% This program can be redistributed and/or modified under the terms
% of the GNU Public License, version 3.
%
% Seth Brown, Ph.D.
% sethbrown@drbunsen.org
%
% Compiled with XeLaTeX
% Dependencies:
%   Fontin Sans font (http://www.exljbris.com/fontinsans.html)
%
\documentclass{beamer}
\usepackage{pgf}
\usepackage{times}
\usepackage[T1]{fontenc}
%\usepackage[mathscr]{eucal}
%\usepackage{mathptmx}
%\usepackage{mathrsfs}
\usepackage{hyperref}
% \usepackage{pgfpagfes}
% \setbeameroption{show notes on second screen}
%\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape]
\usepackage{xcolor}
%\usepackage[dvipsnames]{xcolor}
%\usepackage{amsfonts}
%\usepackage{amsmath}
% \usepackage[amssymb]{SIunits}
%\usepackage{natbib}
%\usepackage{amssymb}
\usepackage{hepparticles}
\usepackage{hepnicenames}
\usepackage{hepunits}
\usepackage{tikz}
\usepackage[polish]{babel}
%\usepackage{lmodern}
\usepackage{feynmp}
% suppress navigation bar
\beamertemplatenavigationsymbolsempty
\usepackage[mathscr]{eucal}
\usepackage{mathrsfs}
\mode<presentation>
{
  \usetheme{bunsen}
  \setbeamercovered{transparent}
  \setbeamertemplate{items}[circle]
}

% set fonts
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage{verbatim}

\usetikzlibrary{arrows}
\usetikzlibrary{shapes}

%\usepackage{gfsartemisia-euler}
%\usepackage[T1]{fontenc}
\setbeamerfont{frametitle}{size=\LARGE,series=\bfseries}
\tikzstyle{decision} = [diamond, draw, fill=gray!20, 
    text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
\tikzstyle{block} = [rectangle, draw, fill=blue!10, 
    text width=5em, text centered, rounded corners, minimum height=2em]
\tikzstyle{line} = [draw, -latex']
\tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm,
    minimum height=2em]

\tikzstyle{every picture}+=[remember picture]


\renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}}
% color definitions
\usepackage{color}
\definecolor{uipoppy}{RGB}{225, 64, 5}
\definecolor{uipaleblue}{RGB}{96,123,139}
\definecolor{uiblack}{RGB}{0, 0, 0}

% caption styling
%\DeclareCaptionFont{uiblack}{\color{uiblack}}
%\DeclareCaptionFont{uipoppy}{\color{uipoppy}}
%\captionsetup{labelfont={uipoppy},textfont=uiblack}

% see the macros.tex file for definitions
\include{macros}

% title slide definition
\title{Search for LFV and LNV decays at LHCb}
\author{Marcin Chrz\k{a}szcz}
\institute[Institute of Nuclear Physics]
{
Institute of Nuclear Physics,
\newline Polish Academy of Science,
\newline on behalf of LHCb collaboration
}



\date{\today}

%--------------------------------------------------------------------
%                           Introduction
%--------------------------------------------------------------------

\begin{document}



\setbeamertemplate{background}
{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}}
\setbeamertemplate{footline}[default]

\begin{frame}
\vspace{1.5cm}
\begin{columns}
\column{2.75in}
  \titlepage
  \vspace{0.8cm}
  \begin{center}
    \includegraphics[height=1.0cm,keepaspectratio ]{pic/ifj.png}
   \hspace{1cm}
   \includegraphics[height=1.0cm]{pic/LHCb_logo.jpg}
   \end{center}
  \vspace{10cm}
\column{2.0in}
\end{columns}
\end{frame}

%--------------------------------------------------------------------
%                          OUTLINE
%--------------------------------------------------------------------




\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}







%-------------------------------------------------------------------
%                          Introduction
%-------------------------------------------------------------------
%
% Set the background for the rest of the slides.
% Insert infoline
\setbeamertemplate{background}
 {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
\setbeamertemplate{footline}[bunsentheme]




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\setbeamertemplate{background}
 {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
\setbeamertemplate{footline}[bunsentheme]

\section{Lepton Number Violation}
\subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
\begin{frame}%[t]
\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
}
\only<2>{
\begin{columns}\begin{column}{.5\textwidth}
on-shell neutrino

\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf}
\end{column}
{\begin{column}{.45\textwidth}
virtual neutrino

\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf}
\end{column}
}
\end{columns}
\begin{columns}
\begin{column}{.5\textwidth}
\begin{itemize}
\item resonant production in accessible mass range
\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
\item $m_4 = m_{\Plepton^{-},\Ppiplus}$
\end{itemize}
\end{column}
{
\begin{column}{.5\textwidth}
\begin{exampleblock}{special for $\PB$ decays}
%\begin{itemize}
diagram without mass restriction
 Cabbibo favoured for $\PB\to\PD$ 
%\end{itemize}
\end{exampleblock}
\end{column}
}
\end{columns}
}
   \textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setbeamertemplate{background}
 {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
\setbeamertemplate{footline}[bunsentheme]


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{virtual Majorana neutrinos}


\begin{columns}
\only<1>{
\begin{column}{.78\textwidth}
\begin{block}{}
%\begin{itemize}
 $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$
%\end{itemize}
\includegraphics[width=\textwidth]{pic/MassFitDp_.pdf}
\end{block}
\end{column}
}


\end{columns}
\only<1>{{
{~}


$\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$
}}


 {@ 95\,\% CL}\hspace{.35\textwidth}
 {@ 95\,\% CL}

{~}

\begin{columns}
\begin{column}{6.5cm}
\end{column}
\begin{column}{1.5cm}
\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}
\begin{column}{4cm}
\hspace{.4cm}

$\unit{0.41}{\reciprocal\femtobarn}$

 {\footnotesize{\href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}

\end{column}
\end{columns}

%LHCb, arXiv:1201.5600
%\includegraphics[width=.5\textwidth]{UpperAll}
   \textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




\begin{frame}[t]
\frametitle{on-shell Majorana neutrinos}

\begin{itemize}
%\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus
%\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$
\item mis-identification rates from data with mass shape from simulation
\end{itemize}
\begin{columns}

\only<1>{
\begin{column}{.72\textwidth}
\begin{block}{}
$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$
\only<1>{\includegraphics[width=.44\textwidth]{pic/MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{pic/MassFitDs_}}
\end{block}
\end{column}
}

\end{columns}


\only<1>{{
{~}

assuming $\PBminus$ phase space decay:

$\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$
}}

 {@ 95\,\% CL}\hspace{.35\textwidth}
 {@ 95\,\% CL}
\begin{columns}
\begin{column}{6.5cm}
\end{column}
\begin{column}{1.5cm}
\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}
\begin{column}{4cm}
\hspace{.4cm}

$\unit{0.41}{\reciprocal\femtobarn}$

 {\footnotesize{\href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}

\end{column}
\end{columns}


%LHCb, arXiv:1201.5600
%\includegraphics[width=.5\textwidth]{UpperAll}
 \textref{M.Chrz\k{a}szcz 2012}
\end{frame}

\begin{frame}
\frametitle{implications on Majorana mass}
\begin{exampleblock}{mass spectrum}
Determine limit as function of $h^{+}\Pmuon$ mass
\end{exampleblock}
{\begin{center}
$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$

{~}

\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}}

\begin{columns}
\begin{column}{6.5cm}
\end{column}
\begin{column}{1.2cm}
\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}
\begin{column}{4cm}
\hspace{.4cm}

$\unit{0.41}{\reciprocal\femtobarn}$

 {\footnotesize{\href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}

\end{column}
\end{columns}

      \textref{M.Chrz\k{a}szcz 2012}
\end{frame}

\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$}
%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb
\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
\begin{columns}\begin{column}{.5\textwidth}
\includegraphics[width=\textwidth]{./B-Majorana3}
\end{column}
\end{columns}
\begin{itemize}
\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\href{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}}
%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$
\item $m_4=m(\Ppiplus\Pmuon)$
\item[+] enhanced by $\PW$ couplings
\item[-] smaller mass range accessible ($\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$)
\item first performed at LHCb
\end{itemize}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}


\begin{frame}
\frametitle{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}

\includegraphics[width=.47\textwidth]{./MassFitD0}\includegraphics[width=.47\textwidth]{./UpperThreeBody}

{~}
\begin{columns}
\begin{column}{.8\textwidth}
\hspace{.1\textwidth} $\mathcal{B}(\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon)<1.5\times 10^{-6}$ @$95\,\%$ CL \footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}
\smallskip

\hspace{.1\textwidth} Less restrictive than $\PBminus\to\Ppiplus\Pmuon\Pmuon$ on $|V_{\mu 4}|^2$
\end{column}
\begin{column}{.2\textwidth}
\includegraphics[width=1.3cm]{pic/LHCb_logo.jpg}
\end{column}
\end{columns}

\textref{M.Chrz\k{a}szcz 2012}
\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Lepton Flavour Violation}
\begin{frame}
\begin{center}
{\Huge{Lepton Flavour Violation}}

{~}
\begin{block}{}
        \circled{1} $\Ptauon\to\Pmuon\Pmuon\APmuon$ \\
        \circled{2} $\Ptauon\to\APproton\Pmuon\APmuon$       
    \end{block}

\end{center}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$}
\begin{frame}\frametitle{Curent status}


\frametitle{LFV in $\Ptauon$ sector}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\Ptauon\to\Pmuon\Pmuon\APmuon$}
}
\only<2>{



\begin{center}
\begin{block}{}
		\circled{1} In SM small   $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $    \\
	    \circled{2} NP can enhance  $\mathcal{B}$.  \\			
        \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\
        \circled{4} Current limits:
        \begin{center}
              \begin{tabular}{| l | l |}
	\hline   Experiment & $90\%$ CL limit \\      
	\hline           
  	\hline   BaBar & $3.3 \times 10^{-8}$ \\              
   	\hline   Belle & $2.1 \times 10^{-8}$ \\   	
   	\hline
\end{tabular} 
\end{center}
	\circled{5} Can a hadron collider change the picture? \\
\end{block}







\end{center}
}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}\frametitle{Analysis aproach}
\begin{columns}
\column{2.5in}
$\mathcal{B}$ factories


\column{2.5in}
LHCb



\end{columns}
\begin{columns}
\column{2.5in}


\begin{block}{}
		\circled{1} Clean signal: $\APelectron\Pelectron\to\APtauon\Ptauon$    \\
		\circled{2} Claculate the trust axis   \\
		\circled{3} Semi tag the other tag    \\
\end{block}
\column{2.5in}

\begin{block}{}
		\circled{1} Inclusive $\tau$ cross section: \newline $79.5\pm\unit{8.3}{\micro\barn}$.   \\
		\circled{2} $8 \times 10^{10} \tau$ produced. \\
		\circled{3} Dominant contribution: \newline $\PDs\to\Ptau\Pnut$ ($78\%$)   \\
		\circled{4} No tag possible.   \\
\end{block}



\end{columns}


\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

\begin{frame}
\frametitle{Strategy}
\begin{columns}
\begin{column}{.5\textwidth}
\begin{itemize}
\item Loose cut based selection
\item Classification in 3D space:
\begin{itemize}
\item invariant mass
\item decay topology\newline (multivariate)
\item particle identification\newline (multivariate)
\end{itemize}
\item Classifier trained on simulation
\item Calibration with control channel
\item Normalisation with $\PDs$
\item CLs method to extract the result
\end{itemize}
\end{column}
\begin{column}{.5\textwidth}

\begin{block}{Signal \& Calibration \& Background channel}
\includegraphics[width=.7\textwidth]{topos}
\newline
\includegraphics[width=.7\textwidth]{topob2.png}
\end{block}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5


\begin{frame}
\frametitle{signal likelihoods}
\begin{columns}\begin{column}{.48\textwidth}
\begin{block}{particle identification}
\begin{itemize}
\item hits in muon chambers
\item energy in calorimeters
\begin{itemize}
\item compatible with MIP
\end{itemize}
\item RICH response
\end{itemize}
\end{block}
\begin{exampleblock}{Calibration}
$\PJpsi\to\APmuon\Pmuon$
\end{exampleblock}
\includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3}
\end{column}

\begin{column}{.48\textwidth}

\begin{block}{3 body decay likelihood}
\begin{itemize}
\item vertex properties
\begin{itemize}
\item vertex fit, pointing
\end{itemize}
\item track quality
\item isolation
\end{itemize}
\end{block}
\begin{exampleblock}{Calibration}
$\PDs\to\Pphi\Ppi$
\end{exampleblock}
\includegraphics[width=.88\textwidth]{./Fig1a_geobinning3}
\end{column}

\end{columns}





\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{frame}
\frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$}
\begin{block}{Produced $\tau$ leptons}
\vspace{-.3cm}
\begin{align*}
\mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)}    \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}}
\end{align*}
\end{block}
\begin{center}
\includegraphics[scale=0.3]{pic/LHCb_logo.jpg}\hspace{.5em}
\texttt{LHCb-CONF-2012-015}

\includegraphics[scale=0.3]{./Fig3a_mDs}

\end{center}

\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
\frametitle{Invariant mass}
\begin{columns}
\begin{column}{.8\textwidth}

\begin{itemize}
\item background estimation in sidebands
\item different signal likelihood inside signal region
\end{itemize}

\end{column}


\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
\includegraphics[width=\textwidth]{./masssim}
\end{column}
\begin{column}{.35\textwidth}
\begin{itemize}
\item mass resolution and mass scale calibrated on data
\end{itemize}
\end{column}
\end{columns}

\end{frame}

\begin{frame}
\frametitle{Signal likelihoods}
\begin{columns}
\begin{column}{.8\textwidth}
\begin{block}{combined signal distribution}
\begin{itemize}
\item events distributed over 25 likelihood bins
\item background estimate from mass sidebands
\end{itemize}
\end{block}
\end{column}
\begin{column}{.2\textwidth}



\end{column}

\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}}
\end{column}
\begin{column}{.35\textwidth}
\begin{itemize}
\item \textcolor{red}{11\,\% signal efficiency}
\item \textcolor{blue}{21\,\% signal efficiency}
\item for illustration:\newline high likelihood range shown
\end{itemize}
\end{column}
\end{columns}

\end{frame}


\begin{frame}
\frametitle{Observed events}
\begin{columns}
\begin{column}{.5\textwidth}
%four best bins

\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf}
\end{column}
\begin{column}{.5\textwidth}
%four best bins

\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf}
\end{column}

\end{columns}
\begin{columns}
\begin{column}{.37\textwidth}
11\,\% of the signal

0.03\,\% of the background
\end{column}
\begin{column}{.13\textwidth}
\includegraphics[width=\textwidth]{./2d-data2_1st}
\end{column}
\begin{column}{.37\textwidth}
21\,\% of the signal

0.14\,\% of the background
\end{column}
\begin{column}{.13\textwidth}
\includegraphics[width=\textwidth]{./2d-data2_2nd}
\end{column}
\end{columns}
%\end{column}
%\begin{column}{.5\textwidth}
%%next four best bins
%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf}
%\begin{columns}
%\begin{column}{.9\textwidth}
%21\,\% of the signal
%
%0.14\,\% of the background
%\end{column}
%\begin{column}{.1\textwidth}
%\includegraphics[width=\textwidth]{./2d-data2_2nd}
%\end{column}
%\end{columns}
%\end{column}
%\end{columns}

{~}


\begin{columns}
\begin{column}{.65\textwidth}
\begin{description}
\item[\textcolor{red}{red dashed}] combinatorial background
\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$
\item[\textcolor{blue}{blue}] combined background
\end{description}
\end{column}

\begin{column}{.35\textwidth}
\includegraphics[width=.26\textwidth]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$

\texttt{LHCb-CONF-}\texttt{2012-015}

\end{column}
\end{columns}
%no excess observed

\end{frame}

\begin{frame}
\frametitle{Extracted limit}
\begin{columns}\begin{column}{.8\textwidth}

\vspace{1.0cm}

\begin{tabular}{|l|l|l|}
\hline
          &   \text{observed}   &  \text{expected} \\
\hline
$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ <\ & $6.3\times 10 ^{-8}$ & $8.2\times 10^{-8}$  \\
          &   $  7.8\times 10 ^{-8}$ & $9.9\times 10^{-8}$  \\ 
\hline
\end{tabular}



\end{column}
\begin{column}{.2\textwidth}
\includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$

\texttt{LHCb-CONF-} \texttt{2012-015}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf}
\end{column}
\begin{column}{.04\textwidth}

\end{column}
\begin{column}{.35\textwidth}


\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% tau2pmumu


\subsection{$\Ptauon\to\APproton\Pmuon\APmuon$}
\begin{frame}\frametitle{Curent status}


\frametitle{LFV in $\Ptauon$ sector}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\Ptauon\to\APproton\Pmuon\APmuon$}
}
\only<2>{
 \begin{block}
        
        \circled{1}  Search for baryon number violation processes so far unsuccessful, but must have occurred in the early universe \\
        \circled{2}  Decay fall into $\vert B -L \vert =0$ category, which is predicted by many NP models.\\
      \circled{3}  Similar decays $\Ptauon\to\PLambda\Plepton$, previous studied in $\mathcal{B}$ factories. \\
        \circled{4}  Two possible decay and new physics modes:  $\Ptauon\to\APproton\Pmuon\APmuon$, $\Ptauon\to\Pproton\Pmuon\APmuon$. \\
        \circled{5}  Analysis adopted from  $\Ptauon\to\Pmuon\Pmuon\APmuon$ \\
    \end{block}
}

\textref{M.Chrz\k{a}szcz 2012}
\end{frame}


\begin{frame}\frametitle{Curent status}


\frametitle{Differences}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}

\begin{columns}
\column{3.0in}
\begin{itemize}
\item Use the same $\mathcal{M}_{3body}$ BDT as for $\Ptauon\to\Pmuon\Pmuon\APmuon$
\item Insead of PID BDT use hard PID cut optimised on MC and Data.
\item Worse normalization factor, due to hard PID cuts.
\item Only combinatorical background expected.
\end{itemize}

\column{2in}

\includegraphics[scale=0.2]{mass_bins}
\newline \includegraphics[scale=0.2]{BDTbins_postPID_OS}
\newline \includegraphics[scale=0.2]{BDTbins_postPID_SS}
\end{columns}

\textref{M.Chrz\k{a}szcz 2012}
\end{frame}



\begin{frame}\frametitle{Backorund Fits}
\begin{center}
\only<1>{
\Large $\Ptauon\to\APproton\Pmuon\Pmuon$
\newline
\includegraphics[scale=0.22]{SS/geo0p4_0p7.png}
\includegraphics[scale=0.22]{SS/geo0p7_1p1.png}
}
\only<2>{

 \Large $\Ptauon\to\Pproton\Pmuon\APmuon$
\newline
 \includegraphics[scale=0.22]{OS/geo0p4_0p7.png}
 \includegraphics[scale=0.22]{OS/geo0p7_1p1.png}

}
\end{center}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}\frametitle{Limits on \textcolor{green}{$\Ptauon\to\APproton\Pmuon\APmuon$} and \textcolor{red}{$\Ptauon\to\Pproton\Pmuon\Pmuon$}}
\begin{center}
\includegraphics[scale=0.22]{OS_banan_un}
\includegraphics[scale=0.22]{SS_banan_un}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{tabular}{|l|l|l|}
\hline
 CLs         &   \text{Observed}   &  \text{expected} \\
\hline
\hline
$90\%$  & \textcolor{green}{$4.7 \times 10^{-7}$} \textcolor{red}{ $5.4 \times 10^{-7}$} & \textcolor{green}{$4.7 \times 10^{-7}$} \textcolor{red}{ $5.4 \times 10^{-7}$}  \\
\hline
$95\%$  & \textcolor{green}{$5.9 \times 10^{-7}$} \textcolor{red}{ $6.9 \times 10^{-7}$} & \textcolor{green}{$4.5 \times 10^{-7}$} \textcolor{red}{ $6.0 \times 10^{-7}$}  \\
\hline
\end{tabular}


\end{center}
\Large First time measured!!

\textref{M.Chrz\k{a}szcz 2012}
\end{frame}


\begin{frame}\frametitle{Summary}


{~}
\begin{block}{}
        \circled{1} LNV, LFV and BNV still hides before us. \\
        \circled{2} First measurements on $\tau$ physics on hadron coliders.\\
        \circled{3} LHCb caughting up $\mathcal{B}$ factories. \\
        \circled{4} $\mathcal{B}(\tau \to \Pproton \mu \mu)$ first time measured.
	

    \end{block}
 
\center Thank you for your attention.


%\center \Large Thank you for attention.
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}



\end{document}
