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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}$^{1,2}$, Tadeusz Lesiak$^{1}$, Mariusz Witek$^{1}$ }
\institute[UTH]
{
 %\begin{tiny} 
 $ ^1$ Institute of Nuclear Physics, Krakow,\\
$ ^2$ University of Zurich 


 %\end{tiny}smallsmall
}
  

\date{ \begin{small} $12^{th}$ Feb 2014 \end{small}}

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

\begin{document}




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




\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}







%-------------------------------------------------------------------
%                          Introduction
%-------------------------------------------------------------------
%
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\title{Report on $\tau \to p \Plepton \Plepton$}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Motivation}
\begin{frame}\frametitle{Why to search for $\Lambda_c \to \Pproton \mu^{+} \mu^{-}$?}


\begin{itemize}
\item Decay of $\Lambda_c^+ \to \Pproton \mu^+ \mu^-$ is a FCNC.
\item Extremely suppressed in SM due to GIM mechanism. 
\item We will use the experience from $\tau \to \Pproton \mu \mu$.

\end{itemize}

\begin{columns}
\column{2.5in}
\begin{center}
\includegraphics[scale=0.18]{new/FCNC.png}
\end{center}
~$\mathcal{B}(  \Lambda_c^{+} \to p \mu^{-} \mu^{+}  ) < 4.4 \times 10^{-5}$\\
 ~ \@ 90\% CL arXiv:1107.4465 

\column{3.5in}
\includegraphics[scale=0.2]{babar.png}\\
Yield: $11.1 \pm 5.0 \pm 2.5$

\end{columns}

We should easily beat Babar.

	
\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 Calibrate on date.
\item Normalize to $\Lambda_c^{+} \to \Pproton K^{-} \pi^{+}$, $\Lambda_c^{+} \to  \Pproton \pi^{-} \pi^{+}$ or $\Lambda_c \to \Pproton \phi(\mu \mu)$.
\item Optimise the binning in MVA.
\item CLs method for limit.
\end{itemize}  

\end{frame}

\section{Normalization channel}
\begin{frame}\frametitle{Normalization channel}
\begin{itemize}
\item We have 3 candidates for normalization channel.
\begin{enumerate}
\item  $\Lambda_c \to \Pproton \phi(\mu \mu)$, $BR= (2.4 \pm 0.8) \times 10^{-7} $ 
\item $\Lambda_c^{+} \to \Pproton K^{-} \pi^{+}$, $BR= (5.0 \pm 1.3) \times 10^{-2} $ 
\item $\Lambda_c^{+} \to  \Pproton \pi^{-} \pi^{+}$, $BR= (3.5 \pm 2.0) \times 10^{-3} $
\end{enumerate}
From above list $\Lambda_c \to \Pproton \phi(\mu \mu)$ is a perfect candidate for normalization. 
However Br is a bit low.



\end{itemize}



	
\end{frame}



\begin{frame}\frametitle{First look in data I}
\begin{columns}

\column{2.6in}
\begin{itemize}
\item With some PID and vertex cuts we can see our  $\Lambda_c \to \Pproton \phi(\mu \mu)$
\item Back of the envelope calculations predict we should have 400 of those events in $3fb^{-1}$
\item A bit small for normalization.
\end{itemize}
\column{2.5in}
\includegraphics[scale=0.17]{new/Lc_mass_b.png}\\
\includegraphics[scale=0.17]{new/Lc_mass.png}

\end{columns}



	
\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}




	
\end{frame}



\begin{frame}\frametitle{First look in data II }
\begin{columns}

\column{2.6in}
\begin{itemize}
\item We also have looked at dimuon spectrum.
\item Clearly $\phi$, $\eta$, $\omega$ visible.
\item We also see in data $\Lambda_c \to \omega(\mu \mu) \Pproton$.
\end{itemize}
\column{2.5in}
\includegraphics[scale=0.12]{new/bck.png}\\


\end{columns}



	
\end{frame}

\section{MVA}
\begin{frame}\frametitle{Preliminary selection }

\begin{columns}
\column{2.5in}
~Stripping:
\begin{itemize}
\item PID($\mu$)>-5, PID($\Pproton$) >10
\item IPCHi2>9, PID($\mu -K$)>0, GHOST<0.3, PID($\Pproton$)>10, Pt>300
\item $\Delta m<150MeV$
\item $c\tau >100\mu m$
\item $IPChi2 < 225$
\end{itemize}
~Additional:
\begin{itemize}
\item Blind region $\vert m(p\mu\mu) - 2286.46 \vert <20 MeV$.
\item $\phi$, $\omega$ veto.
\end{itemize}
\column{3.5in}

\includegraphics[scale=0.18]{new/Lc_mass.png}\\





\includegraphics[scale=0.2]{new/blind.png}\\

\end{columns}



	
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%55



\begin{frame}\frametitle{Preliminary TMVA}
\begin{columns}

\column{2.8in}
\begin{itemize}
\item Variables adopted form $\tau \to 3\mu$(see Marta's talk).
\item In the future we will use Blending for the classifiers.
\item Already thanks to this BDTG we can pick up $\Lambda_c\ \to \omega(\mu\mu) \Pproton$.

\end{itemize}
\includegraphics[scale=0.2]{new/omega.png}
\column{2.5in}
\includegraphics[scale=0.2]{new/overtrain_BDTG.jpg}\\
\includegraphics[scale=0.2]{new/rejBvsS.jpg}

\end{columns}



\end{frame}


\section{Summary}
\begin{frame}\frametitle{Summary}

\begin{itemize}
\item Looks like we will have limits $\mathcal{O}(10^{-7})$ -  $\mathcal{O}(10^{-8})$
\item We already see a new $\Lambda_c \to \omega \Pproton$ decay!
\item Normalization channel is still open, but we are converging towards $\Lambda_c^{+} \to  \Pproton \pi^{-} \pi^{+}$
\item We have one tight cut on the stripping (flight distance), we are considering several solutions.

\end{itemize}


	
\end{frame}
\end{document}