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% title slide definition
\title{FCNF and L/BNV \\in $\Lambda_c$ decays}
%\subtitle{a bias report}
\author{ \underline{Marcin Chrz\k{a}szcz}$^{1,2}$, Johannes Albrecht$^{3}$,  Tadeusz Lesiak$^{2}$, Oliver Grunberg$^{4}$ }
\institute[UTH]
{
 %\begin{tiny}
$ ^1$ University of Zurich , $ ^2$ Institute of Nuclear Physics, Krakow,  $ ^3$ Technische Universitaet Dortmund, $ ^4$ University of Rostock 
 %\end{tiny}smallsmall
}
  

\date{ \begin{small} $15^{th}$ May 2013 \end{small}}

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

\begin{document}




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%--------------------------------------------------------------------
%                          OUTLINE
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\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.
\item Normalize to $\Lambda_c^{+} \to p K^{-} \pi^{+}$, or $\Lambda_c^{+} \to p \pi^{-} \pi^{+}$.
\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 today most likely.
\item Background studies.

\end{itemize}

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


\begin{frame}\frametitle{Possible background}

\begin{center}

    \begin{tabular}{| c | c | c |}
    	\hline
   \textbf{ Resonance} &  $\mathcal{B} (\lambda_c \to p X)$& $\mathcal{B} (X \to \mu \mu)$\\ \hline 
  
     $\eta$ & UNKNOWN & $(5.8 \pm 0.6) \times 10^{-6}$ \\ \hline
    	 $\rho^0$ & UNKNOWN & $(4.55 \pm 0.28) \times 10^{-5}$ \\ \hline	
	$\omega$ &	UNKNOWN &  $(9.1 \pm 3.0) \times 10^{-5}$ \\ \hline
 	 $f(980)$ & $(2.8 \pm 1.9) \times 10^{-3}$ & UNKNOWN \\ \hline	   
  	 $\phi$ & $(8.2 \pm 2.7) \times 10^{-4} $ & $(2.89 \pm 0.19) \times 10^{-4}$ \\ \hline		     	\hline
  	
   \textbf{ Resonance} & $\mathcal{B} (\lambda_c \to p X)$ & $\mathcal{B} (X \to \mu \mu \gamma)$\\ \hline 
    $\eta$ & UNKNOWN & $(3.1 \pm 0.4) \times 10^{-4}$ \\ \hline	
    \end{tabular}
\end{center}


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





\begin{frame}\frametitle{$\Lambda_c$ production mechanism}

\begin{center}

    \begin{tabular}{| c | c |}
    	\hline
   \textbf{ Process} &  $\mathcal{B} (X \to \lambda_c Y)$   \\ \hline 
      $\Lambda_B \to \Lambda_c^+ \pi^{-}$ & $0.0088 \pm 0.0032$ \\ \hline
      $\Lambda_B \to \Lambda_c^+ \Pl \nu$ & $0.05 \pm 0.014$ \\ \hline	   
   	  $\Lambda_B \to \Lambda_c^+ \Pl \nu \pi \pi $ & $0.056 \pm 0.031$ \\ \hline	   
   	  $B \to \Lambda_c^+ \Pp \pi \pi^0  $ & $(1.8 \pm 0.6) \times 10^{-3}$ \\ \hline	   		
      $B \to \Lambda_c^+ \Pp \pi \pi \pi  $ & $(2.3 \pm 0.7) \times 10^{-3}$ \\ \hline	  	  
   	  $B \to \Lambda_c^+ \Lambda_c^- K^+  $ & $(8.7 \pm 3.5) \times 10^{-4}$ \\ \hline	  	  
   	  $B \to \Sigma(2455) \Pproton \pi^0  $ & $(4.4 \pm 1.8) \times 10^{-4}$ \\ \hline	  	  
   	  $B \to \Sigma(2455) \Pproton \pi \pi   $ & $(4.4 \pm 1.7) \times 10^{-4}$ \\ \hline		
   	  $B \to \Sigma(2455)^{--} \Pproton \pi \pi   $ & $(2.8 \pm 1.2) \times 10^{-4}$ \\ \hline
   	\hline
    \end{tabular}
\end{center}


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












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\begin{LARGE}
Backup Slides
\textref {M.Chrz\k{a}szcz 2013}
\end{LARGE}






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

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



\begin{frame}\frametitle{}

\includegraphics[scale=0.6]{pic/comb.png}
	\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}
