\documentclass[]{beamer}
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\usepackage{latexsym}
\usepackage{hyperref}
 
 
%\usetheme{Boadilla}
 
%\beamersetuncovermixins{\opaqueness<1>{25}}{\opaqueness<2->{15}}
\title{Background Fits for $\tau \rightarrow \mu \mu \mu$}  
\author{Marcin Chrzaszcz}
 
\date{\today} 
 
\begin{document}
 
{
\institute{Institute of Nuclear Physics PAN}
\setbeamertemplate{footline}{} 
\begin{frame}
  \titlepage
\end{frame}
}
 
\institute{IFJ PAN}
 
 
 
%tutaj mamy pierwsza strone
 
 
\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}
 
%normal slides
\section{Background Fits}
 
\subsection{Preselection}
\begin{frame}\frametitle{Preselection}
 
The preliminary cuts before the fitting was performed:
\begin{enumerate}
\item Trigger decision:
\begin{itemize}
\item  L0Dec + Hlt1Dec + Hlt2Dec + cleaningcut 
\end{itemize}
\item Particle Identification:
 
\item Mass Cuts:
\begin{itemize}
\item $mass(p0p1)>250MeV $
\item $abs(mass(p0p2-1020 MeV))>20MeV$
\item $abs(mass(p1p2-1020 MeV))>20MeV$
\end{itemize}
\item $\tau$ mass cut:
\begin{itemize}
\item $mass(\tau) \in (1600-1950) MeV $
\end{itemize}
 
\end{enumerate}	
 
 
 
 
	
\end{frame}
 
 
\subsection{Fitting}
 
\begin{frame}\frametitle{Fitting}
 
Fitting was done on two intervals:
$mass(\tau) \in ((1600,1730) \cap  (1810,1950))MeV $
 
 The following pdfs were fitted:
\begin{itemize}
\item Exponential.
\item Linear.
 
\item Second order polynomial.
\end{itemize}
 
\begin{block}{NOTE:}
Second order polynomiad was always in beetween Exp and Pol1, so i deleted it.
\end{block}
\end{frame}
 
%\subsection{Plots}
\begin{frame}\frametitle{Binning}
 
\begin{block}{Values calculated using Pauls script:}
Phys/Tau23Mu/scripts/fillmassbins.C
\end{block}
 
\begin{center}
\begin{tabular}{|c|c|}
\hline
\textbf{PID} & \textbf{Geo} \\
\hline
$-0.03 $ &  $-1.0 $ \\
\hline
$-0.005 $ &  $0.116 $ \\
\hline
$0.03 $ &   $0.44 $ \\
\hline
$0.07 $ &  $0.616 $ \\
\hline
$1 $ &  $1.0 $ \\
\hline
\end{tabular}
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
\textcolor{red}{Linear}
 
 
\end{block}
 
\end{center}
 
\end{frame}
 
 
 
 
 
 
 
 
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p005_0p03geo0p116_0p44.png}
\newline	$Pid\in(0.005,0.03)$, $Geo\in(0.116,0.44)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p005_0p03geo0p44_0p616.png}
\newline	$Pid\in(0.005,0.03)$, $Geo\in(0.44, 0.616)$
 
\end{columns}
\end{frame}
 
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p005_0p03geo-1_0p116.png}
\newline	$Pid\in(0.005,0.03)$, $Geo\in(-1,0.116)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p03_-0p005geo0p116_0p44.png}
\newline	$Pid\in(-0.03,-0.005)$, $Geo\in(0.116,0.44)$
 
\end{columns}
\end{frame}
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p03_-0p005geo0p44_0p616.png}
\newline	$Pid\in(-0.03,-0.005)$, $Geo\in(0.44,0.616)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_-0p03_-0p005geo-1_0p116.png}
\newline	$Pid\in(-0.03,-0.005)$, $Geo\in(-1,0.116)$
 
\end{columns}
\end{frame}
 
 
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p03_0p07geo0p116_0p44.png}
\newline	$Pid\in(0.03,0.07)$, $Geo\in(0.116,0.44)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p03_0p07geo0p44_0p616.png}
\newline	$Pid\in(0.03,0.07)$, $Geo\in(0.44,0.616)$
 
\end{columns}
\end{frame}
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p03_0p07geo0p616_1.png}
\newline	$Pid\in(0.03,0.07)$, $Geo\in(0.616,1)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p03_0p07geo-1_0p116.png}
\newline	$Pid\in(0.03,0.07)$, $Geo\in(-1,0.116)$
 
\end{columns}
\end{frame}
 
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p07_1geo0p116_0p44.png}
\newline	$Pid\in(0.07,1)$, $Geo\in(0.116,0.44)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p07_1geo0p44_0p616.png}
\newline	$Pid\in(0.07,1)$, $Geo\in(0.44, 0.616)$
 
\end{columns}
\end{frame}
 
 
\begin{frame}\frametitle{FITS}
 
\begin{block}{Please note colors in plots}
\textcolor{blue}{Exponential}
,
\textcolor{red}{Linear}
 
 
\end{block}
\begin{columns}[c]
	\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p07_1geo0p616_1.png}
\newline	$Pid\in(0.07,1)$, $Geo\in(0.616,1)$
\column{2.5in}
	\includegraphics[scale=0.22]{pid_0p07_1geo-1_0p116.png}
\newline	$Pid\in(0.07,1)$, $Geo\in(-1, 0.116)$
 
\end{columns}
\end{frame}
 
 
 
 
 
\subsection{Estimated background}
 
 
\begin{frame}\frametitle{Background estimation}
Background was calculated for every region depending on the background fit.
\begin{scriptsize}
 
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
\textbf{PID} & \textbf{GL}  & \textbf{Linear} & \textbf{Error lin } & \textbf{EXP} & \textbf{Error. Exp}\\
 
\hline
 $ 0.03 , 0.07 $ & $ -1.0 , 0.116 $ & $225.286975$ & $3.720377$ & $214.762667$ & $6.453331$  \\
\hline
 $ 0.03 , 0.07 $ & $ 0.116 , 0.44 $ & $25.334704$ & $0.730938$ & $22.658613$ & $3.382960$  \\ 
\hline
 $ 0.03 , 0.07 $ & $ 0.440 , 0.616 $ & $6.315243$ & $0.557466$ & $6.259470$ & $0.429338$  \\ 
\hline
 $ 0.03 , 0.07 $ & $ 0.616 , 1.0 $ & $2.101699$ & $0.879121$ & $1.433717$ & $1.249549$  \\
\hline
$ 0.07, 1.0 $ & $ -1.0 , 0.1160 $ & $112.765871$ & $3.022240$ & $106.582612$ & $4.852854$  \\ 
\hline
 $ 0.07 , 1.0 $ & $ 0.116 , 0.44 $ & $15.177247$ & $0.424522$ & $10.128789$ & $3.232027$  \\
\hline
$ 0.07 , 1.0 $ & $ 0.440 , 0.616 $ & $4.828111$ & $0.422406$ & $4.066456$ & $1.435559$  \\
\hline
 $ 0.07 , 1.0 $ & $ 0.616 , 1.0 $ & $3.871274$ & $1.701825$ & $3.372127$ & $1.346100$  \\
\hline
 
 
 
\end{tabular}	
\end{center}
\end{scriptsize}
 
\end{frame}
 
 
 
\begin{frame}\frametitle{Background estimation 2}
Background was calculated for every region depending on the background fit.
\begin{scriptsize}
 
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
\textbf{PID} & \textbf{GL}  & \textbf{Linear} & \textbf{Error lin } & \textbf{EXP} & \textbf{Error. Exp}\\
\hline
 $ -0.03 , -0.005 $ & $ -1.0 , 0.116 $ & $612.985455$ & $4.573560$ & $607.080395$ & $4.679320$  \\ 
\hline
 $ -0.03 , -0.005 $ & $ 0.116 , 0.44 $ & $46.384177$ & $1.931014$ & $46.008803$ & $1.470308$  \\
\hline
 $ -0.03 , -0.005 $ & $ 0.440 , 0.616 $ & $14.350158$ & $0.839352$ & $11.075469$ & $3.081886$  \\
\hline
  $ -0.03 , -0.005 $ & $ 0.616 , 1.0 $ & $5.339882$ & $0.935613$ & $2.725763$ & $1.714949$  \\
\hline
 $ -0.005 , 0.03 $ & $ -1.0 , 0.116 $ & $395.550331$ & $3.384968$ & $390.678139$ & $4.435397$  \\
\hline
 $ -0.005 , 0.03 $ & $ 0.116 , 0.44 $ & $40.271819$ & $0.894326$ & $34.112630$ & $4.623346$  \\ 
\hline
 $ -0.005 , 0.03 $ & $ 0.44 , 0.616 $ & $7.858009$ & $0.613963$ & $7.350912$ & $1.218388$  \\ 
\hline
 $ -0.005 , 0.03 $ & $ 0.616 , 1.0 $ & $6.566649$ & $0.848413$ & $5.702969$ & $1.848043$  \\ 
 \hline
 
\end{tabular}	
\end{center}
\end{scriptsize}
\end{frame}
 
\begin{frame}\frametitle{Summary}
 
If you have any questions, comments:
\newline mchrzasz@cern.ch
	
	
	
	
\end{frame}
 
 
 
\end{document}