% This program can be redistributed and/or modified under the terms
% of the GNU Public License, version 3.
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% Seth Brown, Ph.D.
% sethbrown@drbunsen.org
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% see the macros.tex file for definitions
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% title slide definition
\title{Updates on activities.}
%\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{ \today }
%--------------------------------------------------------------------
%                           Introduction
%--------------------------------------------------------------------
 
\begin{document}
 
 
 
 
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%--------------------------------------------------------------------
%                          OUTLINE
%--------------------------------------------------------------------
 
 
 
 
\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}
 
 
 
 
%-------------------------------------------------------------------
%                          Introduction
%-------------------------------------------------------------------
%
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\title{Update on analysis}
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{ $\tau \to 3 \mu$ }
\begin{frame}\frametitle{Clarifies wars -> the end}
\only<1>
{
\begin{enumerate}
 
\item Since Paul also wanted to have the shot with his TMVA clasifier we needed to rich the agreement on selection criteria.
\item We agrred to used MC signal vs data sidebads
\begin{columns}
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  \includegraphics[scale=0.23]{MVA/blend_data2012_roc_08_.png}
\column{2.5in}
  {~}
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\end{enumerate}
}
 
\
 
 
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
 
\begin{frame}\frametitle{Blending - HOW TO}
\only<1>
{
\begin{enumerate}
 
\item Take your MC signal(5 sources of $\tau$) and divide it in 3 pieces. Bck MC divide into 2.
\item Take $5 \times $ the first part of signal MC and 1/2 of bck adn train as much classifiers as you can. 
\item Mix with correct propotions the signal channels on 2/3 and 3/3 part and apply to them previously trained classifiers.
\item Take 2/3 of signal and 2/2 of bck and train using previously trained clarifies response and previously variables that you used for training.
\item the final classifier apply to 3/3 of signal which will be our unbiased sample for all the efficiency studies.
 
\end{enumerate}
}
 
 
 
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{Blending - HOW TO}
\only<1>
{
\begin{enumerate}
\item The response is made to be flat in terms of signal efficiency(as Bs2mumu)
\item This caused confusion if we changed the contribution behaviour.
\item Made cross check which flaten old MVA and nothing changed.
\end{enumerate}
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  \includegraphics[scale=0.2]{MVA/pid_0p49_0p56geo0p83_0p95.png}
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}
 
 
 
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{Why so good?}
\only<1>
{
\begin{enumerate}
\item Look how nice the BLEND looks like:
\end{enumerate}
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  \includegraphics[scale=0.28]{final2/MN_FLAT.png}\\
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}
 
 
 
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
 
\section{ $\PB \to \PKstar \mu \mu$ }
 
\begin{frame}\frametitle{Method of moments}
\only<1>
{
\begin{enumerate}
\item Lets start from from PDF:
\end{enumerate}
 
\begin{multline}
 PDF=\dfrac{9}{32\pi} S_{1s}sin^2 \theta_k + S_{1c}cos^2 \theta_k + (S_{2s}sin^2 \theta_k +  S_{2c}cos^2) cos 2\theta_l  +\\ J_3 sin^2 \theta_k sin^2 \theta_l cos2\phi + J_4 sin2 \theta_k sin \theta_l cos\phi + J_5 sin2 \theta_k sin \theta_l cos \phi + \\ (J_6s sin^2 \theta_k + J_6c cos^2 \theta_k) cos \theta_l + J_7 sin 2\theta_k sin \theta_l sin \phi + J_8 sin 2 \theta_k sin 2 \theta_l sin phi +\\ J_9 sin^2 \theta_k sin^2 \theta_l sin 2 \phi
\end{multline}
 
 
}
\begin{enumerate}
\item Now let's start calculate the moments:
\end{enumerate}
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
 
 
\begin{frame}\frametitle{Method of moments}
 
 
\begin{equation}
\int PDF sin^2 \theta_k sin^2 \theta_l cos2 \phi = \dfrac{8 J_3}{25}
\end{equation}
\begin{equation}
\int PDF sin2 \theta_k sin2 \theta_l cos \phi = \dfrac{8 J_4}{25} 
\end{equation}
\begin{equation}
\int PDF sin2 \theta_k sin2 \theta_l cos \phi = \dfrac{8 J_4}{25} 
\end{equation}
\begin{equation}
\int PDF sin2 \theta_k sin \theta_l cos \phi = \dfrac{2 J_5}{5} 
\end{equation}
\begin{equation}
\int PDF cos \theta_l  = J_{6c}/4 + J_{6s}/2 
\end{equation}
\begin{equation}
\int PDF sin 2\theta_k cos \theta_l  =0.1( J_{6c} + 4 J_{6s}) 
\end{equation}
	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
 
\begin{frame}\frametitle{Method of moments}
\only<1>
{
 
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	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
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\begin{frame}\frametitle{Method of moments}
\only<1>
{
 
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	\textref {M.Chrz\k{a}szcz, N.Serra 2014}
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\end{document}