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% Seth Brown, Ph.D.
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% see the macros.tex file for definitions
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% title slide definition
\title{Updates on $\tau \to 3 \mu$}
%\subtitle{a bias report}
\author{ Marcin Chrz\k{a}szcz$^{1,2}$ ,  Nicola Serra$^{1}$ }
\institute[UTH, IFJ]
{
 %\begin{tiny}
$ ^1$ University of Zurich , $ ^2$ Institute of Nuclear Physics, Krakow,  
 %\end{tiny}smallsmall
}
  

\date{ \begin{small} $21^{th}$ August 2013 \end{small}}

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

\begin{document}




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




\section[Outline]{}
\begin{frame}
\tableofcontents
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%-------------------------------------------------------------------
%                          Introduction
%-------------------------------------------------------------------
%
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\title{Update on analysis}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%2>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Background sample size studies}
\begin{frame}\frametitle{How much $b\overline{b}/c\overline{c}$ bck we need.}
The idea is as follows: 
\begin{itemize}
\item Feasibility studies should be done separately on $b\overline{b}$ and $c\overline{c}$ due to different physics and difference in normalization $\sim5$
\end{itemize}

	\textref {M.Chrz\k{a}szcz, N.Serra 2013}

\end{frame}


\begin{frame}\frametitle{$b\overline{b}$ studies.}
\only<1>
{
\begin{itemize}
\item Take full sample of $c\overline{c} \sim 2.6pb^{-1}$
\item Scan the $b\overline{b}$ sample.
\end{itemize}
\begin{columns}
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\column{2.6in}
  \includegraphics[scale=0.23]{mc_mixing/ROC.png}

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\only<2>
{
\begin{itemize}
\item hmmm....
\item Plots look more statistical then a trend.
\item Let's look at the numbers.
\end{itemize} 

\begin{tiny}


\begin{tabular}{| l | c | c | c | c | c | c | c | c | c |}
\hline
Criteria & $18pb^{-1}$ & $16.2pb^{-1}$ & $14.4pb^{-1}$ & $12.6pb^{-1}$ & $10.8pb^{-1}$ & $9pb^{-1}$ & $7.2$ & $5.4$ & $0$     \\ \hline
 ROC $80\%$ & 78.92  & 78.58 & 78.80 & 78.68  & 78.72 & 78.69 & 78.51 & 78.57 & 78.36 \\ \hline
  ROC $50\%$ & 49.78 & 49.62 & 49.69 & 49.69 & 49.77 & 49.70 & 49.62 & 49.59 & 49.59 \\ \hline
  ROC $30\%$ & 29.95 &  29.89 & 29.91 & 29.93 & 29.96 & 29.88 & 29.89 & 29.88 & 29.87 \\ \hline
  Mean & 0.180 & 0.206 & 0.188 & 0.188 & 0.187 & 0.196 & 0.21 & 0.192 & 0.203 \\ \hline
RMS & 0.0765 &  0.0875 & 0.08021 & 0.0777 & 0.0782 & 0.0788 & 0.0859 & 0.0779 & 0.0723 \\ \hline \hline

\end{tabular}
 \end{tiny}


}
\only<3>
{

\begin{itemize}
\item Looks like from $7.2 pb^{-1}$ the BDT is only fluctuating.
\item We have 3 times more MC than we need.
\end{itemize}


  \includegraphics[scale=0.23]{mc_mixing/BDT.png}

}

	\textref {M.Chrz\k{a}szcz, N.Serra 2013}

\end{frame}









\end{document}