Diff for /ttbar/p20_taujets_note/Appendix.tex between versions 1.1 and 1.2

version 1.1, 2011/05/18 21:30:40 version 1.2, 2011/06/01 01:20:54
Line 60  in Sections \ref{sub:datasample} and \re Line 60  in Sections \ref{sub:datasample} and \re
 \clearpage  \clearpage
   
   
 \subsection{\label{app:alljets_trig_eff}Trigger Efficiencies for $alljets$}  %\subsection{\label{app:alljets_trig_eff}Trigger Efficiencies for $alljets$}
 \begin{figure}[h]  %\begin{figure}[h]
 \includegraphics[scale=0.28]{trigger_eff/alljets0eff}  %\includegraphics[scale=0.28]{trigger_eff/alljets0eff}
 \includegraphics[scale=0.28]{trigger_eff/alljets1eff}  %\includegraphics[scale=0.28]{trigger_eff/alljets1eff}
 \includegraphics[scale=0.28]{trigger_eff/alljets2eff}  %\includegraphics[scale=0.28]{trigger_eff/alljets2eff}
 \includegraphics[scale=0.28]{trigger_eff/alljets3eff}  %\includegraphics[scale=0.28]{trigger_eff/alljets3eff}
 \caption{Trigger Efficiencies for $alljets$.}  %\caption{Trigger Efficiencies for $alljets$.}
   
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  %\end{figure}
   
   
 \subsection{\label{app:Wjjjets_trig_eff}Trigger Efficiencies for $Wjj + jets$}  \subsection{\label{app:Wjjjets_trig_eff}Trigger Efficiencies for $Wjj + jets$}
Line 83  in Sections \ref{sub:datasample} and \re Line 83  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
 \clearpage  %\clearpage
   
 \subsection{\label{app:Wbbjets_trig_eff}Trigger Efficiencies for $Wbb + jets$}  \subsection{\label{app:Wbbjets_trig_eff}Trigger Efficiencies for $Wbb + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 96  in Sections \ref{sub:datasample} and \re Line 96  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
   \clearpage
   
 \subsection{\label{app:Wccjets_trig_eff}Trigger Efficiencies for $Wcc + jets$}  \subsection{\label{app:Wccjets_trig_eff}Trigger Efficiencies for $Wcc + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 109  in Sections \ref{sub:datasample} and \re Line 110  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
 \clearpage  %\clearpage
   
   
 \subsection{\label{app:Zlpeejets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow ee + jj + jets$}  \subsection{\label{app:Zlpeejets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow ee + jj + jets$}
Line 124  in Sections \ref{sub:datasample} and \re Line 125  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
   \clearpage
   
 \subsection{\label{app:Zbbeejets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow ee + bb + jets$}  \subsection{\label{app:Zbbeejets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow ee + bb + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 136  in Sections \ref{sub:datasample} and \re Line 138  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
 \clearpage  %\clearpage
   
 \subsection{\label{app:Zcceejets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow ee + cc + jets$}  \subsection{\label{app:Zcceejets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow ee + cc + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 149  in Sections \ref{sub:datasample} and \re Line 151  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
   \clearpage
   
 \subsection{\label{app:Zlpmumujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \mu\mu + jj + jets$}  \subsection{\label{app:Zlpmumujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \mu\mu + jj + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 162  in Sections \ref{sub:datasample} and \re Line 165  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
 \clearpage  %\clearpage
   
   
   
Line 177  in Sections \ref{sub:datasample} and \re Line 180  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
   \clearpage
   
 \subsection{\label{app:Zccmumujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \mu\mu + cc + jets$}  \subsection{\label{app:Zccmumujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \mu\mu + cc + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 189  in Sections \ref{sub:datasample} and \re Line 193  in Sections \ref{sub:datasample} and \re
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
 \clearpage  %\clearpage
   
   
 \subsection{\label{app:Zlptautaujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \tau\tau + jj + jets$}  \subsection{\label{app:Zlptautaujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \tau\tau + jj + jets$}
Line 204  in Sections \ref{sub:datasample} and \re Line 208  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
   \clearpage
   
 \subsection{\label{app:Zbbtautaujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \tau\tau + bb + jets$}  \subsection{\label{app:Zbbtautaujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \tau\tau + bb + jets$}
 \begin{figure}[h]  \begin{figure}[h]
Line 217  in Sections \ref{sub:datasample} and \re Line 222  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
 \clearpage  
   
   
 \subsection{\label{app:Zcctautaujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \tau\tau + cc + jets$}  \subsection{\label{app:Zcctautaujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \tau\tau + cc + jets$}
Line 232  in Sections \ref{sub:datasample} and \re Line 236  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
   \clearpage
   
   
 \subsection{\label{app:Zlpnunuets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \nu\nu + jj + jets$}  \subsection{\label{app:Zlpnunuets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \nu\nu + jj + jets$}
 \begin{figure}[h]  \begin{figure}[h]
 \includegraphics[scale=0.28]{trigger_eff/Zlpnunu0eff}  \includegraphics[scale=0.28]{trigger_eff/Zlpnunu0eff}
Line 244  in Sections \ref{sub:datasample} and \re Line 251  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
 \clearpage  
   
   
 \subsection{\label{app:Zbbnunujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \nu\nu + bb + jets$}  \subsection{\label{app:Zbbnunujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \nu\nu + bb + jets$}
Line 259  in Sections \ref{sub:datasample} and \re Line 265  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
   \clearpage
   
   
 \subsection{\label{app:Zccnunujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \nu\nu + cc + jets$}  \subsection{\label{app:Zccnunujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \nu\nu + cc + jets$}
 \begin{figure}[h]  \begin{figure}[h]
 \includegraphics[scale=0.28]{trigger_eff/Zccnunu0eff}  \includegraphics[scale=0.28]{trigger_eff/Zccnunu0eff}
Line 271  in Sections \ref{sub:datasample} and \re Line 280  in Sections \ref{sub:datasample} and \re
 \end{figure}  \end{figure}
   
   
 %\clearpage  \clearpage
   %\newpage
   
   
 \section{\label{app:turnon} Turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \section{\label{app:turnon} Turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \noindent Here it is shown all turn-on curves for all three levels of the trigger JT2$\_$3JT15L$\_$IP$\_$VX  \noindent Here are shown all turn-on curves for all three levels of the trigger JT2$\_$3JT15L$\_$IP$\_$VX
 as described in Section \ref{sec:trig_param}.  as described in Section \ref{sec:trig_param}.
   
   
 \subsection{\label{app:jetturnon_L1} Level 1 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:jetturnon_L1} Level 1 jet turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 292  as described in Section \ref{sec:trig_pa Line 301  as described in Section \ref{sec:trig_pa
 \label{fig:l1jetslo}  \label{fig:l1jetslo}
 \end{figure}  \end{figure}
   
 \newpage  %\newpage
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 316  as described in Section \ref{sec:trig_pa Line 325  as described in Section \ref{sec:trig_pa
 \newpage  \newpage
   
   
 \subsection{\label{app:jetturnon_L2} Level 2 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:jetturnon_L2} Level 2 jet turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 328  as described in Section \ref{sec:trig_pa Line 337  as described in Section \ref{sec:trig_pa
 \end{figure}  \end{figure}
   
   
 \subsection{\label{app:htturnon_L2} Level 2 $H_{T}$ turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:htturnon_L2} Level 2 $H_{T}$ turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 357  as described in Section \ref{sec:trig_pa Line 366  as described in Section \ref{sec:trig_pa
 \newpage  \newpage
   
   
 \subsection{\label{app:mhtturnon_L2} Level 2 $\not\!\!E_{T}$ turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:mhtturnon_L2} Level 2 $\not\!\!E_{T}$ turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 388  as described in Section \ref{sec:trig_pa Line 397  as described in Section \ref{sec:trig_pa
 \newpage  \newpage
   
   
 \subsection{\label{app:spherturnon_L2} Level 2 Sphericity turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:spherturnon_L2} Level 2 Sphericity turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 400  as described in Section \ref{sec:trig_pa Line 409  as described in Section \ref{sec:trig_pa
 \end{figure}  \end{figure}
   
   
 \subsection{\label{app:sttip_L2} Level 2 STTIP turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:sttip_L2} Level 2 STTIP turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 428  as described in Section \ref{sec:trig_pa Line 437  as described in Section \ref{sec:trig_pa
   
 \newpage  \newpage
   
 \subsection{\label{app:jetturnon_L3} Level 3 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}  \subsection{\label{app:jetturnon_L3} Level 3 jet turn-on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
   
 \begin{figure}[h]  \begin{figure}[h]
 \centering  \centering
Line 542  zero (red) or one (black) offline NN (TI Line 551  zero (red) or one (black) offline NN (TI
 \section{\label{app:discri_var}Discriminant variables}  \section{\label{app:discri_var}Discriminant variables}
   
 \noindent This appendix shows normalized plots of signal and background samples   \noindent This appendix shows normalized plots of signal and background samples 
 for all discriminant variables tested for this analysis.  for all discriminant variables tested AND/OR used in this analysis.
   
 \begin{figure}[h]  \begin{figure}[h]
 \includegraphics[scale=0.30]{plots/metl_allEW.eps}  \includegraphics[scale=0.30]{plots/metl_allEW.eps}
Line 564  for all discriminant variables tested fo Line 573  for all discriminant variables tested fo
   
 \section{\label{app:set_opt}Set optimization}  \section{\label{app:set_opt}Set optimization}
   
 \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to   \noindent This appendix shows plots of the figure of merit (Eq. \ref{merit}) used to 
 perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.  perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.
   
 \begin{figure}[b]  \begin{figure}[b]
Line 583  perform the NN variables set optimizatio Line 592  perform the NN variables set optimizatio
 \includegraphics[scale=0.27]{SetOpt/ensemble13A-40}  \includegraphics[scale=0.27]{SetOpt/ensemble13A-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble14A-40}  \includegraphics[scale=0.27]{SetOpt/ensemble14A-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble15A-40}  \includegraphics[scale=0.27]{SetOpt/ensemble15A-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble16A-40}  
 \includegraphics[scale=0.27]{SetOpt/ensemble17A-40}  
 \includegraphics[scale=0.27]{SetOpt/ensemble18A-40}  
   
 \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}  \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}
   
 %\label{fig:variables_type2_bveto}   
 \end{figure}  \end{figure}
   
 \clearpage  \clearpage
   
 \section{\label{app:set_opt}Set optimization continued}  
   
 \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to   
 perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.  
   
 \begin{figure}[b]  \begin{figure}[b]
   \includegraphics[scale=0.27]{SetOpt/ensemble16A-40}
   \includegraphics[scale=0.27]{SetOpt/ensemble17A-40}
   \includegraphics[scale=0.27]{SetOpt/ensemble18A-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble19A-40}  \includegraphics[scale=0.27]{SetOpt/ensemble19A-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble20-40}  \includegraphics[scale=0.27]{SetOpt/ensemble20-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble21-40}  \includegraphics[scale=0.27]{SetOpt/ensemble21-40}
Line 615  perform the NN variables set optimizatio Line 616  perform the NN variables set optimizatio
 \includegraphics[scale=0.27]{SetOpt/ensemble31-40}  \includegraphics[scale=0.27]{SetOpt/ensemble31-40}
 \includegraphics[scale=0.27]{SetOpt/ensembleMS-40}  \includegraphics[scale=0.27]{SetOpt/ensembleMS-40}
 \includegraphics[scale=0.27]{SetOpt/ensemble33-40}  \includegraphics[scale=0.27]{SetOpt/ensemble33-40}
   
 \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}  \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}
   
 %\label{fig:variables_type2_bveto}   
 \end{figure}  \end{figure}
   
 \clearpage  
   
   \clearpage
   
 \section{\label{app:metl_opt}$\not\!\! E_{T}$ significance optimization}  \section{\label{app:metl_opt}$\not\!\! E_{T}$ significance optimization}
   
Line 638  perform the NN variables set optimizatio Line 636  perform the NN variables set optimizatio
 %\includegraphics[scale=0.27]{SetOpt/pull9-50}  %\includegraphics[scale=0.27]{SetOpt/pull9-50}
 %\includegraphics[scale=0.27]{SetOpt/pull9-55}  %\includegraphics[scale=0.27]{SetOpt/pull9-55}
   
 \caption{Variation of $\not\!\! E_{T}$ significance cut for Set XXXII = metl, {$H_{T}$}, topmassl, aplan, sqrts.}  \caption{Variation of $\not\!\! E_{T}$ significance cut for Set 32 = METsig, {$H_{T}$}, topmassl, aplan, Mjjtau.}
   
 %\label{fig:variables_type2_bveto}   %\label{fig:variables_type2_bveto} 
 \end{figure}  \end{figure}
   
 \clearpage  \clearpage
   
 \section{\label{app:xsec_nocont}Cross section measurements when signal contamination is ignored}  
   
 \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to   \section{\label{app:Topo}Topological variables}
 perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.  
   In this section we show distributions of the topological variables used in this analysis in order to
   check the agreement between data and Monte Carlo in all cases. Plots are separated into two sets:
   signal sample and b-veto control plots.
   
   \subsection{\label{sub:signalplots}Signal sample plots}
   
   As stated in Section \ref{sub:Results-of-the} the signal sample is the one we used to perform
   the measurement. The cuts here consist of  $NN(\tau)>0.90$ for taus types 1 and 2,
   $NN(\tau)>0.95$ for taus type 3, and at least one NN b-tag. This sample contains
   a good amount of $t\bar{t}$ (19.7\% for types 1 and 2 and 8.6\% for type 3) as shown in Tables
   \ref{b_and_tau_type1_2} and \ref{b_and_tau_type_3}. Next we show the plots of
   the topological variables for this sample. The error bars represent the statistical uncertainties only.
   
   \begin{figure}[h]
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/aplan}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/ht}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/aplan}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/ht}
   
   \caption{Distributions for aplanarity and $H_T$ in the signal sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   
   %\label{fig:variables_type2_Std} 
   \end{figure}
   
   \newpage
   
   \begin{figure}[t]
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/cent}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/spher}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/cent}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/spher}
   
   \caption{Distributions for centrality and sphericity in the signal sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   %\label{fig:variables_type2_Std} 
   \end{figure}
   
   
   \begin{figure}[b]
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/sqrts}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/costhetastar}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/sqrts}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/costhetastar}
   
   \caption{Distributions for $M_{jj\tau}$ and $cos(\theta^{*})$ in the signal sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   %\label{fig:variables_type2_Std} 
   \end{figure}
   
   \begin{figure}[t]
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/metl}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/met}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/metl}
   \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/met}
   
   \caption{Distributions for \met and $\not\!\! E_{T}$ significance significance in the signal sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   %\label{fig:variables_type2_Std} 
   \end{figure}
   
   \clearpage
   
   \subsection{\label{app:signalplots}b-veto control sample plots}
   
   The b-veto sample is the one used to test our QCD modelling \ref{sub:Results-of-the}. As it requires no
   NN b-tags it is QCD-dominated and has a tiny amount of $t\bar{t}$ (1.9\% for types 1 and 2 and 0.7\% for type 3) 
   as shown in Tables \ref{bveto_type1_2} and \ref{b_veto_type_3}. It consists of an ideal sample to make sure
   that the QCD modelling works and can be used in the measurement. Next we show the plots of
   the topological variables for this sample. The error bars represent the statistical uncertainties only.
   
   \begin{figure}[h]
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/aplan}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/ht}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/aplan}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/ht}
   
   \caption{Distributions for aplanarity and $H_T$ in the $b$-veto sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   
   %\label{fig:variables_type2_bveto} 
   \end{figure}
   
   \newpage
   
   \begin{figure}[t]
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/cent}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/spher}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/cent}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/spher}
   
   \caption{Distributions for centrality and sphericity in the $b$-veto sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   
   %\label{fig:variables_type2_bveto} 
   \end{figure}
   
   \begin{figure}[b]
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/sqrts}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/costhetastar}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/sqrts}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/costhetastar}
   
   \caption{Distributions for $M_{jj\tau}$ and $cos(\theta^{*})$ in the $b$-veto sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   
   %\label{fig:variables_type2_bveto} 
   \end{figure}
   
   
   \begin{figure}[t]
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/metl}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/met}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/metl}
   \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/met}
   
   \caption{Distributions for \met and $\not\!\! E_{T}$ significance significance in the $b$-veto sample for 
   tau of Types 1 and 2 (top) and taus of Type 3 (botton). The Kolmogorov-Smirnov (KS) probabilities are shown,
   indicating the level of agreement.}
   
   %\label{fig:variables_type2_bveto} 
   \end{figure}
   
   \clearpage
   
   
   \section{\label{app:xsec_nocont}Cross measurement without accounting for signal contamination in the background sample.}
   
   \noindent In this appendix we show results of cross section measurements for both NNelec $>$ 0.9 and no NNelec cut
   applied when the signal contamination in the loose-tight tau region is not taken into account. They serve as a 
   complement to the discussion presented in Section \ref{sub:xsect}.
   
 \subsection{\label{sub:xsectA}Results for Set = metl, {$H_{T}$}, topmassl, aplan, sqrts, metl $>$ 4.0, lumi = 4951.86/pb, VC jets and  \subsection{\label{sub:xsectA}Results for Set = METsig, {$H_{T}$}, topmassl, aplan, Mjjtau, METsig $>$ 4.0, lumi = 4951.86/pb, VC jets and
 NNelec $>$ 0.9}  NNelec $>$ 0.9}
   
 Table below summarizes the number of events in each channel after final selection.  Table below summarizes the number of events in each channel after final selection.
Line 752  Without taking into account the signal c Line 887  Without taking into account the signal c
 \clearpage  \clearpage
   
   
 \subsection{\label{sub:xsectA}Results for Set = metl, {$H_{T}$}, topmassl, aplan, sqrts, metl $>$ 4.0, lumi = 4951.86/pb, VC jets and no NNelec cut}  \subsection{\label{sub:xsectA}Results for Set = Set = METsig, {$H_{T}$}, topmassl, aplan, Mjjtau, METsig $>$ 4.0, lumi = 4951.86/pb, VC jets and no NNelec cut}
   
 Table below summarizes the number of events in each channel after final selection.  Table below summarizes the number of events in each channel after final selection.
   

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