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\title{Searches for New Physics with LHCb}
\author{Marcin Chrz\k{a}szcz}
\institute[Institute of Nuclear Physics]
{
University of Zurich,
\newline Institute of Nuclear Physics Krakow,
\newline on behalf of LHCb collaboration
\\{~}\\
}


\date{$29^{th}$ May 2014}

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



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\section[Outline]{}
\begin{frame}
\tableofcontents
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%-------------------------------------------------------------------
%                          Introduction
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{LHCb detector}

\begin{frame}\frametitle{LHCb detector}
\begin{columns}
\column{3.in}
\begin{center}
\includegraphics[width=0.98\textwidth]{det.jpg}
\end{center}

\column{2.1in}
\begin{footnotesize}

\begin{block}{}
        \circled{1} LHCb is a forward spectrometer:
        	\begin{itemize}
        	\item Excellent vertex resolution.
        	\item Efficient trigger.
        	\item High acceptance for $\Ptau$ and $\PB$.
        	\item Great Particle ID.
        	\end{itemize}	
        
                  
    \end{block}

\end{footnotesize}
\end{columns}

   \textref{M.Chrz\k{a}szcz 2014}
\end{frame}

\section{Lepton Flavour Violation}
\begin{frame}\frametitle{Lepton Flavour/Number Violation}
\begin{small}
 Lepton Flavour Violation(LFV):
\end{small}


\begin{footnotesize}

After $\Pmuon$ was discovered it was logical to think of it as an excited $\Pelectron$.
\begin{columns}
\column{3in}
\begin{itemize}
\item Expected: $B(\mu\to\Pe\gamma) \approx  10^{-4}$
\item Unless another $\Pnu$, in intermediate vector boson loop cancels. 
\end{itemize}
\column{2in}
{~}\includegraphics[width=0.98\textwidth]{rabi.png}

\end{columns}
\begin{columns}
\column{1in}
{~}
\column{3in}
\begin{block}{I.I.Rabi:}
"Who ordered that?"
\end{block}
\column{2in}
{~}\includegraphics[scale=0.08]{II_Rabi.jpg}

\end{columns}


\begin{itemize}
\item Up to this day charged LFV is being searched for in various decay modes.
\item LFV was already found in neutrino sector.
\end{itemize}
\end{footnotesize}


\begin{footnotesize}

\begin{columns}
\column{3.5in}
\begin{small}
 Lepton Number Violation (LNV)
\end{small}

\begin{itemize}
\item Even with LFV, lepton number is a conserved quantity. 
\item Many new thesis predict it violation(Majorana neutrinos)
\item Searched in so called Neutrinoless double $\beta$ decays.
\end{itemize}

\column{1.5in}
\includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png}

\end{columns}

\end{footnotesize}
%Double_beta_decay_feynman.png

   \textref{M.Chrz\k{a}szcz 2014}
\end{frame}


% \section{Lepton Number Violation}
\section{$\PB$ decays}
\subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
\begin{frame}%[t]
\frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}

\only<1>{
\begin{columns}\begin{column}{.5\textwidth}
on-shell neutrino

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

\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf}
\end{column}
}
\end{columns}
\begin{columns}
\begin{column}{.5\textwidth}
\begin{itemize}
\item resonant production in accessible mass range
\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
\item $m_4 = m_{\Plepton^{-},\Ppiplus}$
\end{itemize}
\end{column}
{
\begin{column}{.5\textwidth}
\begin{exampleblock}{Special for $\PB$ decays}
%\begin{itemize}
Diagram without mass restriction
 Cabbibo favoured for $\PB\to\PD$ 
 Analogous to double $\beta$ decay.
%\end{itemize}
\end{exampleblock}
\end{column}
}
\end{columns}
}
   \textref{M.Chrz\k{a}szcz 2014}
\end{frame}

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


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


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


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


 {@ 95\,\% CL}\hspace{.35\textwidth}
 {@ 95\,\% CL}
\\ Based on $0.41fb^{-1}${~}$7TeV$ data.

{~}

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

 {\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}}

\end{column}
\end{columns}

%LHCb, arXiv:1201.5600
%\includegraphics[width=.5\textwidth]{UpperAll}
   \textref{M.Chrz\k{a}szcz 2014}
\end{frame}

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

\begin{frame}[t]
\frametitle{On-shell Majorana neutrinos}
\begin{itemize}
\item Based on full data set${~}3fb^{1}$.
\item Cut based analysis.
\item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$.
\item Searched performed for two scenarios:
\begin{itemize}
\item Short life-time neutrinos: $\tau_4 <1ps$
\item Long life-time neutrinos: $\tau_4  \in (1,1000) ps$
\end{itemize}
\end{itemize}
\begin{columns}

\only<1>{
\includegraphics[width=\textwidth]{Figure2.png}
}

\end{columns}


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\begin{column}{8.5cm}

\includegraphics[width=\textwidth]{Figure3.png}

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%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}

\begin{column}{4cm}
\hspace{.4cm}


 {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}}

\end{column}
\end{columns}


 \textref{M.Chrz\k{a}szcz 2014}
\end{frame}



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

\begin{frame}[t]
\frametitle{On-shell Majorana neutrinos}
{~}\\
\begin{columns}
\column{2.in}
\includegraphics[width=\textwidth]{Figure5.png}\\
\includegraphics[width=\textwidth]{Figure6.png}\\


\column{3.0in}
\begin{small}
\begin{itemize}
\item In absence of signal UL. were set.
\item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$.
\item Limits also set for the coupling $| V_{\mu 4} |^2$ 
\end{itemize}
{~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar }      \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$
\end{small}
\end{columns}
 \textref{M.Chrz\k{a}szcz 2014}
\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
\frametitle{Summary on LNV in $\PB$ decays}
\vspace{0.5cm}
\begin{columns}
\begin{column}{.65\textwidth}
\begin{footnotesize}
\begin{tabular}{lclr}
channel & limit & & \\\hline
 $\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $     &  $<2.3\times 10^{-8}$     &  @$90\,\%$ CL       &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\
 $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $     &  $<3.0\times 10^{-8}$     &  @$90\,\%$ CL       &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\
 $\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $    &  $<2.8\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\
 $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $    &  $<2.6\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $     &  $<2.6\times 10^{-6}$     &  @$90\,\%$ CL       & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $     &  $<1.8\times 10^{-6}$     &  @$90\,\%$ CL       & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\
$\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$     &  $<1.3\times 10^{-8}$    &   @$95\,\%$ CL      & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\
 $\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $     &  $<5.4\times 10^{-7}$     &  @$95\,\%$ CL       &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\
 %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $    &  $<4.4\times 10^{-6}$    & @$90\,\%$ CL   & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $    &  $<5.0\times 10^{-6}$    & @$90\,\%$ CL   & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $     &  $<6.9\times 10^{-7}$     &  @$95\,\%$ CL       & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$     &  $<2.4\times 10^{-6}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$     &  $<5.8\times 10^{-7}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
 $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$     &  $<1.5\times 10^{-6}$    &   @$95\,\%$ CL      &  \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
\hline
\end{tabular}  %pic/LHCb_logo.jpg
\end{footnotesize}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2014}
\end{frame}


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

\subsection{$\PB\to \Plepton^{+}\Plepton^{-}$}
\begin{frame}%[t]
\frametitle{$\PB\to \Plepton^{+}\Plepton^{-}$ 1}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\begin{footnotesize}
\begin{columns}

\column{3in}

\begin{itemize}
\item A separate physics interest are LFV $\PB$ decays. 
\item Predicted by various NP models: lepto-quarks, SUSY, GUT.
\item Analysis based on $1fb^{-1}$ 2011 data. 
\item Analogues to our  $\PBs \to \mu \mu$ analysis(Phys. Rev. Lett. 110, 021801 (2013))
\end{itemize}



\column{2in}
\includegraphics[width=\textwidth]{blind.png}\\
\end{columns}

\begin{enumerate}
\item Loose reselection based on topology and PID.
\item Classifier trained on MC signal and $b\bar{b} \to \Plepton \Plepton X$
\item Calibration channel: $\PBzero_{(s)} \to h^+ h^{'-}$
\item Normalization Channel: $\PBzero \to \PKplus \Ppiminus$
\item CLs method for limit extraction.
\end{enumerate}
\end{footnotesize}   



\begin{columns}
\begin{column}{6.5cm}
\end{column}
\begin{column}{1.5cm}
%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}
\begin{column}{4cm}
\hspace{.4cm}
 {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.141801}{\texttt{Phys. Rev. Lett. 111, 141801 (2013) }}}}

\end{column}
\end{columns}
	\textref{M.Chrz\k{a}szcz 2014}
\end{frame}

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



\begin{frame}%[t]
\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ 2}
\begin{footnotesize}
\begin{columns}

\column{3.1in}

\begin{itemize}
\item Correction to MC and DATA discrepancies.
\item Excellent proxy: $\PBzero_{(s)} \to h h'$.
\item Fit each BDT bin for $\PBzero_{(s)} \to h h'$ and extract number of events.
\item Correct MC efficiency for each bin.
\item Electron Bremsstrahlung corrected on $\PJpsi \to \Pe \Pe$.
\end{itemize}

\column{1.9in}
\includegraphics[width=\textwidth]{Fig4a-supp.pdf}\\
\end{columns}
\begin{columns}

\column{2.3in}
%\includegraphics[width=\textwidth]{ClsB.png}\\
\includegraphics[width=\textwidth]{CLS2.png}\\
\column{3.1in}
%\includegraphics[width=\textwidth]{Fig1a-supp.pdf}\\
\begin{tabular}{ c | c | c }
 {~} &  $Br(\PB \to \Pe \Pmu)$ & $Br(\PB_s \to \Pe \Pmu)$ \\ 
 {~} & \at~$ 90(95)\% CL$ & at~$90(95)\% CL$ \\ \hline
\textcolor{blue}{Expected} & \textcolor{blue}{$4.0(5.0)\times 10^{-9}$}&   \textcolor{blue}{$1.5(2.0)\times 10^{-8}$} \\ 
\textcolor{red}{Observed} &   \textcolor{red}{$2.8(3.7)\times 10^{-9}$}&   \textcolor{red}{$1.1(1.4)\times 10^{-8}$} \\

\end{tabular}


\end{columns}


\end{footnotesize}   
	\textref{M.Chrz\k{a}szcz 2014}
\end{frame}

%%%%%%%%%%
\begin{frame}%[t]
\frametitle{$\PB_{(s)} \to \Plepton^{+}\Plepton^{-}$ Implications}
\begin{footnotesize}
\begin{itemize}
\item LHCb limits exceeds previous CDF by $20$ times.
\item CDF implications to lepto-quarks mass\footnote{Theoretical formula Phys. Rev. D 50 (1994) 6843}.
\begin{itemize}
\item $m_{LQ}(\PBs \to \Pe \Pmu) >47.8(44.9) TeV$ \@ $90(95\%)$ \at CL.
\item $m_{LQ}(\PBzero \to \Pe \Pmu) >59.3(56.3) TeV$ \@ $90(95\%)$ \at CL.

\end{itemize}
\end{itemize}

\begin{center}
\begin{columns}
\column{0.4in}
{~}
\column{1.85in}
\includegraphics[width=\textwidth]{Fig2a-supp.pdf}\\
\column{0.2in}
{~}
\column{1.85in}
\includegraphics[width=\textwidth]{Fig2b-supp.pdf}\\
\column{0.4in}
{~}
\end{columns}

\end{center}
LHCb  limits:
\begin{itemize}
\item $m_{LQ}(\PBs \to \Pe \Pmu) >107(101) TeV$ \@ $90(95\%)$ \at CL.
\item $m_{LQ}(\PBzero \to \Pe \Pmu) >135(126) TeV$ \@ $90(95\%)$ \at CL.

\end{itemize}

\end{footnotesize}   
	\textref{M.Chrz\k{a}szcz 2014}
\end{frame}








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






%\section{Lepton Flavour Violation}
\section{$\tau$ decays}


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




\frametitle{$\Ptau \to \mu \mu \mu$}

\only<1>{



\begin{center}
\begin{columns}
\column{3in}
\begin{block}{}
		\circled{1} In SM small   $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $    \\
	    \circled{2} NP can enhance  $\mathcal{B}$.  \\			
        \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\
        \circled{4} Current limits:
\end{block}
\column{2in}
\includegraphics[width=\textwidth]{tau23mu.png}\\


\end{columns}


        \begin{center}
              \begin{tabular}{| l | l |}
	\hline   Experiment & $90\%$ CL limit \\      
	\hline           
  	\hline   BaBar & $3.3 \times 10^{-8}$ \\              
   	\hline   Belle & $2.1 \times 10^{-8}$ \\   	
   	\hline
\end{tabular} 
\end{center}
\begin{block}{}
	\circled{5} Can a hadron collider change the picture? \\
\end{block}






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

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

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


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



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


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

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



\end{columns}


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

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

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

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


\begin{frame}
\frametitle{Signal likelihoods}
\begin{columns}\begin{column}{.48\textwidth}
\begin{block}{particle identification}
\begin{itemize}
\item hits in muon chambers
\item energy in calorimeters
\begin{itemize}
\item compatible with MIP
\end{itemize}
\item RICH response
\end{itemize}
\end{block}
\begin{exampleblock}{Calibration}
$\PJpsi\to\APmuon\Pmuon$
\end{exampleblock}
\includegraphics[width=\textwidth]{Fig4b.png}
\end{column}

\begin{column}{.48\textwidth}

\begin{block}{3 body decay likelihood}
\begin{itemize}
\item vertex properties
\begin{itemize}
\item vertex fit, pointing
\end{itemize}
\item track quality
\item isolation
\end{itemize}
\end{block}
\begin{exampleblock}{Calibration}
$\PDs\to\Pphi\Ppi$
\end{exampleblock}
\includegraphics[width=\textwidth]{Fig4a.png}
\end{column}

\end{columns}





\textref{M.Chrz\k{a}szcz 2014}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \underbrace{•}


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


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

\end{itemize}
\end{block}
Signal efficiency in 3-BODY BDT vs PID BDT plane.
\end{column}
\begin{column}{.2\textwidth}



\end{column}

\end{columns}
\begin{columns}
\begin{column}{.48\textwidth}
%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
\only{\includegraphics[width=\textwidth]{FIG6.png}}
\end{column}
\begin{column}{.48\textwidth}
%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
\only{\includegraphics[width=\textwidth]{Fig2a.png}}
\end{column}

\end{columns}
\textref{M.Chrz\k{a}szcz 2014}

\end{frame}




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

\vspace{1.0cm}

\begin{tabular}{|l|l|l|l|}
\hline
          &   \text{observed}   &  \text{expected} & \text{CL} \\
\hline
$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$  & $8.0\times 10 ^{-8}$ & $8.3\times 10^{-8}$  & $90\%$\\
          &   $  9.8\times 10 ^{-8}$ & $10.2\times 10^{-8}$  & $95\%$ \\ 
\hline
\end{tabular}



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

 {\footnotesize{\href{http://www.sciencedirect.com/science/article/pii/S0370269313004450}{\texttt{PLB 724 (2013) 36-45 }}}}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
\includegraphics[width=0.8\textwidth]{Fig3a.png}
\end{column}
\begin{column}{.04\textwidth}

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


\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2014}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
\frametitle{Summary}
\begin{itemize}
\item LFV and LNV processes are doing very well in LHCb.
\item Lots of best limits already in our hands.
\item Keep tune, lots of new results are coming very soon.
\end{itemize}


\textref{M.Chrz\k{a}szcz 2014}

\end{frame}






\end{document}