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% title slide definition
\title{$\Lambda_c \to p \mu \mu$ , $\Lambda_c \to \mu \mu \mu$}
%\subtitle{a bias report}
\author{\underline{Marcin Chrz\k{a}szcz}$^{1,2}$, Johannes Albrecht$^{3}$,  Tadeusz Lesiak$^{2}$, Oliver Grunberg$^{4}$}
\institute[UTH]
{
$ ^1$ University of Zurich \\
$ ^2$ Institute of Nuclear Physics, Krakow \\
$ ^3$ Technische Universitaet Dortmund \\
$ ^4$ University of Rostock \\
}


  

\date{$8^{th}$ May 2013}

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

\begin{document}




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




\section[Outline]{}
\begin{frame}
\tableofcontents
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%-------------------------------------------------------------------
%                          Introduction
%-------------------------------------------------------------------
%
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\title{Report on $\tau \to p \Plepton \Plepton$}


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\section{Motivation}
\begin{frame}\frametitle{Motivation}

\begin{small}
Following the success of $\tau \to 3 \mu$ and $\tau \to p \mu \mu$ (published 2 weeks ago) we decided to go one step further and analyse analogous channels for $\Lambda_c$.
\begin{itemize}
\item Decays have different physics motivations:
\end{itemize}
\begin{center}
    \begin{tabular}{ l | l }
 	   $\tau \to 3 \mu$ LFV & $\Lambda_c \to 3 \mu$ $|B-L|= 0$ \\
 	   $\tau^{+} \to p \mu^{-} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to p \mu^{-} \mu^{+} $  FCNC \\
       $\tau^{+} \to \bar{p} \mu^{+} \mu^{+} $ $|B-L|= 0$ & $\Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+} $  $|B-L|= 0$ \\ 	
    	
    \end{tabular}
\end{center}

\begin{itemize}
\item The current limits ($@$ 90\% CL):
\end{itemize}
$\mathcal{B}(  \Lambda_c^{+} \to p \mu^{-} \mu^{+}  ) < 4.4 \times 10^{-5}$, arXiv:1107.4465 
\newline
$\mathcal{B}(  \Lambda_c^{+} \to \bar{p} \mu^{+} \mu^{+}  ) < 9.4 \times 10^{-6}$ 
\newline
$\mathcal{B}(  \Lambda_c^{+} \to 3 \mu  )$ No constraints!
\end{small}

	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}

\section{Strategy}
\begin{frame}

\frametitle{Strategy}
{~}
Follow the strategy of $\tau$ analysis:
\begin{itemize}
\item Take prompt $\Lambda_c$, separate approach to SL.
\item Loose cut preselection.
\item Train MVA on MC prompt signal and recalibrate on data. 
\item Mass resolution we expect similar to $\tau$. $15 MeV$ for $3 \mu$ and $9 MeV$ for $p \mu \mu$. Mean recalibrated from data on $\Lambda_c^{+} \to p K^{-} \pi^{+}$.
\item Normalize to $\Lambda_c^{+} \to p K^{-} \pi^{+}$.
\item Optimise the binning in MVA.
\item CLs method for limit.
\end{itemize}  
	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}

\section{Comparison $\Lambda_c$ vs $\tau$}
\begin{frame}\frametitle{Comparison $\Lambda_c$ vs $\tau$}
\colorbox{green}{Strong sides of $\Lambda_c$:}


\begin{itemize}
\item {No SM background in $3 \mu$ case ($\PDs \to \eta(\mu\mu\gamma) \mu \nu$)}
\item {Smaller combinatorial background than in $\tau$ decays. \Simley{1} }
%\item {Better prospers of observing something. Rare is better than forbidden  \Simley{1} }
\end{itemize}

\colorbox{red}{Weaker sides of $\Lambda_c$:}
\begin{itemize}
\item {Smaller no. of $\Lambda_c$ than $\tau$ to begin with.}
\item {Need to study very carefully $\Lambda_c$ production and backgrounds. }
\Simley{-1}

\end{itemize}



	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}

\section{Work done so far}
\begin{frame}\frametitle{Work done so far}
\begin{itemize}
\item $\Lambda_c \to p \mu \mu$ is already stripped(line was with $\tau$ line all along).
\item $\Lambda_c \to 3\mu$ is being stripped in incremental stripping.
\item Requested 1M signal samples. Production will start next weak.
\item Background studies. (see backup slides).

\end{itemize}



	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}

\begin{frame}
\begin{LARGE}
Backup Slides
\end{LARGE}






\end{frame}



\subsection{}
\begin{frame}\frametitle{}

\includegraphics[scale=0.6]{pic/lambdaC_mass.png}
	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}



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	\textref {M.Chrz\k{a}szcz 2013}
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\begin{frame}\frametitle{}

\includegraphics[scale=0.45]{pic/peaking.png}
	\textref {M.Chrz\k{a}szcz 2013}
\end{frame}


\end{document}