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\title{Binning for mass}  
\author{Marcin Chrzaszcz}

\date{\today} 

\begin{document}

{
\institute{Institute of Nuclear Physics PAN}
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  \titlepage
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\institute{IFJ PAN}



%tutaj mamy pierwsza strone


\section[Outline]{}
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\tableofcontents
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\begin{frame}\frametitle{Some info}


\begin{block}{Assumptions}
\begin{itemize}
\item Tau Mass is gauss with mean and witdth form the note.
\item Backgound is flat.
\end{itemize}
\end{block}

We have no way to estimate the backgound without biasing. Also backgound changes from bin to bin which is also problematic. It's impossible to run optimisation in each bin(low statisics in high BDTs).
Flat background is the only assumtion that comes to my mind. 

\end{frame}

\begin{frame}\frametitle{LQ}

\includegraphics[scale=0.26]{mass2.png}

\end{frame}

\begin{frame}\frametitle{Comments}

\begin{itemize}
\item Moving from $3 \rightarrow 6$ bins improves result by $<2 \%$.
\item Optimum binning: 1763.4, 1767.4, 1772.4, 1784.4, 1789.4, 1793.4
\end{itemize}


\end{frame}
\begin{frame}\frametitle{Conclusions}

\begin{itemize}
\item Not much improvement in mass binning. The improvment is small becouse only signal is peaking. In BDT bck and signal is peaking in different places.
\item I would not use more than 6 mass bins. We won't get much and the limit calculation script will run even slower. 
\item From current binning we acan improve $0.5 \%$.
\item There is not big need to change this binning. If we change something else we can also modify this. 
\item Results consistent with $Bs \rightarrow \mu \mu$. 

\end{itemize}


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