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1.1     ! uid12904    1: \newpage
        !             2: 
        !             3: \section{\label{sub:Topo}Topological variables}
        !             4: 
        !             5: In this section we show plots of the topological variables used in this analysis in order to
        !             6: check the agreement between data and Monte Carlo in all cases. Plots are separated in two kinds:
        !             7: signal sample and b-veto control plots.
        !             8: 
        !             9: \subsection{\label{sub:signalplots}Signal sample plots}
        !            10: 
        !            11: As stated in Section \ref{sub:Results-of-the} the signal sample is the one we used to perform
        !            12: the measurement. The cuts here consist of  $NN(\tau)>0.90$ for taus types 1 and 2,
        !            13: $NN(\tau)>0.95$ for taus type 3, and at least one NN b-tag. This sample contains
        !            14: a good amount of $t\bar{t}$ (19.7\% for types 1 and 2 and 8.6\% for type 3) as shown in Tables
        !            15: \ref{b_and_tau_type1_2} and \ref{b_and_tau_type_3}. Next we show the plots of
        !            16: the topological variables for this sample. The error bars represent the statistical uncertainties only.
        !            17: 
        !            18: \begin{figure}[h]
        !            19: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/aplan}
        !            20: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/ht}
        !            21: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/cent}
        !            22: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/spher}
        !            23: 
        !            24: \caption{The topological variables in the signal sample
        !            25: ($\tau$ types 1 and 2). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !            26: indicating the level of agreement.}
        !            27: 
        !            28: %\label{fig:variables_type2_Std} 
        !            29: \end{figure}
        !            30: 
        !            31: \newpage
        !            32: 
        !            33: \begin{figure}[t]
        !            34: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/sqrts}
        !            35: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/costhetastar}
        !            36: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/metl}
        !            37: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeI_II/met}
        !            38: 
        !            39: \caption{The topological variables in the signal sample
        !            40: ($\tau$ types 1 and 2). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !            41: indicating the level of agreement.}
        !            42: %\label{fig:variables_type2_Std} 
        !            43: \end{figure}
        !            44: 
        !            45: 
        !            46: \begin{figure}[b]
        !            47: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/aplan}
        !            48: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/ht}
        !            49: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/cent}
        !            50: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/spher}
        !            51: 
        !            52: \caption{The topological variables in the signal sample
        !            53: ($\tau$ types 3). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !            54: indicating the level of agreement.}
        !            55: %\label{fig:variables_type2_Std} 
        !            56: \end{figure}
        !            57: 
        !            58: \begin{figure}[t]
        !            59: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/sqrts}
        !            60: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/costhetastar}
        !            61: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/metl}
        !            62: \includegraphics[scale=0.34]{CONTROLPLOTS/Std_TypeIII/met}
        !            63: 
        !            64: \caption{The topological variables in the signal sample
        !            65: ($\tau$ types 3). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !            66: indicating the level of agreement.}
        !            67: %\label{fig:variables_type2_Std} 
        !            68: \end{figure}
        !            69: 
        !            70: \clearpage
        !            71: 
        !            72: \subsection{\label{sub:signalplots}b-veto control sample plots}
        !            73: 
        !            74: The b-veto sample is the one used to test our QCD modelling \ref{sub:Results-of-the}. As it requires no
        !            75: 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) 
        !            76: as shown in Tables \ref{bveto_type1_2} and \ref{b_veto_type_3}. It consists of an ideal sample to make sure
        !            77: that the QCD modelling works and can be used in the measurement. Next we show the plots of
        !            78: the topological variables for this sample. The error bars represent the statistical uncertainties only.
        !            79: 
        !            80: \begin{figure}[h]
        !            81: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/aplan}
        !            82: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/ht}
        !            83: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/cent}
        !            84: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/spher}
        !            85: 
        !            86: \caption{The topological variables in the b-veto control sample
        !            87: ($\tau$ types 1 and 2). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !            88: indicating how good the agreement is.}
        !            89: 
        !            90: %\label{fig:variables_type2_bveto} 
        !            91: \end{figure}
        !            92: 
        !            93: \newpage
        !            94: 
        !            95: \begin{figure}[t]
        !            96: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/sqrts}
        !            97: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/costhetastar}
        !            98: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/metl}
        !            99: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeI_II/met}
        !           100: 
        !           101: \caption{The topological variables in the b-veto control sample
        !           102: ($\tau$ types 1 and 2). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !           103: indicating how good the agreement is.}
        !           104: 
        !           105: %\label{fig:variables_type2_bveto} 
        !           106: \end{figure}
        !           107: 
        !           108: \begin{figure}[b]
        !           109: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/aplan}
        !           110: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/ht}
        !           111: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/cent}
        !           112: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/spher}
        !           113: 
        !           114: \caption{The topological variables in the b-veto control sample
        !           115: ($\tau$ types 3). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !           116: indicating how good the agreement is.}
        !           117: 
        !           118: %\label{fig:variables_type2_bveto} 
        !           119: \end{figure}
        !           120: 
        !           121: 
        !           122: \begin{figure}[t]
        !           123: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/sqrts}
        !           124: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/costhetastar}
        !           125: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/metl}
        !           126: \includegraphics[scale=0.34]{CONTROLPLOTS/bveto_TypeIII/met}
        !           127: 
        !           128: \caption{The topological variables in the b-veto control sample
        !           129: ($\tau$ types 3). The Kolmogorov-Smirnov (KS) probabilities are shown,
        !           130: indicating how good the agreement is.}
        !           131: 
        !           132: %\label{fig:variables_type2_bveto} 
        !           133: \end{figure}
        !           134: 
        !           135: \clearpage
        !           136: