, $\PB \to \PKstar \Pe \Pe$ and $R_k$. +\end{itemize} +%\item Overall there is $>4~\sigma$ discrepancy wrt. SM. +\end{itemize} + + + + + +\end{minipage} +\textref{JHEP 06 (2016) 092} +\vspace*{2.1cm} +\end{frame} + + +\fi +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Theory implications} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. +\item The data can be explained by modifying the $C_9$ Wilson coefficient. +\item Overall there is $>4~\sigma$ discrepancy wrt. the SM prediction. +\end{itemize} +\includegraphics[width=0.9\textwidth]{images/C9.png} + + + + +\end{minipage} +\textref{JHEP 06 (2016) 092} +\vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{If not NP?} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item We are not there yet! +\item There might be something not taken into account in the theory. +\item Resonances ($\PJpsi$, $\Ppsi(2S)$) tails can mimic NP effects. +\item There might be some non factorizable QCD corrections.\\ +'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv:1503.06199}}} +. +\end{itemize} +\only<1>{ +\includegraphics[width=0.6\textwidth]{images/charmloop.png} + +} +\only<2>{ +\begin{center} +\includegraphics[width=0.6\textwidth]{images/charmloop2.png} +\end{center} +} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{There is more!} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item There is one other Lepton Universality Violation decay recently measured by LHCb. +\item $R(\PDstar)=\dfrac{\mathcal{B}(\PB \to \PDstar \Ptau \Pnu)}{\mathcal{B}(\PB \to \PDstar \Pmu \Pnu)}$ +\item Clean SM prediction: $R(\PDstar)=0.252(3)$, {\color{blue}{PRD 85 094025 (2012)}} +\item LHCb result: $R(\PDstar)= 0.336 \pm 0.027 \pm 0.030$ +\item HFAG average: $R(\PDstar)=0.322 \pm 0.022$ +\item $4.0~\sigma$ discrepancy wrt. SM. +\end{itemize} + +\begin{center} + +\includegraphics[width=0.4\textwidth]{images/RDstar.png} + +\end{center} +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Conclusions} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item Clear tensions wrt. SM predictions! +\item Measurements cluster in the same direction. +\item We are not opening the champagne yet! +\item Still need improvement both on theory and experimental side. +\item More data will shade a light on the matter. +\item Time will tell if this is QCD+fluctuations or new Physics: +\end{itemize} +\pause +''... when you have eliminated all the\\ +Standard Model explanations, whatever remains,\\ +however improbable, must be New Physics.''\\ +Prof. Joaquim Matias + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} +\begin{minipage}{\textwidth} +\begin{center} +\begin{LARGE} +Thank you for the attention! +\end{LARGE} +\includegraphics[width=0.8\textwidth]{images/Joke.jpg} + +\end{center} + + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + +\backupbegin + +\begin{frame}\frametitle{Backup} + + +\end{frame} + + + + + + +\begin{frame}{Theory implications} +{~} + \begin{minipage}{\textwidth} + +\includegraphics[height=0.9\textheight]{images/table.png} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{If not NP?} +{~} +\begin{minipage}{\textwidth} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{itemize} +\item How about our clean $P_i$ observables? +\item The QCD cancel as mentioned only at leading order. +\item Comparison to normal observables with the optimised ones. +\end{itemize} +\includegraphics[width=0.9\textwidth]{images/C9_S_P.png} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Transversity amplitudes } +{~} +\begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ One can link the angular observables to transversity amplitudes +{\tiny{ +\eqa{ +J_{1s} & = & \frac{(2+\beta_\ell^2)}{4} \left[|\apeL|^2 + |\apaL|^2 +|\apeR|^2 + |\apaR|^2 \right] + + \frac{4 m_\ell^2}{q^2} \re\left(\apeL\apeR^* + \apaL\apaR^*\right)\,,\nn\\[1mm] +% +J_{1c} & = & |\azeL|^2 +|\azeR|^2 + \frac{4m_\ell^2}{q^2} \left[|A_t|^2 + 2\re(\azeL^{}\azeR^*) \right] + \beta_\ell^2\, |A_S|^2 \,,\nn\\[1mm] +% +J_{2s} & = & \frac{ \beta_\ell^2}{4}\left[ |\apeL|^2+ |\apaL|^2 + |\apeR|^2+ |\apaR|^2\right], +\hspace{0.92cm} J_{2c} = - \beta_\ell^2\left[|\azeL|^2 + |\azeR|^2 \right]\,,\nn\\[1mm] +% +J_3 & = & \frac{1}{2}\beta_\ell^2\left[ |\apeL|^2 - |\apaL|^2 + |\apeR|^2 - |\apaR|^2\right], +\qquad J_4 = \frac{1}{\sqrt{2}}\beta_\ell^2\left[\re (\azeL\apaL^* + \azeR\apaR^* )\right],\nn \\[1mm] +% +J_5 & = & \sqrt{2}\beta_\ell\,\Big[\re(\azeL\apeL^* - \azeR\apeR^* ) - \frac{m_\ell}{\sqrt{q^2}}\, +\re(\apaL A_S^*+ \apaR^* A_S) \Big]\,,\nn\\[1mm] +% +J_{6s} & = & 2\beta_\ell\left[\re (\apaL\apeL^* - \apaR\apeR^*) \right]\,, +\hspace{2.25cm} J_{6c} = 4\beta_\ell\, \frac{m_\ell}{\sqrt{q^2}}\, \re (\azeL A_S^*+ \azeR^* A_S)\,,\nn\\[1mm] +% +J_7 & = & \sqrt{2} \beta_\ell\, \Big[\im (\azeL\apaL^* - \azeR\apaR^* ) + +\frac{m_\ell}{\sqrt{q^2}}\, \im (\apeL A_S^* - \apeR^* A_S)) \Big]\,,\nn\\[1mm] +% +J_8 & = & \frac{1}{\sqrt{2}}\beta_\ell^2\left[\im(\azeL\apeL^* + \azeR\apeR^*)\right]\,, +% +\hspace{1.9cm} J_9 = \beta_\ell^2\left[\im (\apaL^{*}\apeL + \apaR^{*}\apeR)\right] \,, +\label{Js}\nonumber} +}} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as (soft form factors): +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ form factors at leading order: +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$ kinematics} +{~} +\begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$. + + \only<1>{ +\begin{columns} +\column{0.5\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetak$: the angle between the direction of the kaon in the $\PKstar$ ($\overline{\PK}^{\ast}$) rest frame and the direction of the $\PKstar$ ($\overline{\PK}^{\ast}$) in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetal$: the angle between the direction of the $\Pmuon$ ($\APmuon$) in the dimuon rest frame and the direction of the dimuon in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\phi$: the angle between the plane containing the $\Pmuon$ and $\APmuon$ and the plane containing the kaon and pion from the $\PKstar$. + + + +\column{0.5\textwidth} +\includegraphics[width=0.99\textwidth]{images/angles.png} + +\end{columns} +} + \only<2>{ +{\tiny{ +\eqa{\label{dist} +\frac{d^4\Gamma}{dq^2\,d\!\cos\theta_K\,d\!\cos\theta_l\,d\phi}&=&\frac9{32\pi} \bigg[ +{\color{red}{J_{1s}}} \sin^2\theta_K + {\color{red}{J_{1c}}} \cos^2\theta_K + ({\color{red}{J_{2s} }}\sin^2\theta_K + {\color{red}{J_{2c}}} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{J_3}} \sin^2\theta_K \sin^2\theta_l \cos 2\phi + {\color{red}{J_4}} \sin 2\theta_K \sin 2\theta_l \cos\phi + {\color{red}{J_5}} \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ ({\color{red}{J_{6s}}} \sin^2\theta_K + {\color{red}{{J_{6c}}}} \cos^2\theta_K) \cos\theta_l ++ {\color{red}{J_7}} \sin 2\theta_K \sin\theta_l \sin\phi + {\color{red}{J_8}} \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{J_9}} \sin^2\theta_K \sin^2\theta_l \sin 2\phi \bigg]\,, +\nonumber} +}}\\{~}\\ +$\color{JungleGreen}{\Rrightarrow}$ This is the most general expression of this kind of decay.\\ +$\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ +\eq{ +S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber +} + +} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{J_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the soft form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft form factors at leading order: +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +% symmetries +\begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ +$\color{JungleGreen}{\Rrightarrow}$ There exist 4 symmetry transformations that leave the angular distributions unchanged: +\begin{tiny} +\eq{ +n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad +n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad +n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber +} +\end{tiny} +\begin{tiny} +\eq{ + n_i^{'} = U n_i= + \left[ + \begin{array}{ll} + e^{i\phi_L} & 0 \\ + 0 & e^{-i \phi_R} + \end{array} + \right] + \left[ + \begin{array}{rr} + \cos \theta & -\sin \theta \\ + \sin \theta & \cos \theta + \end{array} + \right] + \left[ + \begin{array}{rr} + \cosh i \tilde{\theta} & -\sinh i \tilde{\theta} \\ + - \sinh i \tilde{\theta} & \cosh i \tilde{\theta} + \end{array} + \right] + n_i \,. + \label{symmassless}\nonumber} +\end{tiny} +$\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be written as: +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} +{~} + + \begin{minipage}{\textwidth} + +\begin{itemize} +\item Thanks to Method of Moments there was the possibility to measure a new observable $S_{6c}$. +\end{itemize} +\begin{center} +\includegraphics[angle=-90,width=0.65\textwidth]{images/S6cPad.pdf}\\ +\end{center} +\begin{itemize} +\item Measurement is consistent with the SM prediction. +\end{itemize} + +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Angular analysis of $\PBzero \to \PKstar \Pe \Pe$} +{~} +\only<1>{ + \begin{minipage}{\textwidth} + \begin{itemize} + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2/c^4$. + \item Electrons channels are extremely challenging experimentally: + \begin{itemize} + \item Bremsstrahlung. + \item Trigger efficiencies. + \end{itemize} + \item Determine the angular observables: $\FL$, $\ATD$, $\ATRe$, $\ATIm$: + \end{itemize} + +\begin{itemize} +\item Results in full agreement with the SM. +\item Similar strength on $C_7$ Wilson coefficient as from $\Pbeauty \to \Pstrange \Pphoton$ decays. +\end{itemize} + +\begin{center} +\includegraphics[width=0.9\textwidth]{images/Kstee2.png} +\end{center} + +} +\end{minipage} +\textref{JHEP 04 (2015) 064} +\vspace*{2.1cm} +\end{frame} + + + + + +\backupend +\end{document} + + + + + + + diff --git a/KPS_2017/mchrzasz.tex~ b/KPS_2017/mchrzasz.tex~ new file mode 100644 index 0000000..22ed57f --- /dev/null +++ b/KPS_2017/mchrzasz.tex~ @@ -0,0 +1,1455 @@ +\documentclass[11 pt,xcolor={dvipsnames,svgnames,x11names,table}]{beamer} + +\usepackage[english]{babel} +\usepackage{polski} + + +\usetheme[ + bullet=circle, % Other option: square + bigpagenumber, % circled page number on lower right + topline=true, % colored bar at the top of the frame + shadow=false, % Shading for beamer blocks + watermark=BG_lower, % png file for the watermark + ]{Flip} + +%\logo{\kern+1.em\includegraphics[height=1cm]{SHiP-3_LightCharcoal}} + + +\usepackage[lf]{berenis} +\usepackage[LY1]{fontenc} +\usepackage[utf8]{inputenc} + +\usepackage{emerald} +\usefonttheme{professionalfonts} +\usepackage[no-math]{fontspec} +\defaultfontfeatures{Mapping=tex-text} % This seems to be important for mapping glyphs properly + +\setmainfont{Gillius ADF} % Beamer ignores "main font" in favor of sans font +\setsansfont{Gillius ADF} % This is the font that beamer will use by default +% \setmainfont{Gill Sans Light} % Prettier, but harder to read + +\setbeamerfont{title}{family=\fontspec{Gillius ADF}} + +\input t1augie.fd + +%\newcommand{\handwriting}{\fontspec{augie}} % From Emerald City, free font +%\newcommand{\handwriting}{\usefont{T1}{fau}{m}{n}} % From Emerald City, free font +% \newcommand{\handwriting}{} % If you prefer no special handwriting font or don't have augie + +%% Gill Sans doesn't look very nice when boldfaced +%% This is a hack to use Helvetica instead +%% Usage: \textbf{\forbold some stuff} +%\newcommand{\forbold}{\fontspec{Arial}} + +\usepackage{graphicx} +\usepackage[export]{adjustbox} +\usepackage[absolute,overlay]{textpos} + +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{bm} +\usepackage{colortbl} +\usepackage{mathrsfs} % For Weinberg-esque letters +\usepackage{cancel} % For "SUSY-breaking" symbol +\usepackage{slashed} % for slashed characters in math mode +\usepackage{bbm} % for \mathbbm{1} (unit matrix) +\usepackage{amsthm} % For theorem environment +\usepackage{multirow} % For multi row cells in table +\usepackage{arydshln} % For dashed lines in arrays and tables +\usepackage{siunitx} +\usepackage{xhfill} +\usepackage{grffile} +\usepackage{textpos} +\usepackage{subfigure} +\usepackage{tikz} + +%\usepackage{hepparticles} +\usepackage[italic]{hepparticles} + +\usepackage{hepnicenames} + +% Drawing a line +\tikzstyle{lw} = [line width=20pt] +\newcommand{\topline}{% + \tikz[remember picture,overlay] {% + \draw[crimsonred] ([yshift=-23.5pt]current page.north west) + -- ([yshift=-23.5pt,xshift=\paperwidth]current page.north west);}} + + + +% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % +\usepackage{tikzfeynman} % For Feynman diagrams +\usetikzlibrary{arrows,shapes} +\usetikzlibrary{trees} +\usetikzlibrary{matrix,arrows} % For commutative diagram +% http://www.felixl.de/commu.pdf +\usetikzlibrary{positioning} % For "above of=" commands +\usetikzlibrary{calc,through} % For coordinates +\usetikzlibrary{decorations.pathreplacing} % For curly braces +% http://www.math.ucla.edu/~getreuer/tikz.html +\usepackage{pgffor} % For repeating patterns + +\usetikzlibrary{decorations.pathmorphing} % For Feynman Diagrams +\usetikzlibrary{decorations.markings} +\tikzset{ + % >=stealth', %% Uncomment for more conventional arrows + vector/.style={decorate, decoration={snake}, draw}, + provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw}, + antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw}, + fermion/.style={draw=gray, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=gray]{>}}}}, + fermionbar/.style={draw=gray, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=gray]{<}}}}, + fermionnoarrow/.style={draw=gray}, + gluon/.style={decorate, draw=black, + decoration={coil,amplitude=4pt, segment length=5pt}}, + scalar/.style={dashed,draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, + scalarbar/.style={dashed,draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{<}}}}, + scalarnoarrow/.style={dashed,draw=black}, + electron/.style={draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, + bigvector/.style={decorate, decoration={snake,amplitude=4pt}, draw}, +} + +% TIKZ - for block diagrams, +% from http://www.texample.net/tikz/examples/control-system-principles/ +% \usetikzlibrary{shapes,arrows} +\tikzstyle{block} = [draw, rectangle, +minimum height=3em, minimum width=6em] + + + + +\usetikzlibrary{backgrounds} +\usetikzlibrary{mindmap,trees} % For mind map +\newcommand{\degree}{\ensuremath{^\circ}} +\newcommand{\E}{\mathrm{E}} +\newcommand{\Var}{\mathrm{Var}} +\newcommand{\Cov}{\mathrm{Cov}} +\newcommand\Ts{\rule{0pt}{2.6ex}} % Top strut +\newcommand\Bs{\rule[-1.2ex]{0pt}{0pt}} % Bottom strut + +\graphicspath{{images/}} % Put all images in this directory. Avoids clutter. + +% SOME COMMANDS THAT I FIND HANDY +% \renewcommand{\tilde}{\widetilde} % dinky tildes look silly, dosn't work with fontspec +\newcommand{\comment}[1]{\textcolor{comment}{\footnotesize{#1}\normalsize}} % comment mild +\newcommand{\Comment}[1]{\textcolor{Comment}{\footnotesize{#1}\normalsize}} % comment bold +\newcommand{\COMMENT}[1]{\textcolor{COMMENT}{\footnotesize{#1}\normalsize}} % comment crazy bold +\newcommand{\Alert}[1]{\textcolor{Alert}{#1}} % louder alert +\newcommand{\ALERT}[1]{\textcolor{ALERT}{#1}} % loudest alert +%% "\alert" is already a beamer pre-defined +\newcommand*{\Scale}[2][4]{\scalebox{#1}{$#2$}}% + +\def\Put(#1,#2)#3{\leavevmode\makebox(0,0){\put(#1,#2){#3}}} + +\usepackage{gmp} +\usepackage[final]{feynmp-auto} + +\usepackage[backend=bibtex,style=numeric-comp,firstinits=true]{biblatex} +\bibliography{bib} +\setbeamertemplate{bibliography item}[text] + +\makeatletter\let\frametextheight\beamer@frametextheight\makeatother + +% suppress frame numbering for backup slides +% you always need the appendix for this! +\newcommand{\backupbegin}{ + \newcounter{framenumberappendix} + \setcounter{framenumberappendix}{\value{framenumber}} +} +\newcommand{\backupend}{ + \addtocounter{framenumberappendix}{-\value{framenumber}} + \addtocounter{framenumber}{\value{framenumberappendix}} +} + + +\definecolor{links}{HTML}{2A1B81} +%\hypersetup{colorlinks,linkcolor=,urlcolor=links} + +% For shapo's formulas: +\def\lsi{\raise0.3ex\hbox{$<$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}} +\def\gsi{\raise0.3ex\hbox{$>$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}} +\newcommand{\lsim}{\mathop{\lsi}} +\newcommand{\gsim}{\mathop{\gsi}} +\newcommand{\wt}{\widetilde} +%\newcommand{\ol}{\overline} +\newcommand{\Tr}{\rm{Tr}} +\newcommand{\tr}{\rm{tr}} +\newcommand{\eqn}[1]{&\hspace{-0.7em}#1\hspace{-0.7em}&} +\newcommand{\vev}[1]{\rm{$\langle #1 \rangle$}} +\newcommand{\abs}[1]{\rm{$\left| #1 \right|$}} +\newcommand{\eV}{\rm{eV}} +\newcommand{\keV}{\rm{keV}} +\newcommand{\GeV}{\rm{GeV}} +\newcommand{\MeV}{\rm{MeV}} +\newcommand{\im}{\rm{Im}} +\newcommand{\re}{{\rm Re}} +\newcommand{\invfb}{\rm{fb^{-1}}} +\newcommand{\fixme}{\rm{{\color{red}{FIXME!}}}} +\newcommand{\thetal}{\theta_l} +\newcommand{\thetak}{\theta_k} +\newcommand{\nn}{\nonumber} +\newcommand{\eq}[1]{\begin{equation} #1 \end{equation}} +%\newcommand{\eqn}[1]{\begin{displaymath} #1 \end{displaymath}} +\newcommand{\eqa}[1]{\begin{eqnarray} #1 \end{eqnarray}} +\newcommand{\apeL}{{A_\perp^L}} +\newcommand{\apeR}{{A_\perp^R}} +\newcommand{\apeLR}{{A_\perp^{L,R}}} +\newcommand{\apaL}{{A_\|^L}} +\newcommand{\apaR}{{A_\|^R}} +\newcommand{\apaLR}{{A_\|^{L,R}}} +\newcommand{\azeL}{{A_0^L}} +\newcommand{\azeR}{{A_0^R}} +\newcommand{\azeLR}{{A_0^{L,R}}} +\newcommand{\Real}{\ensuremath{\mathcal{R}e}\xspace} +\newcommand{\Imag}{\ensuremath{\mathcal{I}m}\xspace} + +\renewcommand{\C}[1]{{\cal C}_{#1}} +\newcommand{\Ceff}[1]{{\cal C}^{\rm eff}_{#1}} +\newcommand{\Cpeff}[1]{{\cal C}^{\rm eff\prime}_{#1}} +\newcommand{\Cp}[1]{{\cal C}^{\prime}_{#1}} +\def\FL {\ensuremath{F_{\mathrm{L}}}\xspace} +\def\ATDPH {\ensuremath{A_{\mathrm{T,PR}}^{(2)}}\xspace} +\def\ATImPH {\ensuremath{A_{\mathrm{T,PR}}^{\mathrm{Im}}}\xspace} +\def\ATRePH {\ensuremath{A_{\mathrm{T,PR}}^{\mathrm{Re}}}\xspace} +\def\FLPH {\ensuremath{F_{\mathrm{L,PR}}}\xspace} +\def\ATDKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{(2)}}\xspace} +\def\ATImKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{\mathrm{Im}}}\xspace} +\def\ATReKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{\mathrm{Re}}}\xspace} +\def\FLKG {\ensuremath{F_{\mathrm{L,\Kstarz \gamma}}}\xspace} +\def\ATD {\ensuremath{A_{\mathrm{T}}^{(2)}}\xspace} +\def\ATIm {\ensuremath{A_{\mathrm{T}}^{\mathrm{Im}}}\xspace} +\def\ATRe {\ensuremath{A_{\mathrm{T}}^{\mathrm{Re}}}\xspace} + +\def\cgreen{\color{green}} +\definecolor{green}{rgb}{0.2,0.6,0.2} + + +\newcommand{\disp}{\displaystyle} +\def\be{\begin{equation}} +\def\ee{\end{equation}} +\def\ba{\begin{eqnarray}} +\def\ea{\end{eqnarray}} +\def\d{\partial} +\def\l{\left(} +\def\r{\right)} +\def\la{\langle} +\def\ra{\rangle} +\def\e{{\rm e}} +\def\Br{{\rm Br}} + +\def\ARROW{{\color{JungleGreen}{$\Rrightarrow$}}\xspace} + +\newcommand\textref[1]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{{\color{RoyalBlue} \emph{#1}}}\hspace{1.5em} + \end{textblock*}} + +\newcommand\textahref[2]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{\emph{\href{#1}{#2} }}\hspace{1.5em} + \end{textblock*}} + + +\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich, IFJ PAN)} +\institute{UZH, IFJ PAN} +\title[Quark flavour anomalies of the SM]{Quark flavour anomalies of the SM} +\date{25 September 2014} + + +\begin{document} +\tikzstyle{every picture}+=[remember picture] + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +{ +\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}} +\begin{frame}[c]%{\phantom{title page}} +\begin{center} +\begin{center} + \begin{columns} + \begin{column}{0.75\textwidth} + \flushright\fontspec{Trebuchet MS}\bfseries \LARGE {Quark flavour\\ anomalies of the SM} + \end{column} + \begin{column}{0.02\textwidth} + {~} + \end{column} + \begin{column}{0.23\textwidth} + % \hspace*{-1.cm} + \vspace*{-3mm} + \includegraphics[width=0.6\textwidth]{lhcb-logo} + \end{column} + + \end{columns} +\end{center} + \quad + \vspace{3em} +\begin{columns} +\begin{column}{0.44\textwidth} +\flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}} + +\end{column} +\begin{column}{0.53\textwidth} +\includegraphics[height=1.3cm]{uzh-transp}{~}{~} +\includegraphics[height=1.1cm]{ifj.png} +\end{column} +\end{columns} + +\vspace{1em} + \footnotesize\textcolor{gray}{on behalf of the LHCb collaboration,\\ Universit\"{a}t Z\"{u}rich, \\ Institute of Nuclear Physics, Polish Academy of Science}\normalsize\\ +\vspace{0.5em} + + \textcolor{normal text.fg!50!Comment}{Quark Confinement and Hadron Spectrum,\\ Thessaloniki, 28 August - 3 September 2016} +\end{center} +\end{frame} +} + + + + +\iffalse + +\begin{frame}{Outline} + + \begin{minipage}{\textwidth} + +\begin{enumerate} +\item Why flavour is important. +\item $\Pbeauty \to \Pstrange \ell \ell$ theory in a nutshell. +\item LHCb measurements of $\Pbeauty \to \Pstrange \ell \ell$. +\item Global fit to $\Pbeauty \to \Pstrange \ell \ell$ measurements. +\item Conclusions. +\end{enumerate} + + +\end{minipage} + \vspace*{2.cm} +\end{frame} + +\fi + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Why electroweak penguin decays?} +\begin{columns} +\column{4in} +\begin{itemize} +\item In SM allows only the charged interactions to change flavour. +\begin{itemize} +\item Other interactions are flavour conserving. +\end{itemize} +\item One can escape this constrain and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. +\begin{itemize} +\item This kind of processes are suppressed in SM $\to$~Rare decays. +\item New Physics can enter in the loops. +\end{itemize} +\end{itemize} +\begin{center} +\includegraphics[scale=0.3]{images/lupa.png} +\includegraphics[scale=0.3]{images/example.png} +\end{center} +\column{1.5in} +\includegraphics[width=0.61\textwidth]{images/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{1.2in} +\begin{small} +\begin{align*} +H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\prime \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*} +\end{small} +\column{1.8in} +\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} +where $C_i$ are the Wilson coefficients and $O_i$ are the corresponding effective operators. +\begin{center} +\includegraphics[width=0.85\textwidth,height=3cm]{images/all.png} + +\end{center} + + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame} +\only<1>{\frametitle{LHCb detector - tracking} + +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/sketch.png} +\end{columns} +\begin{itemize} +\item Excellent Impact Parameter (IP) resolution ($20~\rm \mu m$).\\ +$\Rightarrow$ Identify secondary vertices from heavy flavour decays +\item Proper time resolution $\sim~40~\rm fs$.\\ +$\Rightarrow$ Good separation of primary and secondary vertices. +\item Excellent momentum ($\delta p/p \sim 0.5 - 1.0\%$) and inv. mass resolution.\\ +$\Rightarrow$ Low combinatorial background. + +\end{itemize} + +} + +\only<2>{\frametitle{LHCb detector - PID} + +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/cher.png} +\end{columns} +\begin{itemize} +\item Excellent Muon identification $\epsilon_{\mu \to \mu} \sim 97\%$, $\epsilon_{\pi \to \mu} \sim 1-3\%$ +\item Good $\PK-\Ppi$ separation via RICH detectors, $\epsilon_{\PK \to \PK} \sim 95\%$, $\epsilon_{\Ppi \to \PK} \sim 5\%$.\\ +$\Rightarrow$ Reject peaking backgrounds. +\item High trigger efficiencies, low momentum thresholds. +Muons: $p_T > 1.76 \GeV$ at L0, $p_T > 1.0 \GeV$ at HLT1,\\ +$B \to \PJpsi X $: Trigger $\sim 90\%$. + +\end{itemize} + + +} + +\textref{Int. J. Mod. Phys. A30 (2015) 1530022} +\vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Recent measurements of $\Pbeauty \to \Pstrange \Plepton \Plepton$} +{~} +\only<1>{ + + \begin{minipage}{\textwidth} + + +\begin{columns} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~} \textt{\begin{tiny}1606.04731\end{tiny} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [$\PBs \to \Pphi \Pmuon \APmuon$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [$\PB \to\Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}Nature 15\end{tiny}} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} +\begin{description} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} +\end{description} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} +\begin{description} +\item [$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$] {~}{~}\begin{tiny}PRL 113, (2014)\end{tiny} +\end{description} + + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} +\begin{description} +\item [$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 02 (2016) 104\end{tiny} +\item [$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$] \begin{tiny}PRD 86 032012\end{tiny} +\item [$\PBs \to \Pphi \Pmu \Pmu$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\end{description} + + + + + +\end{columns} + +\end{minipage} +} +\only<2>{ + + \begin{minipage}{\textwidth} + + +\begin{columns} + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} +\begin{description} +\item [{\color{red}{$\PB \to \PK \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}1606.04731\end{tiny}}} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [{\color{red}{$\PBs \to \Pphi \Pmuon \APmuon$}}] {~}{~}{~}{\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [{\color{red}{$\PB \to\Pmuon \APmuon$}}] {~}{~}{~}{~}{~}{\color{red}{\begin{tiny}Nature 15\end{tiny}}} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} +\begin{description} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} +\end{description} + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} +\begin{description} +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} +\end{description} + + +\column{0.5\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} +\begin{description} +\item [{\color{red}{$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$}}] {~}{~}{\color{red}{\begin{tiny}PRL 113, (2014)\end{tiny}}} +\end{description} + + +$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} +\begin{description} +\item [{\color{red}{$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$}}] {~}{~}{~}\begin{tiny}PRD 86 032012\end{tiny} +\item [{\color{red}{$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$}}] {\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PBs \to \Pphi \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [{\color{red}{$\PLambdab \to \PLambda \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}JHEP 06 (2015) 115\end{tiny}}} +\end{description} + +\begin{alertblock}{} +$>2~\sigma$ deviations from SM + +\end{alertblock} + +\end{columns} + +\end{minipage} +} + +\vspace*{2.1cm} +\end{frame} + +\iffalse + + +\fi + + +\begin{frame}{Observables in $\PB \to \PKstar \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + +\ARROW The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$.\\ +\ARROW The angular distribution can be written as: + +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} +\ARROW This equation is valid in the SM for massless leptons! + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{S_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the soft form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft form factors at leading order: +\eq{P_5^{\prime} = \dfrac{S_5+\bar{S}_5}{2\sqrt{F_L (1-F}}\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +% symmetries + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +{~} +\begin{minipage}{\textwidth} +\begin{columns} + +\column{0.55\textwidth} +\begin{itemize} +\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to reject background. +\item Reject the regions of $\PJpsi$ and $\Ppsi(2S)$. +\item Specific vetos for backgrounds: $\PLambdab \to \Pproton \PK \Pmu \Pmu$, $\PBs \to \Pphi \Pmu \Pmu$, etc. +\item Using k-Fold technique and signal proxy $\PB \to \PJpsi \PKstar$ for training the BDT. +\item Improved selection allowed for finer binning than the $1\invfb$ analysis. +\end{itemize} + + +\column{0.45\textwidth} + +\includegraphics[angle=-90,width=0.88\textwidth]{images/Fig1.pdf} \\ +\includegraphics[width=0.88\textwidth]{images/fold.png} + +\end{columns} + + + +\end{minipage} + \textref{JHEP 02 (2016) 104} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item Signal modelled by a sum of two Crystal-Ball functions. +\item Shape is defined using $\PB \to \PJpsi \PKstar$ and corrected for $q^2$ dependency. +\item Combinatorial background modelled by exponent. +\end{itemize} + +\begin{columns} +\column{0.5\textwidth} +\begin{itemize} +\item $\PK \Ppi$ system: +\begin{itemize} +\item Beside the $\PKstar$ resonance there might might a tail from other higher mass states. +\item We modelled it in the analysis. +\item Reduced the systematic compared to previous analysis. +\end{itemize} +\end{itemize} + +\column{0.5\textwidth} + +\includegraphics[width=0.88\textwidth]{images/pbkg} + +\end{columns} + +\begin{large} +\begin{itemize} +\item In total we found $2398\pm57$ candidates in the $(0.1,19)~\GeV^2$ $q^2$ region. +\item $624 \pm 30$ candidates in the theoretically the most interesting $(1.1-6.0)~\GeV^2/c^4$ region. +\end{itemize} +\end{large} + + + + +\end{minipage} + \textref{JHEP 02 (2016) 104} + +\vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Detector acceptance} +{~} +\begin{minipage}{\textwidth} +\begin{columns} + +\column{0.6\textwidth} +\begin{itemize} +\item Detector distorts our angular distribution. +\item We need to model this effect. +\item 4D function is used: +\begin{align*} +\epsilon (\cos \thetal, \cos \thetak, \phi, q^2) = \\\sum_{ijkl} c_{ijkl} P_i(\cos \thetal) P_j(\cos \thetak ) P_k(\phi) P_l(q^2), +\end{align*} +where $P_i$ is the Legendre polynomial of order $i$. +\item We use up to $4^{th}, 5^{th}, 6^{th}, 5^{th}$ order for the $\cos \thetal, \cos \thetak, \phi, q^2$. +\item $600$ terms in total! +\end{itemize} + + + + +\column{0.4\textwidth} +\includegraphics[width=0.99\textwidth]{images/det.png} +\end{columns} + + +\end{minipage} + \textref{JHEP 02 (2016) 104} + +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Control channel} +{~} +\begin{minipage}{\textwidth} + + +\begin{itemize} +\item We tested our unfolding procedure on $\PB \to \PJpsi \PKstar$. +\item The result is in perfect agreement with other experiments and our different analysis of this decay. +\end{itemize} + +\begin{columns} + +\column{0.5\textwidth} + +\includegraphics[width=0.95\textwidth]{images/mlogjpsi.png} +\column{0.5\textwidth} +\includegraphics[width=0.95\textwidth]{images/mkpijpsi.png} + +\end{columns} + + +\begin{columns} + +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/costhetakjpsi.png} +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/costhetaljpsi.png} +\column{0.33\textwidth} +\includegraphics[width=0.91\textwidth]{images/phijpsi.png} + +\end{columns} + +%\includegraphics[width=0.99\textwidth]{images/angles2.png} + + + +\end{minipage} +\textref{JHEP 02 (2016) 104} +\vspace*{2.1cm} +\end{frame} + +\begin{frame}{Method of moments} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item Use orthogonality of spherical harmonics, $f_j(\cos \thetal, \cos \thetak, \phi)$: +\begin{equation*} +\int f_i(\cos \thetal, \cos \thetak, \phi) \cdot f_j(\cos \thetal, \cos \thetak, \phi) = \delta_{ij} +\end{equation*} +\begin{equation*} +M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) +\end{equation*} +\item Don’t have true angular distribution but we ''sample'' it with our data. +\item Therefore: $\int \rightarrow \sum$ and $M_i \rightarrow \widehat{M}_i$ + +%\begin{equation*} +%M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) +%\end{equation*} +\item Acceptance corrections is included by: +\begin{equation*} +\widehat{M}_i = \dfrac{1}{\sum_e w_e} \sum w_e f_i(\cos \thetal, \cos \thetak, \phi) +\end{equation*} +\item The weight $w_e$ accounts for the efficiency from previous slide. + + +\end{itemize} + +\end{minipage} + \textref{Phys. Rev. D 91, 114012 (2015)} + +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_FLPad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S3Pad.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S4Pad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S5Pad.pdf} +\end{columns} +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_AFBPad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S7Pad.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S8Pad.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S9Pad.pdf} +\end{columns} +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} +{~} + + \begin{minipage}{\textwidth} + \begin{center} + \includegraphics[angle=-90,width=0.65\textwidth]{images/compare_P5pPad.pdf}\\ + \end{center} + +\begin{itemize} +\item Tension gets confirmed! +\item The two bins deviate by $2.8$~and~$3.0~\sigma$ from SM prediction. +\item Result compatible with previous result. +\end{itemize} + + +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} +{~} + + \begin{minipage}{\textwidth} + +\begin{itemize} +\item Thanks to Method of Moments there was the possibility to measure a new observable $S_{6c}$. +\end{itemize} +\begin{center} +\includegraphics[angle=-90,width=0.65\textwidth]{images/S6cPad.pdf}\\ +\end{center} +\begin{itemize} +\item Measurement is consistent with the SM prediction. +\end{itemize} + +\end{minipage} +\textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{BF measurements of $\PB \to \PKstar^{0,\pm} \Pmu \Pmu$} +{~} +\includegraphics[angle=-90,width=0.5\textwidth]{images/ksmumu_BF.pdf} +\includegraphics[angle=-90,width=0.5\textwidth]{images/kmumu_BF.pdf} + +\begin{center} +\begin{columns} + +\column{0.5\textwidth} +\begin{itemize} +\item Despite large theoretical errors the results are consistently smaller than SM prediction. +%\item \href{http://dx.doi.org/10.1007/JHEP06(2014)133}{{\color{blue}{JHEP 06 (2014) 133}}} +\end{itemize} +\column{0.5\textwidth} +\includegraphics[angle=-90,width=0.850\textwidth]{images/bukst_BF.pdf} + + +\end{columns} + + +\end{center} +\textref{JHEP 06 (2014) 133} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{BF measurements of $\PBs \to \Pphi \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + \begin{center} + \includegraphics[height=4cm]{images/bs2phipi.png} + \includegraphics[height=4cm]{images/BsSel.png} + \end{center} + +\begin{itemize} + +\item Suppressed by $\frac{f_s}{f_d}$. +\item Cleaner because of narrow $\Pphi$ resonance. +\item $3.3~\sigma$ deviation in SM in the $1-6\GeV^2/c^4$ bin. +\item Angular part in agreement with SM ($S_5$ is not accessible). +\end{itemize} + + +\end{minipage} +\textref{JHEP09 (2015) 179} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Measurements of $\PLambdab \to \PLambda \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} + + \includegraphics[width=0.32\textwidth]{images/Lb_BR.png} \includegraphics[width=0.32\textwidth]{images/Lblow.png} +\includegraphics[width=0.32\textwidth]{images/Lbhigh.png} + +\begin{small} +\begin{itemize} +\item In total $\sim 300$ candidates in data set. +\item Decay not present in the low $q^2$. +\item For the bins in which we have $>3~\sigma$ significance the forward backward asymmetry is measured for the hadronic and leptonic system. +\end{itemize} +\end{small} +\vspace{-0.5cm} +\begin{center} +\includegraphics[width=0.7\textwidth]{{images/AFB_Lb}.png} +\end{center} +\begin{itemize} +\item $A_{FB}^H$ is in good agreement with SM. +\item $A_{FB}^{\ell}$ always in above SM prediction. +\end{itemize} +\end{minipage} +\textref{JHEP 06 (2015) 115} +\vspace*{2.1cm} +\end{frame} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Lepton universality test} +{~} +\begin{minipage}{\textwidth} +\begin{columns} +\column{3.0in} + +\begin{itemize} + + +%\includegraphics[width=0.99\textwidth]{images/uni2.png} +\item Challenging analysis due to bremsstrahlung. +\item Migration of events modeled by MC. +\item Correct for bremsstrahlung. +\item Take double ratio with $\PBplus \to \PJpsi \PKplus$ to cancel systematics. +\item In $3\invfb$, 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=1.05\textwidth]{images/uni2.png} \\ + +\includegraphics[width=0.99\textwidth]{images/RK.png}\\ +%\includegraphics[width=0.99\textwidth]{{images/rk_}.png}\\ +\end{columns} +\includegraphics[width=0.85\textwidth]{{images/rk_}.png}\\ + + + +\end{minipage} +\textref{Phys. Rev. Lett. 113, 151601 (2014)} +\vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Angular analysis of $\PBzero \to \PKstar \Pe \Pe$} +{~} +\only<1>{ + \begin{minipage}{\textwidth} + \begin{itemize} + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2/c^4$. + \item Electrons channels are extremely challenging experimentally: + \begin{itemize} + \item Bremsstrahlung. + \item Trigger efficiencies. + \end{itemize} + \item Determine the angular observables: $\FL$, $\ATD$, $\ATRe$, $\ATIm$: + \end{itemize} + +\begin{itemize} +\item Results in full agreement with the SM. +\item Similar strength on $C_7$ Wilson coefficient as from $\Pbeauty \to \Pstrange \Pphoton$ decays. +\end{itemize} + +\begin{center} +\includegraphics[width=0.9\textwidth]{images/Kstee2.png} +\end{center} + +} +\end{minipage} +\textref{JHEP 04 (2015) 064} +\vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Theory implications} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. +\item Took into the fit: +\begin{itemize} +\item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, {\color{blue}{ Misiak et. al. PRL 114, 221801 (2015)}} + +\item $\mathcal{B} ( \PB \to\Pmu \Pmu)$, theory: {\color{blue}{ Bobeth PRD 89, (2014)}}, experiment: LHCb+CMS average (2015) +\item $\mathcal{B} ( \PB \to X_s \Pmu \Pmu$), {\color{blue}{ Huber et al Nucl Phys B802, 2008}} +\item $\mathcal{B} ( \PB \to \PK \Pmu \Pmu$), {\color{blue}{ Bouchard et al JHEP11 (2011) 122}} +\item $\PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$,{\color{blue}{ Horgan et al PRL 112, (2014)}} +\item $\PB \to \PK \Pe \Pe$, $\PB \to \PKstar \Pe \Pe$ and $R_k$. +\end{itemize} +%\item Overall there is $>4~\sigma$ discrepancy wrt. SM. +\end{itemize} + + + + + +\end{minipage} +\textref{JHEP 06 (2016) 092} +\vspace*{2.1cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Theory implications} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. +\item The data can be explained by modifying the $C_9$ Wilson coefficient. +\item Overall there is $>4~\sigma$ discrepancy wrt. SM prediction. +\end{itemize} +\includegraphics[width=0.9\textwidth]{images/C9.png} + + + + +\end{minipage} +\textref{JHEP 06 (2016) 092} +\vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{If not NP?} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item We are not there yet! +\item There might be something not taken into account in the theory. +\item Resonances ($\PJpsi$, $\Ppsi(2S)$) tails can mimic NP effects. +\item There might be some non factorizable QCD corrections.\\ +'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv:1503.06199}}} +. +\end{itemize} +\only<1>{ +\includegraphics[width=0.6\textwidth]{images/charmloop.png} + +} +\only<2>{ +\begin{center} +\includegraphics[width=0.6\textwidth]{images/charmloop2.png} +\end{center} +} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{There is more!} +{~} +\begin{minipage}{\textwidth} + +\begin{itemize} +\item There is one other Lepton Universality Violation decay recently measured by LHCb. +\item $R(\PDstar)=\dfrac{\mathcal{B}(\PB \to \PDstar \Ptau \Pnu)}{\mathcal{B}(\PB \to \PDstar \Pmu \Pnu)}$ +\item Clean SM prediction: $R(\PDstar)=0.252(3)$, {\color{blue}{PRD 85 094025 (2012)}} +\item LHCb result: $R(\PDstar)= 0.336 \pm 0.027 \pm 0.030$ +\item HFAG average: $R(\PDstar)=0.322 \pm 0.022$ +\item $4.0~\sigma$ discrepancy wrt. SM. +\end{itemize} + +\begin{center} + +\includegraphics[width=0.4\textwidth]{images/RDstar.png} + +\end{center} +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Conclusions} +{~} +\begin{minipage}{\textwidth} +\begin{itemize} +\item Clear tensions wrt. SM predictions! +\item Measurements cluster in the same direction. +\item We are not opening the champagne yet! +\item Still need improvement both on theory and experimental side. +\item Time will tell if this is QCD+fluctuations or new Physics: +\end{itemize} +\pause +''... when you have eliminated all the\\ +Standard Model explanations, whatever remains,\\ +however improbable, must be New Physics.''\\ +Prof. Joaquim Matias + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} +\begin{minipage}{\textwidth} +\begin{center} +\begin{LARGE} +Thank you for the attention! +\end{LARGE} +\includegraphics[width=0.8\textwidth]{images/Joke.jpg} + +\end{center} + + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + +\backupbegin + +\begin{frame}\frametitle{Backup} + + +\end{frame} + + + + + + +\begin{frame}{Theory implications} +{~} + \begin{minipage}{\textwidth} + +\includegraphics[height=0.9\textheight]{images/table.png} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{If not NP?} +{~} +\begin{minipage}{\textwidth} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{itemize} +\item How about our clean $P_i$ observables? +\item The QCD cancel as mentioned only at leading order. +\item Comparison to normal observables with the optimised ones. +\end{itemize} +\includegraphics[width=0.9\textwidth]{images/C9_S_P.png} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Transversity amplitudes } +{~} +\begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ One can link the angular observables to transversity amplitudes +{\tiny{ +\eqa{ +J_{1s} & = & \frac{(2+\beta_\ell^2)}{4} \left[|\apeL|^2 + |\apaL|^2 +|\apeR|^2 + |\apaR|^2 \right] + + \frac{4 m_\ell^2}{q^2} \re\left(\apeL\apeR^* + \apaL\apaR^*\right)\,,\nn\\[1mm] +% +J_{1c} & = & |\azeL|^2 +|\azeR|^2 + \frac{4m_\ell^2}{q^2} \left[|A_t|^2 + 2\re(\azeL^{}\azeR^*) \right] + \beta_\ell^2\, |A_S|^2 \,,\nn\\[1mm] +% +J_{2s} & = & \frac{ \beta_\ell^2}{4}\left[ |\apeL|^2+ |\apaL|^2 + |\apeR|^2+ |\apaR|^2\right], +\hspace{0.92cm} J_{2c} = - \beta_\ell^2\left[|\azeL|^2 + |\azeR|^2 \right]\,,\nn\\[1mm] +% +J_3 & = & \frac{1}{2}\beta_\ell^2\left[ |\apeL|^2 - |\apaL|^2 + |\apeR|^2 - |\apaR|^2\right], +\qquad J_4 = \frac{1}{\sqrt{2}}\beta_\ell^2\left[\re (\azeL\apaL^* + \azeR\apaR^* )\right],\nn \\[1mm] +% +J_5 & = & \sqrt{2}\beta_\ell\,\Big[\re(\azeL\apeL^* - \azeR\apeR^* ) - \frac{m_\ell}{\sqrt{q^2}}\, +\re(\apaL A_S^*+ \apaR^* A_S) \Big]\,,\nn\\[1mm] +% +J_{6s} & = & 2\beta_\ell\left[\re (\apaL\apeL^* - \apaR\apeR^*) \right]\,, +\hspace{2.25cm} J_{6c} = 4\beta_\ell\, \frac{m_\ell}{\sqrt{q^2}}\, \re (\azeL A_S^*+ \azeR^* A_S)\,,\nn\\[1mm] +% +J_7 & = & \sqrt{2} \beta_\ell\, \Big[\im (\azeL\apaL^* - \azeR\apaR^* ) + +\frac{m_\ell}{\sqrt{q^2}}\, \im (\apeL A_S^* - \apeR^* A_S)) \Big]\,,\nn\\[1mm] +% +J_8 & = & \frac{1}{\sqrt{2}}\beta_\ell^2\left[\im(\azeL\apeL^* + \azeR\apeR^*)\right]\,, +% +\hspace{1.9cm} J_9 = \beta_\ell^2\left[\im (\apaL^{*}\apeL + \apaR^{*}\apeR)\right] \,, +\label{Js}\nonumber} +}} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as (soft form factors): +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ form factors at leading order: +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$ kinematics} +{~} +\begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$. + + \only<1>{ +\begin{columns} +\column{0.5\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetak$: the angle between the direction of the kaon in the $\PKstar$ ($\overline{\PK}^{\ast}$) rest frame and the direction of the $\PKstar$ ($\overline{\PK}^{\ast}$) in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetal$: the angle between the direction of the $\Pmuon$ ($\APmuon$) in the dimuon rest frame and the direction of the dimuon in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\phi$: the angle between the plane containing the $\Pmuon$ and $\APmuon$ and the plane containing the kaon and pion from the $\PKstar$. + + + +\column{0.5\textwidth} +\includegraphics[width=0.99\textwidth]{images/angles.png} + +\end{columns} +} + \only<2>{ +{\tiny{ +\eqa{\label{dist} +\frac{d^4\Gamma}{dq^2\,d\!\cos\theta_K\,d\!\cos\theta_l\,d\phi}&=&\frac9{32\pi} \bigg[ +{\color{red}{J_{1s}}} \sin^2\theta_K + {\color{red}{J_{1c}}} \cos^2\theta_K + ({\color{red}{J_{2s} }}\sin^2\theta_K + {\color{red}{J_{2c}}} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{J_3}} \sin^2\theta_K \sin^2\theta_l \cos 2\phi + {\color{red}{J_4}} \sin 2\theta_K \sin 2\theta_l \cos\phi + {\color{red}{J_5}} \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ ({\color{red}{J_{6s}}} \sin^2\theta_K + {\color{red}{{J_{6c}}}} \cos^2\theta_K) \cos\theta_l ++ {\color{red}{J_7}} \sin 2\theta_K \sin\theta_l \sin\phi + {\color{red}{J_8}} \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{J_9}} \sin^2\theta_K \sin^2\theta_l \sin 2\phi \bigg]\,, +\nonumber} +}}\\{~}\\ +$\color{JungleGreen}{\Rrightarrow}$ This is the most general expression of this kind of decay.\\ +$\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ +\eq{ +S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber +} + +} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{J_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the soft form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft form factors at leading order: +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber +} + + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +% symmetries +\begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ +$\color{JungleGreen}{\Rrightarrow}$ There exist 4 symmetry transformations that leave the angular distributions unchanged: +\begin{tiny} +\eq{ +n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad +n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad +n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber +} +\end{tiny} +\begin{tiny} +\eq{ + n_i^{'} = U n_i= + \left[ + \begin{array}{ll} + e^{i\phi_L} & 0 \\ + 0 & e^{-i \phi_R} + \end{array} + \right] + \left[ + \begin{array}{rr} + \cos \theta & -\sin \theta \\ + \sin \theta & \cos \theta + \end{array} + \right] + \left[ + \begin{array}{rr} + \cosh i \tilde{\theta} & -\sinh i \tilde{\theta} \\ + - \sinh i \tilde{\theta} & \cosh i \tilde{\theta} + \end{array} + \right] + n_i \,. + \label{symmassless}\nonumber} +\end{tiny} +$\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be written as: +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +\backupend +\end{document} + + + + + + + diff --git a/KPS_2017/mchrzasz.toc b/KPS_2017/mchrzasz.toc new file mode 100644 index 0000000..baf3b21 --- /dev/null +++ b/KPS_2017/mchrzasz.toc @@ -0,0 +1,5 @@ +\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax +\defcounter {refsection}{0}\relax +\beamer@endinputifotherversion {3.36pt} +\defcounter {refsection}{0}\relax +\select@language {english} diff --git a/KPS_2017/mchrzasz2-blx.bib b/KPS_2017/mchrzasz2-blx.bib new file mode 100644 index 0000000..9e405b3 --- /dev/null +++ b/KPS_2017/mchrzasz2-blx.bib @@ -0,0 +1,11 @@ +@Comment{$ biblatex control file $} +@Comment{$ biblatex version 2.3 $} +Do not modify this file! + +This is an auxiliary file used by the 'biblatex' package. +This file may safely be deleted. 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CMS result in good agreement with SM, but consistent with our results.\\ \ARROW Some discussion on aspects of the CMS analysis ongoing.\\ -\ARROW Run2 data will confirm or disprove the anomaly (of course the nature of the anomaly is a different question). +\ARROW Run2 data will confirm or disprove the anomaly (of course the nature of the anomaly is a different question).\\ +\ARROW The corrected measurement of $Br(\PB \to \PKstar \Pmu \Pmu)$ \href{https://indico.cern.ch/event/627276/}{[see Kostas slides]} will increase the tension with SM further, will agree better with $Br(\PBs \to \Pphi \Pmu \Pmu)$ and $Br(\PB \to \PK \Pmu \Pmu)$ \end{frame} diff --git a/Lc2PMuMu/AandSWeek2017/mchrzasz.log b/Lc2PMuMu/AandSWeek2017/mchrzasz.log index f0594d9..7b730cf 100644 --- a/Lc2PMuMu/AandSWeek2017/mchrzasz.log +++ b/Lc2PMuMu/AandSWeek2017/mchrzasz.log @@ -1,4 +1,4 @@ -This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/Debian) (preloaded format=xelatex 2017.1.21) 1 APR 2017 13:45 +This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/Debian) (preloaded format=xelatex 2017.1.21) 5 APR 2017 10:48 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -2736,12 +2736,14 @@ File: images/EPFL2.pdf Graphic file (type QTm) -File: images/BG_lower.png Graphic file (type QTm) +Overfull \vbox (1.78421pt too high) detected at line 800 + [] +File: images/BG_lower.png Graphic file (type QTm) Overfull \vbox (19.18185pt too high) has occurred while \output is active [] -LaTeX Info: Redefining \HepProcess on input line 798. +LaTeX Info: Redefining \HepProcess on input line 800. [20 @@ -2751,7 +2753,7 @@ Overfull \vbox (19.18185pt too high) has occurred while \output is active [] -LaTeX Info: Redefining \HepProcess on input line 808. +LaTeX Info: Redefining \HepProcess on input line 810. [21 @@ -2765,11 +2767,11 @@ \tf@snm=\write12 \openout12 = `mchrzasz.snm'. -Package atveryend Info: Empty hook `BeforeClearDocument' on input line 812. -Package atveryend Info: Empty hook `AfterLastShipout' on input line 812. +Package atveryend Info: Empty hook `BeforeClearDocument' on input line 814. +Package atveryend Info: Empty hook `AfterLastShipout' on input line 814. (./mchrzasz.aux) -Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 812. -Package atveryend Info: Empty hook `AtEndAfterFileList' on input line 812. +Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 814. +Package atveryend Info: Empty hook `AtEndAfterFileList' on input line 814. LaTeX Font Warning: Some font shapes were not available, defaults substituted. @@ -2777,7 +2779,7 @@ Package logreq Info: Writing requests to 'mchrzasz.run.xml'. \openout1 = `mchrzasz.run.xml'. -Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 812. +Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 814. ) (\end occurred when \iftrue on line 210 was incomplete) Here is how much of TeX's memory you used: diff --git a/Lc2PMuMu/AandSWeek2017/mchrzasz.pdf b/Lc2PMuMu/AandSWeek2017/mchrzasz.pdf index d917ca6..773434f 100644 --- a/Lc2PMuMu/AandSWeek2017/mchrzasz.pdf +++ b/Lc2PMuMu/AandSWeek2017/mchrzasz.pdf Binary files differ diff --git a/Lc2PMuMu/AandSWeek2017/mchrzasz.tex b/Lc2PMuMu/AandSWeek2017/mchrzasz.tex index 2871756..fdece61 100644 --- a/Lc2PMuMu/AandSWeek2017/mchrzasz.tex +++ b/Lc2PMuMu/AandSWeek2017/mchrzasz.tex @@ -250,7 +250,7 @@ on behalf of the $\PLambdac \to \Pproton \Pmu \Pmu$ team:\\ \vspace{0.2em} T.Lesiak(IFJ, Krakow), B.Nowak(IFJ, Krakow), M.Witek (IFJ, Krakow), \\ -L.Pescatore(EPFL, Lousanne), M.Stamenkovic(EPFL, Lousanne), M.Martinelli(EPFL, Lousanne) +L.Pescatore(EPFL, Lausanne), M.Stamenkovic(EPFL, Lausanne), M.Martinelli(EPFL, Lausanne) \vspace{0.4em} @@ -281,7 +281,7 @@ \begin{frame}\frametitle{Yellow pages} \ARROW Review started on 31.03.2017.\\ -\ARROW Reviewers: Tom Blake, Harry Cliff\\ +\ARROW Reviewers: Tom Blake, Harry Cliff; many thanks for refereeing!\\ \ARROW Twiki:\\ \href{https://twiki.cern.ch/twiki/bin/view/LHCbPhysics/Lc2PMuMu}{https://twiki.cern.ch/twiki/bin/view/LHCbPhysics/Lc2PMuMu }\\ \ARROW The newest version of the ANA note:\\ @@ -783,7 +783,9 @@ \item and maybe more ideas? \end{itemize} \column{0.4\textwidth} +\ARROW Prompt:\\ \includegraphics[angle=-90,width=0.9\textwidth]{images/EPFL1.pdf}\\ +\ARROW Semileptonics:\\ \includegraphics[angle=-90,width=0.9\textwidth]{images/EPFL2.pdf} \end{columns}