Annotation of ttbar/p20_taujets_note/Appendix.tex, revision 1.1.1.1

1.1       uid12904    1: \appendix
                      2: 
                      3: \section{\label{app:trig_eff}Trigger Efficiencies}
                      4: %\begin{subappendices}
                      5: 
                      6: \noindent In this appendix we present the trigger weight distributions of all MC samples
                      7: for different numbers of b-tagged jets. These are the weight distributions we referred to
                      8: in Sections \ref{sub:datasample} and \ref{sec:trig_param}.
                      9: 
                     10: 
                     11: \subsection{\label{app:taujets_trig_eff}Trigger Efficiencies for $\tau + jets$}
                     12: \begin{figure}[h]
                     13: \includegraphics[scale=0.28]{trigger_eff/taujets0eff}
                     14: \includegraphics[scale=0.28]{trigger_eff/taujets1eff}
                     15: \includegraphics[scale=0.28]{trigger_eff/taujets2eff}
                     16: \includegraphics[scale=0.28]{trigger_eff/taujets3eff}
                     17: \caption{Trigger Efficiencies for $\tau + jets$.}
                     18: 
                     19: %\label{fig:variables_type2_bveto} 
                     20: \end{figure}
                     21: 
                     22: 
                     23: \subsection{\label{app:taujets_trig_eff}Trigger Efficiencies for $e + jets$}
                     24: \begin{figure}[h]
                     25: \includegraphics[scale=0.28]{trigger_eff/ejets0eff}
                     26: \includegraphics[scale=0.28]{trigger_eff/ejets1eff}
                     27: \includegraphics[scale=0.28]{trigger_eff/ejets2eff}
                     28: \includegraphics[scale=0.28]{trigger_eff/ejets3eff}
                     29: \caption{Trigger Efficiencies for $e + jets$.}
                     30: 
                     31: %\label{fig:variables_type2_bveto} 
                     32: \end{figure}
                     33: 
                     34: \clearpage
                     35: 
                     36: \subsection{\label{app:mujets_trig_eff}Trigger Efficiencies for $\mu + jets$}
                     37: \begin{figure}[h]
                     38: \includegraphics[scale=0.28]{trigger_eff/mujets0eff}
                     39: \includegraphics[scale=0.28]{trigger_eff/mujets1eff}
                     40: \includegraphics[scale=0.28]{trigger_eff/mujets2eff}
                     41: \includegraphics[scale=0.28]{trigger_eff/mujets3eff}
                     42: \caption{Trigger Efficiencies for $\mu + jets$.}
                     43: 
                     44: %\label{fig:variables_type2_bveto} 
                     45: \end{figure}
                     46: 
                     47: 
                     48: \subsection{\label{app:dilep_trig_eff}Trigger Efficiencies for $dilepton$}
                     49: \begin{figure}[h]
                     50: \includegraphics[scale=0.28]{trigger_eff/dilep0eff}
                     51: \includegraphics[scale=0.28]{trigger_eff/dilep1eff}
                     52: \includegraphics[scale=0.28]{trigger_eff/dilep2eff}
                     53: \includegraphics[scale=0.28]{trigger_eff/dilep3eff}
                     54: \caption{Trigger Efficiencies for $dilepton$.}
                     55: 
                     56: %\label{fig:variables_type2_bveto} 
                     57: \end{figure}
                     58: 
                     59: 
                     60: \clearpage
                     61: 
                     62: 
                     63: \subsection{\label{app:alljets_trig_eff}Trigger Efficiencies for $alljets$}
                     64: \begin{figure}[h]
                     65: \includegraphics[scale=0.28]{trigger_eff/alljets0eff}
                     66: \includegraphics[scale=0.28]{trigger_eff/alljets1eff}
                     67: \includegraphics[scale=0.28]{trigger_eff/alljets2eff}
                     68: \includegraphics[scale=0.28]{trigger_eff/alljets3eff}
                     69: \caption{Trigger Efficiencies for $alljets$.}
                     70: 
                     71: %\label{fig:variables_type2_bveto} 
                     72: \end{figure}
                     73: 
                     74: 
                     75: \subsection{\label{app:Wjjjets_trig_eff}Trigger Efficiencies for $Wjj + jets$}
                     76: \begin{figure}[h]
                     77: \includegraphics[scale=0.28]{trigger_eff/Wjjjets0eff}
                     78: \includegraphics[scale=0.28]{trigger_eff/Wjjjets1eff}
                     79: \includegraphics[scale=0.28]{trigger_eff/Wjjjets2eff}
                     80: \includegraphics[scale=0.28]{trigger_eff/Wjjjets3eff}
                     81: \caption{Trigger Efficiencies for $Wjj + jets$.}
                     82: 
                     83: %\label{fig:variables_type2_bveto} 
                     84: \end{figure}
                     85: 
                     86: \clearpage
                     87: 
                     88: \subsection{\label{app:Wbbjets_trig_eff}Trigger Efficiencies for $Wbb + jets$}
                     89: \begin{figure}[h]
                     90: \includegraphics[scale=0.28]{trigger_eff/Wbbjets0eff}
                     91: \includegraphics[scale=0.28]{trigger_eff/Wbbjets1eff}
                     92: \includegraphics[scale=0.28]{trigger_eff/Wbbjets2eff}
                     93: \includegraphics[scale=0.28]{trigger_eff/Wbbjets3eff}
                     94: \caption{Trigger Efficiencies for $Wbb + jets$.}
                     95: 
                     96: %\label{fig:variables_type2_bveto} 
                     97: \end{figure}
                     98: 
                     99: 
                    100: \subsection{\label{app:Wccjets_trig_eff}Trigger Efficiencies for $Wcc + jets$}
                    101: \begin{figure}[h]
                    102: \includegraphics[scale=0.28]{trigger_eff/Wccjets0eff}
                    103: \includegraphics[scale=0.28]{trigger_eff/Wccjets1eff}
                    104: \includegraphics[scale=0.28]{trigger_eff/Wccjets2eff}
                    105: \includegraphics[scale=0.28]{trigger_eff/Wccjets3eff}
                    106: \caption{Trigger Efficiencies for $Wcc + jets$.}
                    107: 
                    108: %\label{fig:variables_type2_bveto} 
                    109: \end{figure}
                    110: 
                    111: 
                    112: \clearpage
                    113: 
                    114: 
                    115: \subsection{\label{app:Zlpeejets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow ee + jj + jets$}
                    116: \begin{figure}[h]
                    117: \includegraphics[scale=0.28]{trigger_eff/Zlpee0eff}
                    118: \includegraphics[scale=0.28]{trigger_eff/Zlpee1eff}
                    119: \includegraphics[scale=0.28]{trigger_eff/Zlpee2eff}
                    120: \includegraphics[scale=0.28]{trigger_eff/Zlpee3eff}
                    121: \caption{Trigger Efficiencies for $Zjj + jets \rightarrow ee + jj + jets$.}
                    122: 
                    123: %\label{fig:variables_type2_bveto} 
                    124: \end{figure}
                    125: 
                    126: 
                    127: 
                    128: \subsection{\label{app:Zbbeejets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow ee + bb + jets$}
                    129: \begin{figure}[h]
                    130: \includegraphics[scale=0.28]{trigger_eff/Zbbee0eff}
                    131: \includegraphics[scale=0.28]{trigger_eff/Zbbee1eff}
                    132: \includegraphics[scale=0.28]{trigger_eff/Zbbee2eff}
                    133: \includegraphics[scale=0.28]{trigger_eff/Zbbee3eff}
                    134: \caption{Trigger Efficiencies for $Zbb + jets \rightarrow ee + bb + jets$.}
                    135: 
                    136: %\label{fig:variables_type2_bveto} 
                    137: \end{figure}
                    138: 
                    139: \clearpage
                    140: 
                    141: \subsection{\label{app:Zcceejets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow ee + cc + jets$}
                    142: \begin{figure}[h]
                    143: \includegraphics[scale=0.28]{trigger_eff/Zccee0eff}
                    144: \includegraphics[scale=0.28]{trigger_eff/Zccee1eff}
                    145: \includegraphics[scale=0.28]{trigger_eff/Zccee2eff}
                    146: \includegraphics[scale=0.28]{trigger_eff/Zccee3eff}
                    147: \caption{Trigger Efficiencies for $Zcc + jets \rightarrow ee + cc + jets$.}
                    148: 
                    149: %\label{fig:variables_type2_bveto} 
                    150: \end{figure}
                    151: 
                    152: 
                    153: \subsection{\label{app:Zlpmumujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \mu\mu + jj + jets$}
                    154: \begin{figure}[h]
                    155: \includegraphics[scale=0.28]{trigger_eff/Zlpmumu0eff}
                    156: \includegraphics[scale=0.28]{trigger_eff/Zlpmumu1eff}
                    157: \includegraphics[scale=0.28]{trigger_eff/Zlpmumu2eff}
                    158: \includegraphics[scale=0.28]{trigger_eff/Zlpmumu3eff}
                    159: \caption{Trigger Efficiencies for $Zjj + jets \rightarrow \mu\mu + jj + jets$.}
                    160: 
                    161: %\label{fig:variables_type2_bveto} 
                    162: \end{figure}
                    163: 
                    164: 
                    165: \clearpage
                    166: 
                    167: 
                    168: 
                    169: \subsection{\label{app:Zbbmumujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \mu\mu + bb + jets$}
                    170: \begin{figure}[h]
                    171: \includegraphics[scale=0.28]{trigger_eff/Zbbmumu0eff}
                    172: \includegraphics[scale=0.28]{trigger_eff/Zbbmumu1eff}
                    173: \includegraphics[scale=0.28]{trigger_eff/Zbbmumu2eff}
                    174: \includegraphics[scale=0.28]{trigger_eff/Zbbmumu3eff}
                    175: \caption{Trigger Efficiencies for $Zbb + jets \rightarrow \mu\mu + bb + jets$.}
                    176: 
                    177: %\label{fig:variables_type2_bveto} 
                    178: \end{figure}
                    179: 
                    180: 
                    181: \subsection{\label{app:Zccmumujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \mu\mu + cc + jets$}
                    182: \begin{figure}[h]
                    183: \includegraphics[scale=0.28]{trigger_eff/Zccmumu0eff}
                    184: \includegraphics[scale=0.28]{trigger_eff/Zccmumu1eff}
                    185: \includegraphics[scale=0.28]{trigger_eff/Zccmumu2eff}
                    186: \includegraphics[scale=0.28]{trigger_eff/Zccmumu3eff}
                    187: \caption{Trigger Efficiencies for $Zcc + jets \rightarrow \mu\mu + cc + jets$.}
                    188: 
                    189: %\label{fig:variables_type2_bveto} 
                    190: \end{figure}
                    191: 
                    192: \clearpage
                    193: 
                    194: 
                    195: \subsection{\label{app:Zlptautaujets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \tau\tau + jj + jets$}
                    196: \begin{figure}[h]
                    197: \includegraphics[scale=0.28]{trigger_eff/Zlptautau0eff}
                    198: \includegraphics[scale=0.28]{trigger_eff/Zlptautau1eff}
                    199: \includegraphics[scale=0.28]{trigger_eff/Zlptautau2eff}
                    200: \includegraphics[scale=0.28]{trigger_eff/Zlptautau3eff}
                    201: \caption{Trigger Efficiencies for $Zjj + jets \rightarrow \tau\tau + jj + jets$.}
                    202: 
                    203: %\label{fig:variables_type2_bveto} 
                    204: \end{figure}
                    205: 
                    206: 
                    207: 
                    208: \subsection{\label{app:Zbbtautaujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \tau\tau + bb + jets$}
                    209: \begin{figure}[h]
                    210: \includegraphics[scale=0.28]{trigger_eff/Zbbtautau0eff}
                    211: \includegraphics[scale=0.28]{trigger_eff/Zbbtautau1eff}
                    212: \includegraphics[scale=0.28]{trigger_eff/Zbbtautau2eff}
                    213: \includegraphics[scale=0.28]{trigger_eff/Zbbtautau3eff}
                    214: \caption{Trigger Efficiencies for $Zbb + jets \rightarrow \tau\tau + bb + jets$.}
                    215: 
                    216: %\label{fig:variables_type2_bveto} 
                    217: \end{figure}
                    218: 
                    219: 
                    220: \clearpage
                    221: 
                    222: 
                    223: \subsection{\label{app:Zcctautaujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \tau\tau + cc + jets$}
                    224: \begin{figure}[h]
                    225: \includegraphics[scale=0.28]{trigger_eff/Zcctautau0eff}
                    226: \includegraphics[scale=0.28]{trigger_eff/Zcctautau1eff}
                    227: \includegraphics[scale=0.28]{trigger_eff/Zcctautau2eff}
                    228: \includegraphics[scale=0.28]{trigger_eff/Zcctautau3eff}
                    229: \caption{Trigger Efficiencies for $Zcc + jets \rightarrow \tau\tau + cc + jets$.}
                    230: 
                    231: %\label{fig:variables_type2_bveto} 
                    232: \end{figure}
                    233: 
                    234: 
                    235: \subsection{\label{app:Zlpnunuets_trig_eff}Trigger Efficiencies for $Zjj + jets \rightarrow \nu\nu + jj + jets$}
                    236: \begin{figure}[h]
                    237: \includegraphics[scale=0.28]{trigger_eff/Zlpnunu0eff}
                    238: \includegraphics[scale=0.28]{trigger_eff/Zlpnunu1eff}
                    239: \includegraphics[scale=0.28]{trigger_eff/Zlpnunu2eff}
                    240: \includegraphics[scale=0.28]{trigger_eff/Zlpnunu3eff}
                    241: \caption{Trigger Efficiencies for $Zjj + jets \rightarrow \nu\nu + jj + jets$.}
                    242: 
                    243: %\label{fig:variables_type2_bveto} 
                    244: \end{figure}
                    245: 
                    246: 
                    247: \clearpage
                    248: 
                    249: 
                    250: \subsection{\label{app:Zbbnunujets_trig_eff}Trigger Efficiencies for $Zbb + jets \rightarrow \nu\nu + bb + jets$}
                    251: \begin{figure}[h]
                    252: \includegraphics[scale=0.28]{trigger_eff/Zbbnunu0eff}
                    253: \includegraphics[scale=0.28]{trigger_eff/Zbbnunu1eff}
                    254: \includegraphics[scale=0.28]{trigger_eff/Zbbnunu2eff}
                    255: \includegraphics[scale=0.28]{trigger_eff/Zbbnunu3eff}
                    256: \caption{Trigger Efficiencies for $Zbb + jets \rightarrow \nu\nu + bb + jets$.}
                    257: 
                    258: %\label{fig:variables_type2_bveto} 
                    259: \end{figure}
                    260: 
                    261: 
                    262: \subsection{\label{app:Zccnunujets_trig_eff}Trigger Efficiencies for $Zcc + jets \rightarrow \nu\nu + cc + jets$}
                    263: \begin{figure}[h]
                    264: \includegraphics[scale=0.28]{trigger_eff/Zccnunu0eff}
                    265: \includegraphics[scale=0.28]{trigger_eff/Zccnunu1eff}
                    266: \includegraphics[scale=0.28]{trigger_eff/Zccnunu2eff}
                    267: \includegraphics[scale=0.28]{trigger_eff/Zccnunu3eff}
                    268: \caption{Trigger Efficiencies for $Zcc + jets \rightarrow \nu\nu + cc + jets$.}
                    269: 
                    270: %\label{fig:variables_type2_bveto} 
                    271: \end{figure}
                    272: 
                    273: 
                    274: %\clearpage
                    275: 
                    276: 
                    277: 
                    278: \section{\label{app:turnon} Turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    279: 
                    280: \noindent Here it is shown all turn-on curves for all three levels of the trigger JT2$\_$3JT15L$\_$IP$\_$VX
                    281: as described in Section \ref{sec:trig_param}.
                    282: 
                    283: 
                    284: \subsection{\label{app:jetturnon_L1} Level 1 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    285: 
                    286: \begin{figure}[h]
                    287: \centering
                    288: \subfigure[$p_{T} >$ 8~GeV]{\epsfig{file=lowLum/l1jetspt8.eps,width=4.7cm}}
                    289: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=lowLum/l1jetspt15.eps,width=4.7cm}}
                    290: \subfigure[$p_{T} >$ 30~GeV]{\epsfig{file=lowLum/l1jetspt30.eps,width=4.7cm}}
                    291: \caption{Level 1 jet turn-on curves, low luminosity.}
                    292: \label{fig:l1jetslo}
                    293: \end{figure}
                    294: 
                    295: \newpage
                    296: 
                    297: \begin{figure}[h]
                    298: \centering
                    299: \subfigure[$p_{T} >$ 8~GeV]{\epsfig{file=medLum/l1jetspt8.eps,width=4.7cm}}
                    300: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=medLum/l1jetspt15.eps,width=4.7cm}}
                    301: \subfigure[$p_{T} >$ 30~GeV]{\epsfig{file=medLum/l1jetspt30.eps,width=4.7cm}}
                    302: \caption{Level 1 jet turn-on curves, medium luminosity.}
                    303: \label{fig:l1jets}
                    304: \end{figure}
                    305: 
                    306: 
                    307: \begin{figure}[h]
                    308: \centering
                    309: \subfigure[$p_{T} >$ 8~GeV]{\epsfig{file=highLum/l1jetspt8.eps,width=4.7cm}}
                    310: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=highLum/l1jetspt15.eps,width=4.7cm}}
                    311: \subfigure[$p_{T} >$ 30~GeV]{\epsfig{file=highLum/l1jetspt30.eps,width=4.7cm}}
                    312: \caption{Level 1 jet turn-on curves, high luminosity.}
                    313: \label{fig:l1jetshi}
                    314: \end{figure}
                    315: 
                    316: \newpage
                    317: 
                    318: 
                    319: \subsection{\label{app:jetturnon_L2} Level 2 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    320: 
                    321: \begin{figure}[h]
                    322: \centering
                    323: \subfigure[Low luminosity $p_{T} >$ 8~GeV]{\epsfig{file=lowLum/l2jetspt8.eps,width=4.7cm}}
                    324: \subfigure[Medium luminosity $p_{T} >$ 8~GeV]{\epsfig{file=medLum/l2jetspt8.eps,width=4.7cm}}
                    325: \subfigure[high luminosity $p_{T} >$ 8~GeV]{\epsfig{file=highLum/l2jetspt8.eps,width=4.7cm}}
                    326: \caption{Level 2 $p_{T} >$ 8~GeV jets turn-on curves.}
                    327: \label{fig:l2jetsalllumi}
                    328: \end{figure}
                    329: 
                    330: 
                    331: \subsection{\label{app:htturnon_L2} Level 2 $H_{T}$ turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    332: 
                    333: \begin{figure}[h]
                    334: \centering
                    335: \subfigure[$H_{T} >$ 75~GeV]{\epsfig{file=lowLum/l2ht75.eps,width=4.7cm}}
                    336: \subfigure[$H_{T} >$ 100~GeV]{\epsfig{file=lowLum/l2ht100.eps,width=4.7cm}}
                    337: \caption{L2 $H_{T}$ turn-on curves, low luminosity.}
                    338: \label{fig:l2htlo}
                    339: \end{figure}
                    340: 
                    341: \begin{figure}[h]
                    342: \centering
                    343: \subfigure[$H_{T} >$ 75~GeV]{\epsfig{file=medLum/l2ht75.eps,width=4.7cm}}
                    344: \subfigure[$H_{T} >$ 100~GeV]{\epsfig{file=medLum/l2ht100.eps,width=4.7cm}}
                    345: \caption{L2 $H_{T}$ turn-on curves, medium luminosity.}
                    346: \label{fig:l2ht}
                    347: \end{figure}
                    348: 
                    349: \begin{figure}[h]
                    350: \centering
                    351: \subfigure[$H_{T} >$ 75~GeV]{\epsfig{file=highLum/l2ht75.eps,width=4.7cm}}
                    352: \subfigure[$H_{T} >$ 100~GeV]{\epsfig{file=highLum/l2ht100.eps,width=4.7cm}}
                    353: \caption{L2 $H_{T}$ turn-on curves, high luminosity.}
                    354: \label{fig:l2hthi}
                    355: \end{figure}
                    356: 
                    357: \newpage
                    358: 
                    359: 
                    360: \subsection{\label{app:mhtturnon_L2} Level 2 $\not\!\!E_{T}$ turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    361: 
                    362: \begin{figure}[h]
                    363: \centering
                    364: \subfigure[$\not\!\!E_{T}$ $>$ 10~GeV]{\epsfig{file=lowLum/l2mhtv15.eps,width=4.7cm}}
                    365: \subfigure[$\not\!\!E_{T}$ $>$ 20~GeV]{\epsfig{file=lowLum/l2mhtv16.eps,width=4.7cm}}
                    366: \caption{L2 $\not\!\!E_{T}$ turn-on curves, low luminosity.}
                    367: \label{fig:l2mhtlo}
                    368: \end{figure}
                    369: 
                    370: 
                    371: \begin{figure}[h]
                    372: \centering
                    373: \subfigure[$\not\!\!E_{T}$ $>$ 10~GeV]{\epsfig{file=medLum/l2mhtv15.eps,width=4.7cm}}
                    374: \subfigure[$\not\!\!E_{T}$ $>$ 20~GeV]{\epsfig{file=medLum/l2mhtv16.eps,width=4.7cm}}
                    375: \caption{L2 $\not\!\!E_{T}$ turn-on curves, medium luminosity.}
                    376: \label{fig:l2mht}
                    377: \end{figure}
                    378: 
                    379: \begin{figure}[h]
                    380: \centering
                    381: \subfigure[$\not\!\!E_{T}$ $>$ 10~GeV]{\epsfig{file=highLum/l2mhtv15.eps,width=4.7cm}}
                    382: \subfigure[$\not\!\!E_{T}$ $>$ 20~GeV]{\epsfig{file=highLum/l2mhtv16.eps,width=4.7cm}}
                    383: \caption{L2 $\not\!\!E_{T}$ turn-on curves, high luminosity.}
                    384: \label{fig:l2mhthi}
                    385: \end{figure}
                    386: 
                    387: 
                    388: \newpage
                    389: 
                    390: 
                    391: \subsection{\label{app:spherturnon_L2} Level 2 Sphericity turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    392: 
                    393: \begin{figure}[h]
                    394: \centering
                    395: \subfigure[Sphericity $>$ 0.1 turn-on curve, low luminosity]{\epsfig{file=lowLum/l2spher.eps,width=4.7cm}}
                    396: \subfigure[Sphericity $>$ 0.1 turn-on curve, medium luminosity]{\epsfig{file=lowLum/l2spher.eps,width=4.7cm}}
                    397: \subfigure[Sphericity $>$ 0.1 turn-on curve, high luminosity]{\epsfig{file=medLum/l2spher.eps,width=4.7cm}}
                    398: \caption{L2 Sphericity turn-on curves.}
                    399: \label{fig:l2spher}
                    400: \end{figure}
                    401: 
                    402: 
                    403: \subsection{\label{app:sttip_L2} Level 2 STTIP turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    404: 
                    405: \begin{figure}[h]
                    406: \centering
                    407: \subfigure[L2STTIP, 0 and 1 tight NN tags]{\epsfig{file=lowLum/l2stt01taglol.eps,width=4.7cm}}
                    408: \subfigure[L2STTIP, 2 and 3 tight NN tags]{\epsfig{file=lowLum/l2stt23taglol.eps,width=4.7cm}}
                    409: \caption{L2STTIP efficiency in the low luminosity range. Left: events with 0 (red) and 1 (black) tight NN b-tags. Right: events with 2 (red) and 3 (black) tight NN b-tags.} 
                    410: \label{fig:l2STTlo}
                    411: \end{figure}
                    412: 
                    413: \begin{figure}[h]
                    414: \centering
                    415: \subfigure[L2STTIP, 0 and 1 tight NN tags]{\epsfig{file=medLum/l2stt01tag.eps,width=4.7cm}}
                    416: \subfigure[L2STTIP, 2 and 3 tight NN tags]{\epsfig{file=medLum/l2stt23tag.eps,width=4.7cm}}
                    417: \caption{L2STTIP efficiency in the medium luminosity range. Left: events with 0 (red) and 1 (black) tight NN b-tags. Right: events with 2 (red) and 3 (black) tight NN b-tags.} 
                    418: \label{fig:l2STT}
                    419: \end{figure}
                    420: 
                    421: \begin{figure}[h]
                    422: \centering
                    423: \subfigure[L2STTIP, 0 and 1 tight NN tags]{\epsfig{file=highLum/l2stt01taghil.eps,width=4.7cm}}
                    424: \subfigure[L2STTIP, 2 and 3 tight NN tags]{\epsfig{file=highLum/l2stt23taghil.eps,width=4.7cm}}
                    425: \caption{L2STTIP efficiency in the high luminosity range. Left: events with 0 (red) and 1 (black) tight NN b-tags. Right: events with 2 (red) and 3 (black) tight NN b-tags.} 
                    426: \label{fig:l2STThi}
                    427: \end{figure}
                    428: 
                    429: \newpage
                    430: 
                    431: \subsection{\label{app:jetturnon_L3} Level 3 jet turn on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    432: 
                    433: \begin{figure}[h]
                    434: \centering
                    435: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=lowLum/l3jetspt15.eps,width=4.7cm}}
                    436: \subfigure[$p_{T} >$ 25~GeV]{\epsfig{file=lowLum/l3jetspt25.eps,width=4.7cm}}
                    437: \caption{L3 jet turn-on curves, low luminosity.}
                    438: \label{fig:l3jetslo}
                    439: \end{figure}
                    440: %
                    441: 
                    442: \newpage
                    443: 
                    444: 
                    445: \begin{figure}[h]
                    446: \centering
                    447: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=medLum/l3jetspt15.eps,width=4.7cm}}
                    448: \subfigure[$p_{T} >$ 25~GeV]{\epsfig{file=medLum/l3jetspt25.eps,width=4.7cm}}
                    449: \caption{L3 jet turn-on curves, medium luminosity.}
                    450: \label{fig:l3jets}
                    451: \end{figure}
                    452: %
                    453: \begin{figure}[h]
                    454: \centering
                    455: \subfigure[$p_{T} >$ 15~GeV]{\epsfig{file=highLum/l3jetspt15.eps,width=4.7cm}}
                    456: \subfigure[$p_{T} >$ 25~GeV]{\epsfig{file=highLum/l3jetspt25.eps,width=4.7cm}}
                    457: \caption{L3 jet turn-on curves, high luminosity.}
                    458: \label{fig:l3jetshi}
                    459: \end{figure}
                    460: 
                    461: 
                    462: \subsection{\label{app:btagturnon_L3} Level 3 b-tag on curves for trigger JT2$\_$3JT15L$\_$IP$\_$VX}
                    463: 
                    464: \begin{figure}[h]
                    465: %\vspace{-0.5cm}
                    466: \centering
                    467: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=lowLum/l3btag01taglol.eps,width=4.0cm}}
                    468: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=lowLum/l3btag23taglol.eps,width=4.0cm}}
                    469: %\vspace{-0.5cm}
                    470: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the low luminosity 
                    471: range in triggerlist v15. The selected events passed the rest of the trigger and offline event selection and 
                    472: had zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    473: \label{fig:l3iplo}
                    474: \end{figure}
                    475: 
                    476: \newpage
                    477: 
                    478: \begin{figure}[h]
                    479: %\vspace{-0.5cm}
                    480: \centering
                    481: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=medLum/l3btag01tag.eps,width=4.0cm}}
                    482: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=medLum/l3btag2tag.eps,width=4.0cm}}
                    483: %\vspace{-0.5cm}
                    484: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the medium luminosity 
                    485: range in triggerlist v15. The selected events passed the rest of the trigger and offline event selection and had 
                    486: zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    487: \label{fig:l3ip}
                    488: \end{figure}
                    489: 
                    490: \begin{figure}[h]
                    491: %\vspace{-0.5cm}
                    492: \centering
                    493: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=highLum/l3btag01taghil.eps,width=4.0cm}}
                    494: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=highLum/l3btag23taghil.eps,width=4.0cm}}
                    495: %\vspace{-0.5cm}
                    496: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the high luminosity 
                    497: range in triggerlist v15. The selected events passed the rest of the trigger and offline event selection and had 
                    498: zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    499: \label{fig:l3iphi}
                    500: \end{figure}
                    501: 
                    502: 
                    503: \begin{figure}[h]
                    504: %\vspace{-0.5cm}
                    505: \centering
                    506: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=lowLum/l3btag01tagv16lol.eps,height=4.0cm,width=4.0cm}}
                    507: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=lowLum/l3btag2tagv16lol.eps,height=4.0cm,width=4.0cm}}
                    508: %\vspace{-0.5cm}
                    509: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the low luminosity 
                    510: range in triggerlist v16. The selected events passed the rest of the trigger and offline event selection and 
                    511: had zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    512: \label{fig:l3ipv16lo}
                    513: \end{figure}
                    514: 
                    515: \begin{figure}[h]
                    516: %\vspace{-0.5cm}
                    517: \centering
                    518: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=medLum/l3btag01tagv16.eps,height=4.0cm,width=4.0cm}}
                    519: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=medLum/l3btag2tagv16.eps,height=4.0cm,width=4.0cm}}
                    520: %\vspace{-0.5cm}
                    521: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the medium luminosity 
                    522: range in triggerlist v16. The selected events passed the rest of the trigger and offline event selection and had 
                    523: zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    524: \label{fig:l3ipv16}
                    525: \end{figure}
                    526: 
                    527: \begin{figure}[h]
                    528: %\vspace{-0.5cm}
                    529: \centering
                    530: \subfigure[0 and 1 $b$-tags.]{\epsfig{file=highLum/l3btag01tagv16hil.eps,height=4.0cm,width=4.0cm}}
                    531: \subfigure[2 and 3 $b$-tags.]{\epsfig{file=highLum/l3btag2tagv16hil.eps,height=4.0cm,width=4.0cm}}
                    532: %\vspace{-0.5cm}
                    533: \caption[L3 IP Trigger]{(a) Efficiency of the L3 $b$-tag (Level3 Event $b$-tag$<$ 0.4) for the high luminosity 
                    534: range in triggerlist v16. The selected events passed the rest of the trigger and offline event selection and had 
                    535: zero (red) or one (black) offline NN (TIGHT) $b$-tags. (b) Same for events with 2(red) and 3(black) offline NN (TIGHT) $b$-tags.}
                    536: \label{fig:l3ipv16hi}
                    537: \end{figure}
                    538: 
                    539: \clearpage
                    540: 
                    541: 
                    542: \section{\label{app:discri_var}Discriminant variables}
                    543: 
                    544: \noindent This appendix shows normalized plots of signal and background samples 
                    545: for all discriminant variables tested for this analysis.
                    546: 
                    547: \begin{figure}[h]
                    548: \includegraphics[scale=0.30]{plots/metl_allEW.eps}
                    549: \includegraphics[scale=0.30]{variables/aplan_all}
                    550: \includegraphics[scale=0.30]{variables/cent_all}
                    551: \includegraphics[scale=0.30]{variables/sqrts_all}
                    552: \includegraphics[scale=0.30]{variables/spher_all}
                    553: \includegraphics[scale=0.30]{variables/ht_all.eps}
                    554: \includegraphics[scale=0.30]{variables/topmassl_all}
                    555: \includegraphics[scale=0.30]{variables/costhetastar_all}
                    556: 
                    557: \caption{Discriminant variables.}
                    558: 
                    559: %\label{fig:variables_type2_bveto} 
                    560: \end{figure}
                    561: 
                    562: \clearpage
                    563: 
                    564: 
                    565: \section{\label{app:set_opt}Set optimization}
                    566: 
                    567: \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to 
                    568: perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.
                    569: 
                    570: \begin{figure}[b]
                    571: \includegraphics[scale=0.27]{SetOpt/ensemble1-40}
                    572: \includegraphics[scale=0.27]{SetOpt/ensemble12-40}
                    573: \includegraphics[scale=0.27]{SetOpt/ensemble13-40}
                    574: \includegraphics[scale=0.27]{SetOpt/ensemble14-40}
                    575: \includegraphics[scale=0.27]{SetOpt/ensemble15-40}
                    576: \includegraphics[scale=0.27]{SetOpt/ensemble3-40}
                    577: \includegraphics[scale=0.27]{SetOpt/ensemble4-40}
                    578: \includegraphics[scale=0.27]{SetOpt/ensemble5-40}
                    579: \includegraphics[scale=0.27]{SetOpt/ensemble7-40}
                    580: \includegraphics[scale=0.27]{SetOpt/ensemble9-40}
                    581: \includegraphics[scale=0.27]{SetOpt/ensemble10-40}
                    582: \includegraphics[scale=0.27]{SetOpt/ensemble12A-40}
                    583: \includegraphics[scale=0.27]{SetOpt/ensemble13A-40}
                    584: \includegraphics[scale=0.27]{SetOpt/ensemble14A-40}
                    585: \includegraphics[scale=0.27]{SetOpt/ensemble15A-40}
                    586: \includegraphics[scale=0.27]{SetOpt/ensemble16A-40}
                    587: \includegraphics[scale=0.27]{SetOpt/ensemble17A-40}
                    588: \includegraphics[scale=0.27]{SetOpt/ensemble18A-40}
                    589: 
                    590: \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}
                    591: 
                    592: %\label{fig:variables_type2_bveto} 
                    593: \end{figure}
                    594: 
                    595: \clearpage
                    596: 
                    597: \section{\label{app:set_opt}Set optimization continued}
                    598: 
                    599: \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to 
                    600: perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.
                    601: 
                    602: \begin{figure}[b]
                    603: \includegraphics[scale=0.27]{SetOpt/ensemble19A-40}
                    604: \includegraphics[scale=0.27]{SetOpt/ensemble20-40}
                    605: \includegraphics[scale=0.27]{SetOpt/ensemble21-40}
                    606: \includegraphics[scale=0.27]{SetOpt/ensemble22-40}
                    607: \includegraphics[scale=0.27]{SetOpt/ensemble23-40}
                    608: \includegraphics[scale=0.27]{SetOpt/ensemble24-40}
                    609: \includegraphics[scale=0.27]{SetOpt/ensemble25-40}
                    610: \includegraphics[scale=0.27]{SetOpt/ensemble26-40}
                    611: \includegraphics[scale=0.27]{SetOpt/ensemble27-40}
                    612: \includegraphics[scale=0.27]{SetOpt/ensemble28-40}
                    613: \includegraphics[scale=0.27]{SetOpt/ensemble29-40}
                    614: \includegraphics[scale=0.27]{SetOpt/ensemble30-40}
                    615: \includegraphics[scale=0.27]{SetOpt/ensemble31-40}
                    616: \includegraphics[scale=0.27]{SetOpt/ensembleMS-40}
                    617: \includegraphics[scale=0.27]{SetOpt/ensemble33-40}
                    618: 
                    619: \caption{Sets of NN inputs variables with $\not\!\! E_{T}$ significance $>$ 4.0 for set optimization.}
                    620: 
                    621: %\label{fig:variables_type2_bveto} 
                    622: \end{figure}
                    623: 
                    624: \clearpage
                    625: 
                    626: 
                    627: \section{\label{app:metl_opt}$\not\!\! E_{T}$ significance optimization}
                    628: 
                    629: \begin{figure}[h]
                    630: \includegraphics[scale=0.27]{SetOpt/ensembleMS-30}
                    631: \includegraphics[scale=0.27]{SetOpt/ensembleMS-35}
                    632: \includegraphics[scale=0.27]{SetOpt/ensembleMS-40}
                    633: \includegraphics[scale=0.27]{SetOpt/ensembleMS-45}
                    634: \includegraphics[scale=0.27]{SetOpt/ensembleMS50}
                    635: %\includegraphics[scale=0.27]{SetOpt/pull9-35}
                    636: %\includegraphics[scale=0.27]{SetOpt/pull9-40}
                    637: %\includegraphics[scale=0.27]{SetOpt/pull9-45}
                    638: %\includegraphics[scale=0.27]{SetOpt/pull9-50}
                    639: %\includegraphics[scale=0.27]{SetOpt/pull9-55}
                    640: 
                    641: \caption{Variation of $\not\!\! E_{T}$ significance cut for Set XXXII = metl, {$H_{T}$}, topmassl, aplan, sqrts.}
                    642: 
                    643: %\label{fig:variables_type2_bveto} 
                    644: \end{figure}
                    645: 
                    646: \clearpage
                    647: 
                    648: \section{\label{app:xsec_nocont}Cross section measurements when signal contamination is ignored}
                    649: 
                    650: \noindent In this appendix it is shown plots of the figure of merit (Equation \ref{merit}) used to 
                    651: perform the NN variables set optimization as described in Section \ref{sub:NN-optimization}.
                    652: 
                    653: \subsection{\label{sub:xsectA}Results for Set = metl, {$H_{T}$}, topmassl, aplan, sqrts, metl $>$ 4.0, lumi = 4951.86/pb, VC jets and
                    654: NNelec $>$ 0.9}
                    655: 
                    656: Table below summarizes the number of events in each channel after final selection.
                    657: 
                    658: 
                    659: \begin{table}[h]
                    660: \caption{Final number of events in the two analysis channels.} 
                    661: %\begin{ruledtabular}
                    662: \begin{tabular}{cccccc}
                    663: \hline 
                    664: &$\tau$ type I,II
                    665: &$\tau$ type I,II (fitted)
                    666: &$\tau$ type III
                    667: &$\tau$ type III (fitted)&\\
                    668: \hline 
                    669: data&
                    670: 386 &
                    671: &
                    672: 459 &
                    673: &\\
                    674: $t\overline{t}\rightarrow\tau+jets$&
                    675: 72.04 $\pm$ 0.53&
                    676: &
                    677: 38.82 $\pm$ 0.39&\\
                    678: $t\overline{t}\rightarrow e+jets$&
                    679: 38.35 $\pm$ 0.36&
                    680: &
                    681: 6.52 $\pm$ 0.16&
                    682: &\\
                    683: $t\overline{t}\rightarrow\mu+jets$&
                    684: 4.81 $\pm$ 0.14&
                    685: &
                    686: 5.14 $\pm$ 0.14&
                    687: &\\
                    688: $t\overline{t}\rightarrow l+l$&
                    689: 6.02 $\pm$ 0.07&
                    690: &
                    691: 4.20 $\pm$ 0.06&
                    692: &\\
                    693: $t\overline{t}$ total MC&
                    694: &
                    695: 121.22 $\pm$ 0.43&
                    696: &
                    697: 54.68 $\pm$ 0.20&\\
                    698: $t\overline{t}$ total fitted&
                    699: &
                    700: 133.04 $\pm$ 17.09&
                    701: &
                    702: 33.12 $\pm$ 15.04&\\
                    703: $W$+jets&
                    704: 17.82 $\pm$ 0.33&
                    705: &
                    706: 11.26 $\pm$ 0.23&
                    707: &\\
                    708: $Z$+jets&
                    709: 2.78 $\pm$ 0.14&
                    710: &
                    711: 2.39 $\pm$ 0.12&
                    712: &\\
                    713: QCD&
                    714: &
                    715: 232.35 $\pm$ 17.09&
                    716: &
                    717: 412.22 $\pm$ 15.04\\
                    718: Signal significance&
                    719: &
                    720: 6.77&
                    721: &
                    722: 1.54
                    723: &\\
                    724: S/B ratio&
                    725: &
                    726: 0.52&
                    727: &
                    728: 0.08\\
                    729: \end{tabular}
                    730: %\end{ruledtabular}
                    731: \label{event yeild summary} 
                    732: \end{table}
                    733: 
                    734: 
                    735: Without taking into account the signal contamination the result is (only statistical uncertainties are shown)
                    736: 
                    737: \begin{center}$\tau$+jets types 1 and 2 cross section: \[\sigma (t\overline{t}) = 
                    738: 8.05\;\;_{-1.02}^{+1.04}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    739:  \par\end{center}
                    740: 
                    741: \begin{center}$\tau$+jets type 3 cross section: \[\sigma (t\overline{t}) = 
                    742: 4.24\;\;_{-1.80}^{+1.94}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    743: \par\end{center}
                    744: 
                    745: 
                    746: 
                    747: \begin{center}Combined cross section: \[\sigma (t\overline{t}) = 
                    748: 7.26\;\;_{-0.92}^{+0.92}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    749: \par\end{center}
                    750: 
                    751: 
                    752: \clearpage
                    753: 
                    754: 
                    755: \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}
                    756: 
                    757: Table below summarizes the number of events in each channel after final selection.
                    758: 
                    759: 
                    760: \begin{table}[h]
                    761: \caption{Final number of events in the two analysis channels.} 
                    762: %\begin{ruledtabular}
                    763: \begin{tabular}{cccccc}
                    764: \hline 
                    765: &$\tau$ type I,II
                    766: &$\tau$ type I,II (fitted)
                    767: &$\tau$ type III
                    768: &$\tau$ type III (fitted)&\\
                    769: \hline 
                    770: data&
                    771: 583 &
                    772: &
                    773: 459 &
                    774: &\\
                    775: $t\overline{t}\rightarrow\tau+jets$&
                    776: 85.46 $\pm$ 0.58&
                    777: &
                    778: 38.82 $\pm$ 0.39&\\
                    779: $t\overline{t}\rightarrow e+jets$&
                    780: 175.23 $\pm$ 0.85&
                    781: &
                    782: 6.52 $\pm$ 0.16&
                    783: &\\
                    784: $t\overline{t}\rightarrow\mu+jets$&
                    785: 8.98 $\pm$ 0.19&
                    786: &
                    787: 5.14 $\pm$ 0.14&
                    788: &\\
                    789: $t\overline{t}\rightarrow l+l$&
                    790: 12.62 $\pm$ 0.10&
                    791: &
                    792: 4.18 $\pm$ 0.06&
                    793: &\\
                    794: $t\overline{t}$ total MC&
                    795: &
                    796: 282.27 $\pm$ 1.05&
                    797: &
                    798: 54.67 $\pm$ 0.41&\\
                    799: $t\overline{t}$ total fitted&
                    800: &
                    801: 260.71 $\pm$ 20.74&
                    802: &
                    803: 35.73 $\pm$ 15.28&\\
                    804: $W$+jets&
                    805: 39.65 $\pm$ 0.50&
                    806: &
                    807: 11.26 $\pm$ 0.25&
                    808: &\\
                    809: $Z$+jets&
                    810: 4.56 $\pm$ 0.10&
                    811: &
                    812: 2.38 $\pm$ 0.11&
                    813: &\\
                    814: QCD&
                    815: &
                    816: 278.04 $\pm$ 20.74&
                    817: &
                    818: 409.62 $\pm$ 15.28\\
                    819: Signal significance&
                    820: &
                    821: 10.80&
                    822: &
                    823: 1.67
                    824: &\\
                    825: S/B ratio&
                    826: &
                    827: 0.80&
                    828: &
                    829: 0.08\\
                    830: \end{tabular}
                    831: %\end{ruledtabular}
                    832: \label{event yeild summary} 
                    833: \end{table}
                    834: %
                    835: 
                    836: 
                    837: Without taking into account the signal contamination the result is (only statistical uncertainties are shown)
                    838: 
                    839: \begin{center}$\tau$+jets types 1 and 2 cross section: \[\sigma (t\overline{t}) = 
                    840: 6.47\;\;_{-0.53}^{+0.53}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    841:  \par\end{center}
                    842: 
                    843: \begin{center}$\tau$+jets type 3 cross section: \[\sigma (t\overline{t}) = 
                    844: 4.58\;\;_{-1.85}^{+1.96}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    845: \par\end{center}
                    846: 
                    847: 
                    848: 
                    849: \begin{center}Combined cross section: \[\sigma (t\overline{t}) = 
                    850: 6.35\;\;_{-0.51}^{+0.51}\;\;({\textrm{stat}})\;\;\pm 0.3\;\;({\textrm{lumi}})\;\; \rm{pb,}\]
                    851: \par\end{center}
                    852: 
                    853: 
                    854: 
                    855: %\section{Appendix A}
                    856: 

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