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Presentations / Kstmumu / Fs_problem / mchrzasz.tex
@mchrzasz mchrzasz on 6 May 2015 49 KB big commit of everything
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\definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25}


\usetheme{Sybila}

\title[Update on MoM]{Update on MoM}
\author{Marcin Chrz\k{a}szcz$^{1}$, Nicola Serra$^{1}$}
\institute{$^1$~University of Zurich}
\date{\today}

\begin{document}
% --------------------------- SLIDE --------------------------------------------
\frame[plain]{\titlepage}
\author{Marcin Chrz\k{a}szcz{~}}
\institute{(UZH)}
% ------------------------------------------------------------------------------
% --------------------------- SLIDE --------------------------------------------
\begin{frame}\frametitle{$\color{white}{F_s}$ pulls, numbers I promised}

\begin{table}
\begin{tabular}{|c|c|c|}
\hline
Bin $[\GeV^2]$ & mean & sigma \\ \hline \hline
$0.1 -0.98$ & $0.038 \pm 0.029$ & $0.918 \pm0.021$ \\ \hline
$1.1 -2 $ & $-0.024 \pm 0.031$ & $0.998 \pm 0.022$ \\ \hline
$2 - 3 $ & $-0.025 \pm 0.029$ & $0.942 \pm 0.021$ \\ \hline
$3 - 4 $ & $-0.069 \pm 0.030$ & $0.971 \pm 0.022$ \\ \hline
$4 - 5 $ & $0.062 \pm 0.030$ & $0.955 \pm 0.021$ \\ \hline
$5 - 6 $ & $0.081 \pm 0.032$ & $0.992 \pm 0.022$ \\ \hline
$6 - 7 $ & $-0.031 \pm 0.031$ & $0.992 \pm 0.022$ \\ \hline
$7 - 8 $ & $-0.054 \pm 0.030$ & $0.962 \pm 0.021$ \\ \hline

$11 - 11.75 $ & $0.002 \pm 0.030$ & $0.947 \pm 0.021$ \\ \hline
$11.75 - 12.5 $ & $-0.027 \pm 0.031$ & $0.979 \pm 0.022$ \\ \hline
$15 - 16 $ & $0.011 \pm 0.029$ & $0.933 \pm 0.021$ \\ \hline
$16 - 17 $ & $0.02 \pm 0.029$ & $0.929 \pm 0.020$ \\ \hline
$17 - 18 $ & $-0.054 \pm 0.030$ & $0.962 \pm 0.021$ \\ \hline
$18 - 19 $ & $ -0.075 \pm 0.030$ & $0.964 \pm 0.021$ \\ \hline

\end{tabular}
\end{table}


\end{frame}
\begin{frame}\frametitle{$\color{white}{F_s}$ conclusions}

\begin{itemize}
\item We are overestimating the error, but we can leave with this.
\item Mean unbiased.
\end{itemize}

\end{frame}

\begin{frame}\frametitle{Correlations between $\color{white}{S_x}$ and $\color{white}{A_x}$, MC Toys}
\begin{small}


\begin{itemize}
\item Toys with acceptance, background (the ones we all like).
\item Plots in backups.
\end{itemize}
\begin{table}
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline 
$q^2$ & $S_3~A_3$ & $S_4~A_4$& $S_5~A_5$& $S_6~A_6$& $S_7~A_7$& $S_8~A_8$&  $S_9~A_9$ \\ \hline \hline
$0$ & $0.049$ & $-0.066$ & $-0.001$ & $0.011$ & $-0.034$ & $0.015$ & $0.022$ \\ \hline
$1$ & $0.029$ & $-0.047$ & $-0.003$ & $0.011$ & $-0.003$ & $0.017$ & $0.052$ \\
\hline
$2$ & $0.004$ & $-0.046$ & $0.026$ & $-0.022$ & $-0.010$ & $-0.036$ & $-0.032$ \\
\hline
$3$ & $0.079$ & $0.032$ & $0.035$ & $-0.028$ & $-0.025$ & $0.037$ & $0.027$ \\
\hline
$4$ & $-0.020$ & $0.074$ & $-0.001$ & $0.008$ & $-0.063$ & $-0.015$ & $0.037$ \\
\hline
$5$ & $-0.019$ & $-0.018$ & $-0.041$ & $0.001$ & $0.025$ & $0.015$ & $-0.014$ \\ 
\hline
$6$ & $0.000$ & $-0.008$ & $-0.021$ & $0.049$ & $-0.014$ & $-0.04$ & $-0.002$ \\ \hline
$7$ & $0.000$ & $-0.008$ & $-0.021$ & $0.049$ & $-0.014$ & $-0.04$ & $-0.002$ \\ \hline
$8$ & $-0.011$ & $-0.009$ & $-0.013$ & $-0.023$ & $0.047$ & $0.006$ & $-0.004$ \\
\hline
$9$ & $-0.009$ & $-0.015$ & $-0.008$ & $-0.009$ & $-0.010$ & $-0.050$ & $-0.029$ \\ \hline
$10$ & $0.030$ & $0.023$ & $0.084$ & $-0.049$ & $0.030$ & $0.002$ & $0.021$ \\ \hline
$11$ & $-0.016 $ & $0.006$ & $0.018$ & $-0.029$ & $0.034$ & $-0.049$ & $-0.039$ \\ \hline


\hline



\end{tabular}
\end{table}

\end{small}
\end{frame}


     \begin{frame}

\begin{Huge}
BACKUPs
\end{Huge}

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    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr/11_A7_S7.png} 
    \column{2.5in}                                              
 \includegraphics[width=0.95\textwidth]{corr/11_A8_S8.png}     
\end{columns}                                                   
  \end{frame}                                                   
         \begin{frame}       \frametitle{$18-19~\GeV^2$}        
    \begin{columns}                                             
    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr/11_A9_S9.png} 
    \column{2.5in}                                              
{~}                                                             
\end{columns}                                                   
  \end{frame}                                                   

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%%%%%%%%%%%%%%%%%%%%%%%%%55
%%%%%%%%%%%%%%%%%%%%%%%%

    \begin{frame}

\begin{Huge}
BACKUPs V2
\end{Huge}

  \end{frame}

    \begin{frame}       \frametitle{$0.1-0.98~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/0_A3_S3.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/0_A4_S4.png}
\end{columns}


  \end{frame}

     \begin{frame}       \frametitle{$0.1-0.98~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/0_A5_S5.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/0_A6s_S6s.png}
\end{columns}


  \end{frame}

       \begin{frame}       \frametitle{$0.1-0.98~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/0_A7_S7.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/0_A8_S8.png}
\end{columns}


  \end{frame}


         \begin{frame}       \frametitle{$0.1-0.98~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/0_A9_S9.png}
    \column{2.5in}
{~}
\end{columns}


  \end{frame}


%%%%%%%%%%%%%%%

  \begin{frame}       \frametitle{$1.1-2~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/1_A3_S3.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/1_A4_S4.png}
\end{columns}
  \end{frame}
     \begin{frame}       \frametitle{$1.1-2~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/1_A5_S5.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/1_A6s_S6s.png}
\end{columns}
  \end{frame}

       \begin{frame}       \frametitle{$1.1-2~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/1_A7_S7.png}
    \column{2.5in}
 \includegraphics[width=0.95\textwidth]{corr2/1_A8_S8.png}
\end{columns}
  \end{frame}
         \begin{frame}       \frametitle{$1.1-2~\GeV^2$}
    \begin{columns}
    \column{2.5in}
     \includegraphics[width=0.95\textwidth]{corr2/1_A9_S9.png}
    \column{2.5in}
{~}
\end{columns}
  \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  \begin{frame}       \frametitle{$2-3~\GeV^2$}            
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/2_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/2_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$2-3~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/2_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/2_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$2-3~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/2_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/2_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$2-3~\GeV^2$}     
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/2_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  \begin{frame}       \frametitle{$3-4~\GeV^2$}              
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/4_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/4_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$3-4~\GeV^2$}           
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/4_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/4_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$3-4~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/4_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/4_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$3-4~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/4_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                  
  \begin{frame}       \frametitle{$4-5~\GeV^2$}               
    \begin{columns}                                           
    \column{2.5in}                                            
     \includegraphics[width=0.95\textwidth]{corr2/4_A3_S3.png} 
    \column{2.5in}                                            
 \includegraphics[width=0.95\textwidth]{corr2/4_A4_S4.png}     
\end{columns}                                                 
  \end{frame}                                                 
     \begin{frame}       \frametitle{$4-5~\GeV^2$}            
    \begin{columns}                                           
    \column{2.5in}                                            
     \includegraphics[width=0.95\textwidth]{corr2/4_A5_S5.png} 
    \column{2.5in}                                            
 \includegraphics[width=0.95\textwidth]{corr2/4_A6s_S6s.png}   
\end{columns}                                                 
  \end{frame}                                                 
                                                              
       \begin{frame}       \frametitle{$4-5~\GeV^2$}          
    \begin{columns}                                           
    \column{2.5in}                                            
     \includegraphics[width=0.95\textwidth]{corr2/4_A7_S7.png} 
    \column{2.5in}                                            
 \includegraphics[width=0.95\textwidth]{corr2/4_A8_S8.png}     
\end{columns}                                                 
  \end{frame}                                                 
         \begin{frame}       \frametitle{$4-5~\GeV^2$}        
    \begin{columns}                                           
    \column{2.5in}                                            
     \includegraphics[width=0.95\textwidth]{corr2/4_A9_S9.png} 
    \column{2.5in}                                            
{~}                                                           
\end{columns}                                                 
  \end{frame}                                                 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                        
  \begin{frame}       \frametitle{$5-6~\GeV^2$}                     
    \begin{columns}                                                 
    \column{2.5in}                                                  
     \includegraphics[width=0.95\textwidth]{corr2/5_A3_S3.png}       
    \column{2.5in}                                                  
 \includegraphics[width=0.95\textwidth]{corr2/5_A4_S4.png}           
\end{columns}                                                       
  \end{frame}                                                       
     \begin{frame}       \frametitle{$5-6~\GeV^2$}                  
    \begin{columns}                                                 
    \column{2.5in}                                                  
     \includegraphics[width=0.95\textwidth]{corr2/5_A5_S5.png}       
    \column{2.5in}                                                  
 \includegraphics[width=0.95\textwidth]{corr2/5_A6s_S6s.png}         
\end{columns}                                                       
  \end{frame}                                                       
                                                                    
       \begin{frame}       \frametitle{$5-6~\GeV^2$}                
    \begin{columns}                                                 
    \column{2.5in}                                                  
     \includegraphics[width=0.95\textwidth]{corr2/5_A7_S7.png}       
    \column{2.5in}                                                  
 \includegraphics[width=0.95\textwidth]{corr2/5_A8_S8.png}           
\end{columns}                                                       
  \end{frame}                                                       
         \begin{frame}       \frametitle{$5-6~\GeV^2$}              
    \begin{columns}                                                 
    \column{2.5in}                                                  
     \includegraphics[width=0.95\textwidth]{corr2/5_A9_S9.png}       
    \column{2.5in}                                                  
{~}                                                                 
\end{columns}                                                       
  \end{frame}                                      
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                 
  \begin{frame}       \frametitle{$6-7~\GeV^2$}              
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/6_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/6_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$6-7~\GeV^2$}           
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/6_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/6_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$6-7~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/6_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/6_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$6-7~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/6_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                 
  \begin{frame}       \frametitle{$7-8~\GeV^2$}              
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/7_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/7_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$7-8~\GeV^2$}           
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/7_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/7_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$7-8~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/7_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/7_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$7-8~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/7_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                 
  \begin{frame}       \frametitle{$15-16~\GeV^2$}              
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/8_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/8_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$15-16~\GeV^2$}           
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/8_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/8_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$15-16~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/8_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/8_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$15-16~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/8_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                                                                      
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                 
  \begin{frame}       \frametitle{$16-17~\GeV^2$}            
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/9_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/9_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$16-17~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/9_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/9_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$16-17~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/9_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/9_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$16-17~\GeV^2$}     
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/9_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                      
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                 
  \begin{frame}       \frametitle{$17-18~\GeV^2$}            
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/10_A3_S3.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/10_A4_S4.png}    
\end{columns}                                                
  \end{frame}                                                
     \begin{frame}       \frametitle{$17-18~\GeV^2$}         
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/10_A5_S5.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/10_A6s_S6s.png}  
\end{columns}                                                
  \end{frame}                                                
                                                             
       \begin{frame}       \frametitle{$17-18~\GeV^2$}       
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/10_A7_S7.png}
    \column{2.5in}                                           
 \includegraphics[width=0.95\textwidth]{corr2/10_A8_S8.png}    
\end{columns}                                                
  \end{frame}                                                
         \begin{frame}       \frametitle{$17-18~\GeV^2$}     
    \begin{columns}                                          
    \column{2.5in}                                           
     \includegraphics[width=0.95\textwidth]{corr2/10_A9_S9.png}
    \column{2.5in}                                           
{~}                                                          
\end{columns}                                                
  \end{frame}                                                
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5                    
  \begin{frame}       \frametitle{$18-19~\GeV^2$}               
    \begin{columns}                                             
    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr2/11_A3_S3.png}  
    \column{2.5in}                                              
 \includegraphics[width=0.95\textwidth]{corr2/11_A4_S4.png}      
\end{columns}                                                   
  \end{frame}                                                   
     \begin{frame}       \frametitle{$18-19~\GeV^2$}            
    \begin{columns}                                             
    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr2/11_A5_S5.png}  
    \column{2.5in}                                              
 \includegraphics[width=0.95\textwidth]{corr2/11_A6s_S6s.png}    
\end{columns}                                                   
  \end{frame}                                                   
                                                                
       \begin{frame}       \frametitle{$18-19~\GeV^2$}          
    \begin{columns}                                             
    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr2/11_A7_S7.png} 
    \column{2.5in}                                              
 \includegraphics[width=0.95\textwidth]{corr2/11_A8_S8.png}     
\end{columns}                                                   
  \end{frame}                                                   
         \begin{frame}       \frametitle{$18-19~\GeV^2$}        
    \begin{columns}                                             
    \column{2.5in}                                              
     \includegraphics[width=0.95\textwidth]{corr2/11_A9_S9.png} 
    \column{2.5in}                                              
{~}                                                             
\end{columns}                                                   
  \end{frame}                                                   









\end{document}