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\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{$29^{th}$ September 2012}
%--------------------------------------------------------------------
% Introduction
%--------------------------------------------------------------------
\begin{document}
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{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}}
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\begin{frame}
\vspace{1.1cm}
\begin{columns}
\column{2.75in}
\titlepage
\begin{center}
\includegraphics[height=1.0cm,keepaspectratio ]{pic/ifj.png}
\hspace{1cm}
\includegraphics[height=1.0cm]{pic/LHCb_logo.jpg}
\hspace{1cm}
\includegraphics[height=2.0cm]{CKM_logo.jpg}
\end{center}
\vspace{10cm}
\column{2.0in}
\end{columns}
\end{frame}
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% OUTLINE
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\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}
%-------------------------------------------------------------------
% Introduction
%-------------------------------------------------------------------
%
% Set the background for the rest of the slides.
% Insert infoline
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\begin{frame}\frametitle{Overview of $\PB$ and $\tau$ decays at LHCb}
{~}
\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 LNF decays).
\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 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>{
\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 $\PB\to\PD$
Analogous to double $\beta$ decay.
%\end{itemize}
\end{exampleblock}
\end{column}
}
\end{columns}
}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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{\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}
{\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 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}
{\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 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}
{\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}}
\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{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
\begin{columns}
\column{2.5in}
\includegraphics[scale=0.27]{./UpperThreeBody}
\newline \includegraphics[scale=0.27]{./MassFitD0}
\column{2.5in}
\includegraphics[scale=0.28]{vmu4mod.pdf}
\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}}}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}
\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 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Lepton Flavour Violation}
\section{$\tau$ decays}
\begin{frame}\frametitle{$\tau$ 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{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 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=.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{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 $\mathcal{B}(\tau \to \Pproton \mu \mu)$ .
\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}
mchrzasz