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% Seth Brown, Ph.D.
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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{\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]
\section{Introduction}
\subsection{Detector}
\begin{frame}
\frametitle{LHCb detector}
\center \includegraphics[scale=0.8]{pic/detector_lhcb.jpg}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setbeamertemplate{background}
{\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
\setbeamertemplate{footline}[bunsentheme]
\subsection{Performance}
\begin{frame}
\frametitle{Luminosity}
\begin{columns}
\column{3.in}
\vspace{0.8cm}
\includegraphics[scale=0.2]{pic/lumi.png}
\column{2.0in}
\begin{itemize}
\item Exelent detector performance.
\item CM energy incresed to $ 8TeV $ $\rightarrow $ $ \sim 15\%$ more $b \overline{b}$ events.
\item Aiming to reach $3 fb^{-1}$ in 2012.
\end{itemize}
\end{columns}
\textref{M.Chrz\k{a}szcz 2012}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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}{Search for Majorana neutrinos at LHCb}
\begin{columns}
\begin{column}{.8\textwidth}
\begin{itemize}
\item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize}
%\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed
\item consider topology in reconstruction
\begin{itemize}
\item allow for flight distance for on-shell neutrinos
\item common vertex for virtual neutrinos
\end{itemize}
\end{itemize}
\end{column}
\begin{column}{.2\textwidth}
\includegraphics[width=2cm]{pic/LHCb_logo.jpg}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.42\textwidth}
\includegraphics[width=.7\textwidth]{pic/reco}
\end{column}
\begin{column}{.52\textwidth}
\includegraphics[width=.7\textwidth]{pic/reco2}
\end{column}
\end{columns}
\end{frame}
\textref{M.Chrz\k{a}szcz 2012}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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 extraction}
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}{ $5.4 \time 10^{-7}$} & \textcolor{green}{$4.7 \time 10^{-7}$} \textcolor{red}{ $5.4 \time 10^{-7}$} \\
\hline
$95\%$ & \textcolor{green}{$5.9 \times 10^{-7}$} \textcolor{red}{ $6.9 \time 10^{-7}$} & \textcolor{green}{$4.5 \time 10^{-7}$} \textcolor{red}{ $6.0 \time 10^{-7}$} \\
\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}
mchrzasz