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% 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
}


\date{$5^{th}$ November 2012}

%--------------------------------------------------------------------
%                           Introduction
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\begin{document}



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    \includegraphics[height=1.0cm,keepaspectratio ]{pic/ifj.png}
   \hspace{1cm}
   \includegraphics[height=1.0cm]{pic/LHCb_logo.jpg}
   \end{center}
  \vspace{10cm}
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%                          OUTLINE
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\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}







%-------------------------------------------------------------------
%                          Introduction
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% \section{Lepton Number Violation}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Overview}
\subsection{Majorana neutrinos}
\begin{frame}
\frametitle{LHCb in quest for Majorana neutrinos}
\vspace{0.5cm}
\begin{columns}
\begin{column}{.65\textwidth}
\begin{footnotesize}
\begin{tabular}{lclr}
channel & limit & & \\\hline
 $\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $     &  $<2.3\times 10^{-8}$     &  @$90\,\%$ CL       &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\
 $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $     &  $<3.0\times 10^{-8}$     &  @$90\,\%$ CL       &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\
 $\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $    &  $<2.8\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\
 $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $    &  $<2.6\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $     &  $<2.6\times 10^{-6}$     &  @$90\,\%$ CL       & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $     &  $<1.8\times 10^{-6}$     &  @$90\,\%$ CL       & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\
 $\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$     &  $<1.3\times 10^{-8}$    &   @$95\,\%$ CL      & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\
 $\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $     &  $<5.4\times 10^{-7}$     &  @$95\,\%$ CL       &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\
 %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $    &  $<4.4\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $    &  $<5.0\times 10^{-6}$    & @$90\,\%$ CL   & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $     &  $<6.9\times 10^{-7}$     &  @$95\,\%$ CL       & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$     &  $<2.4\times 10^{-6}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$     &  $<5.8\times 10^{-7}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$     &  $<1.5\times 10^{-6}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
\hline
\end{tabular}  %pic/LHCb_logo.jpg
\end{footnotesize}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

\subsection{$\tau$ physics @ LHCb}
\begin{frame}\frametitle{$\tau$ physics @ LHCb}

{~}  %$LNF decays
\begin{block}{}
        \circled{1} LHCb optimised for $\PB$ decays. \\
        	\begin{itemize}
        	\item Relatively low background.
        	\item Efficient trigger.
        	\item Analysis can be made using hard cuts(the case of previous slide analysis).
        	\end{itemize}	
        \circled{2} $\tau$ decays at LHCb.     
       	   	\begin{itemize}
        	\item Many $\tau$ killed by trigger.
        	\item Smaller cross section for production.
        	\item Need complicated analysis strategy.
        	\end{itemize}	  
                  
    \end{block}





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


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

%\section{Lepton Flavour Violation}
\section{$\tau$ decays}
\begin{frame}\frametitle{Studied $\tau$ decays}
\begin{center}
%{\Huge{$\tau$ decays}}

{~}
\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{Status of $\Ptauon\to\Pmuon\Pmuon\APmuon$}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}

\only<1>{



\begin{center}
\begin{block}{}
		\circled{1} In SM small   $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $, due to neutrino oscillations.    \\
	    \circled{2} NP can enhance  $\mathcal{B}$.  \\			
        \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\
        \circled{4} Current limits:
  
  \begin{columns}
\column{2.5in}

        \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}

\column{2.5in}

\includegraphics[scale=0.5]{pic_ifj/tau3mu_SM.pdf}


\end{columns}
  
	\circled{5} Can a hadron collider change the picture? \\
\end{block}







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

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

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


\column{2.5in}
LHCb, ($7 TeV$, 2011 data)



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


\begin{block}{}
		\circled{1} Clean signal: $\APelectron\Pelectron\to\APtauon\Ptauon$    \\
		\circled{2} Calculate the thrust axis   \\
		\circled{3} "Partial tag" the other $\tau$    \\
		\circled{4} Small cross section $0.919nb$     \\
\end{block}
\column{2.5in}

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



\end{columns}


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

\begin{frame}\frametitle{Where do we get our $\tau$.}


\begin{table}[hb]		

 \caption{Relative contributions to $\sigma(pp \rightarrow \tau X)$.\label{tab:reweighting}}	
%\footnotesize
	\begin{tabular}{|l|c|c|c|}
	\hline
	Decay chain & Gauss no DPC (\%)  & Calc (\%) & $w_{MC\rightarrow calc}$\\
	\hline
	\hline
	$D_{s} \rightarrow \tau$ & 72.3 $\pm$ 0.1 & 77.9 $\pm$ 4.7 & \\	
	$ \hspace{2mm} D_{s} \rightarrow \tau$ & 62.6 $\pm$ 0.2 & 67.8 $\pm$ 4.8 & 1.08 $\pm$ 0.08\\
	$ \hspace{2mm} B_{x} \rightarrow D_{s} \rightarrow \tau$ & 9.56 $\pm$ 0.07 & 10.1 $\pm$ 2.1 & 1.1 $\pm$ 0.2\\
	$D^{-} \rightarrow \tau$ & 2.08 $\pm$ 0.03 & 4.6 $\pm$ 4.4 & \\
	$ \hspace{2mm} D^{-} \rightarrow \tau$ & 1.90 $\pm$ 0.02 & 4.4 $\pm$ 4.2 & 2.3 $\pm$ 2.2\\
	$ \hspace{2mm} B_{x} \rightarrow D^{-} \rightarrow \tau$ & 0.18 $\pm$ 0.01 & 0.3 $\pm$ 0.3 & 1.5 $\pm$ 1.5\\
	$B_{x} \rightarrow \tau$ & 25.5 $\pm$ 0.1 & 17.5 $\pm$ 3.3 & 0.7 $\pm$ 0.1\\
	\hline
	\end{tabular}

\end{table}


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


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

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

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


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

\begin{frame}
\frametitle{Normalization channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$}
\begin{block}{Produced $\tau$ leptons}
\vspace{-.3cm}
\begin{align*}
\mathcal{B}(\tau\to\mu\mu\mu)=\underbrace{\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)}}_\text{$77.9\%$} \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
\item \textcolor{yellow}{Blinded window}
\item \textcolor{orange}{Mass window}
\item Mass resolution: $9.16 MeV$
\end{itemize}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}

\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}
Signal efficiency in 3-BODY BDT vs PID BDT plane.
\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}
\textref{M.Chrz\k{a}szcz 2012}

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

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

\vspace{1.0cm}

\begin{tabular}{|l|l|l|l|}
\hline
          &   \text{observed}   &  \text{expected} & \text{CL} \\
\hline
$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$  & $6.3\times 10 ^{-8}$ & $8.2\times 10^{-8}$  & $90\%$\\
          &   $  7.8\times 10 ^{-8}$ & $9.9\times 10^{-8}$  & $95\%$ \\ 
\hline
\end{tabular}



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

\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{LNV \& BNV in $\Ptauon$ sector}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\Ptauon\to\APproton\Pmuon\APmuon$}
\newline \Large{$\Ptauon\to\Pproton\Pmuon\Pmuon$}
}
\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 $\Ptauon \to \Lambda \Plepton^{-}$, previous studied in $\mathcal{B}$ factories. \\
        \circled{4}  Two possible decay and new physics modes:  $\Ptauon\to\APproton\Pmuon\APmuon$, $\Ptauon\to\Pproton\Pmuon\Pmuon$. \\
        \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{2.9in}
\begin{center}
 Mass distribution 
\newline \includegraphics[scale=0.18]{mass_bins}
\end{center}
\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{2.2in}
\vspace{0.4cm}
\begin{scriptsize}

 3-body BDT distribution for $\Ptauon\to\APproton\Pmuon\APmuon$
\newline \includegraphics[scale=0.22]{BDTbins_postPID_OS}
\newline 3-body BDT distributiion for $\Ptauon\to\Pproton\Pmuon\Pmuon$
\newline \includegraphics[scale=0.22]{BDTbins_postPID_SS}
\end{scriptsize}
\textref{M.Chrz\k{a}szcz 2012}

\end{columns}

\end{frame}



\begin{frame}\frametitle{Background Fits}
\begin{center}
\only<1>{
\Large $\Ptauon\to\Pproton\Pmuon\Pmuon$
\newline 
\begin{columns}
\column{2.5in}
\includegraphics[scale=0.22]{SS/geo0p4_0p7.png}
\small \newline 3-body BDT $(0.4,0.7)$
\column{2.5in}
\includegraphics[scale=0.22]{SS/geo0p7_1p1.png}
 \small \newline 3-body BDT $(0.7,1.0)$
\end{columns}
}
\only<2>{

 \Large $\Ptauon\to\APproton\Pmuon\APmuon$
\newline 
\begin{columns}
\column{2.5in}
 \includegraphics[scale=0.22]{OS/geo0p4_0p7.png}
 \small \newline 3-body BDT $(0.4,0.7)$
\column{2.5in}
 \includegraphics[scale=0.22]{OS/geo0p7_1p1.png}
 \small \newline 3-body BDT $(0.7,1.0)$
\end{columns}
}
\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}
\colorbox{green}{\includegraphics[scale=0.22]{OS_banan_un}}
\colorbox{red}{\includegraphics[scale=0.22]{SS_banan_un}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{tabular}{|l|l|l|}
\hline
 CL         &   \text{Observed}   &  \text{Expected} \\
\hline
\hline
$90\%$  & \textcolor{green}{$3.4 \times 10^{-7}$} \textcolor{red}{ $4.6 \times 10^{-7}$} & \textcolor{green}{$4.7 \times 10^{-7}$} \textcolor{red}{ $5.4 \times 10^{-7}$}  \\
\hline
$95\%$  & \textcolor{green}{$4.5 \times 10^{-7}$} \textcolor{red}{ $6.0 \times 10^{-7}$} & \textcolor{green}{$5.9 \times 10^{-7}$} \textcolor{red}{ $6.9 \times 10^{-7}$}  \\
\hline
\end{tabular}


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

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



\begin{frame}\frametitle{Going towards the paper}

\begin{Large} Possible improvements(work ongoing): \end{Large}
{~}
\begin{block}{}
        \circled{1} Cut background: $D_{s} \to \eta (\mu \mu \gamma) \mu \nu$ in Dalitz space.  \\
\begin{columns}\column{2.5in}
\center  \includegraphics[scale=0.2]{pic/MPL_ds_good_bins.png}
\column{2.5in}
\center \includegraphics[scale=0.2]{pic/MLP_tau_good_bins.png}

\end{columns}

        \circled{2} Improve binning optimisation using inner sidebands. \\
        \circled{3} Use bigger MC samples to reduce the systematics. \\

    \end{block}

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




\begin{frame}\frametitle{Summary}


{~}
\begin{block}{}
        \circled{1} LNV, LFV and BNV still hidden from us. \\
        \circled{2} First upper limits for $\tau$ LFV and LNV in hadron colliders. \\
        \circled{3} LHCb catching up $\mathcal{B}$ factories. \\
        \circled{4} First search for $\mathcal{B}(\tau \to \Pproton \mu \mu)$ . \\
	    \circled{5} Paper expected at the end of 2012.


    \end{block}
 
\begin{center} \center Thank you for your attention. \end{center}
\vspace{1.1cm}
% \begin{small} Work partially funded by the Polish Ministry of Science and Higher Education under the "Diamond Grant"  \end{small}
%\center \Large Thank you for attention.
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}

\begin{frame}


 \center \Huge{Backup Slides}


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











\end{document}
