Annotation of ttbar/p20_taujets_note/Dataset.tex, revision 1.1

1.1     ! uid12904    1: %\newpage
        !             2: 
        !             3: \section{Dataset \label{sec:dataset}}
        !             4: 
        !             5: \subsection{\label{sub:datasample}\boldmath Data Sample}
        !             6: 
        !             7: \noindent For this analysis the framework used was vjets\_cafe v04-00-08 (Release p21.18.00)
        !             8: and the data set consisted of 3JET skim produced by the commom samples group
        !             9: \cite{3jet_data} and recorded between August 2002 and May 2010 (runs 151817 - 258547).
        !            10: 
        !            11: 
        !            12: \begin{itemize}
        !            13: \item   CSG$\_$CAF$\_3$JET$\_$PASS2$\_$p21.10.00
        !            14: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.10.00$\_$p20.12.00
        !            15: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.10.00$\_$p20.12.01
        !            16: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.10.00$\_$p20.12.02
        !            17: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.10.00$\_$p20.12.04
        !            18: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.12.00$\_$p20.12.05$\_$allfix
        !            19: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.10.00$\_$p20.16.07$\_$fix
        !            20: \item   CSG$\_$CAF$\_3$JET$\_$PASS4$\_$p21.12.00$\_$p20.16.07$\_$summer2010
        !            21: \end{itemize}
        !            22: 
        !            23: 
        !            24: 
        !            25: In this analysis we chose the three jets trigger JT2\_3JT15L\_IP\_VX.
        !            26: 
        !            27: 
        !            28: This particular trigger was chosen based on our needs of looking for events with multiple jets and
        !            29: the fact that it represents a gain of 20\% efficiency on signal selection if compared to previous p17 analysis.
        !            30: Since the efficiencies for such trigger are not currently part of caf\_trigger package, 
        !            31: in this analysis we benefit from the trigger modelling provided by the $hbb$ group \cite{bIDH_note}
        !            32: for the $\phi b \rightarrow b\bar{b}b$ analysis. Trigger weight distributions for all
        !            33: MC samples used in the analysis as a function of the number of b-tagged jets  are found in 
        !            34: %Appendix \ref{app:trig_eff} and summarized in Table \ref{trig_weight}:
        !            35: Appendix \ref{app:trig_eff} and Table II summarizes their mean values:
        !            36: 
        !            37: 
        !            38: 
        !            39: \begin{table}[h]
        !            40: \begin{center}
        !            41: \begin{tabular}{|c|r|r|r|r|} \hline
        !            42: Process   & 0 tags  & 1 tag & 2 tags & 3 or more tags      \\ \hline
        !            43: 
        !            44: \hline
        !            45: 
        !            46: 
        !            47: $t\overline{t}\rightarrow\tau+jets$ &\multicolumn{1}{c|}{0.7923}  &\multicolumn{1}{c|}{0.8620} &\multicolumn{1}{c|}{0.8953} &\multicolumn{1}{c|}{0.9039} \\
        !            48: 
        !            49: $t\overline{t}\rightarrow e+jets$ &\multicolumn{1}{c|}{0.7902}  &\multicolumn{1}{c|}{0.8599} &\multicolumn{1}{c|}{0.8933}&\multicolumn{1}{c|}{0.9020} \\
        !            50: 
        !            51: $t\overline{t}\rightarrow\mu+jets$ &\multicolumn{1}{c|}{0.7942}  &\multicolumn{1}{c|}{0.8639} &\multicolumn{1}{c|}{0.8973}&\multicolumn{1}{c|}{0.9058} \\
        !            52: 
        !            53: $t\overline{t}\rightarrow l+l$ &\multicolumn{1}{c|}{0.7274}  &\multicolumn{1}{c|}{0.7915} &\multicolumn{1}{c|}{0.8223} &\multicolumn{1}{c|}{0.8302} \\
        !            54: 
        !            55: $Wjj+jets\rightarrow$ $l\nu+jj+jets$ &\multicolumn{1}{c|}{0.5821}  &\multicolumn{1}{c|}{0.6337} &\multicolumn{1}{c|}{0.6586}&\multicolumn{1}{c|}{0.6652} \\
        !            56: 
        !            57: $Wbb+jets\rightarrow$ $l\nu+bb+jets$ &\multicolumn{1}{c|}{0.5948}  &\multicolumn{1}{c|}{0.6475}&\multicolumn{1}{c|}{0.6729}&\multicolumn{1}{c|}{0.6796} \\
        !            58: 
        !            59: $Wcc+jets\rightarrow$ $l\nu+cc+jets$ &\multicolumn{1}{c|}{0.5912}  &\multicolumn{1}{c|}{0.6435}&\multicolumn{1}{c|}{0.6687}&\multicolumn{1}{c|}{0.6754} \\
        !            60: 
        !            61: $Zjj+jets\rightarrow$ $ee+jj+jets$ &\multicolumn{1}{c|}{0.6769}  &\multicolumn{1}{c|}{0.7363}&\multicolumn{1}{c|}{0.7646}&\multicolumn{1}{c|}{0.7719} \\
        !            62: 
        !            63: $Zbb+jets\rightarrow$ $ee+bb+jets$ &\multicolumn{1}{c|}{0.4331}  &\multicolumn{1}{c|}{0.4712}&\multicolumn{1}{c|}{0.4895}&\multicolumn{1}{c|}{0.4943} \\
        !            64: 
        !            65: $Zcc+jets\rightarrow$ $ee+cc+jets$ &\multicolumn{1}{c|}{0.6167} &\multicolumn{1}{c|}{0.6746}&\multicolumn{1}{c|}{0.7035}&\multicolumn{1}{c|}{0.7127} \\
        !            66: 
        !            67: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$ &\multicolumn{1}{c|}{0.6641}  &\multicolumn{1}{c|}{0.7233}&\multicolumn{1}{c|}{0.7520}&\multicolumn{1}{c|}{0.7598} \\
        !            68: 
        !            69: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$ &\multicolumn{1}{c|}{0.6057}  &\multicolumn{1}{c|}{0.6598}&\multicolumn{1}{c|}{0.6860}&\multicolumn{1}{c|}{0.6931} \\
        !            70: 
        !            71: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$ &\multicolumn{1}{c|}{0.5817}  &\multicolumn{1}{c|}{0.6335}&\multicolumn{1}{c|}{0.6585}&\multicolumn{1}{c|}{0.6653} \\
        !            72: 
        !            73: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$ &\multicolumn{1}{c|}{0.5712} &\multicolumn{1}{c|}{0.6220}&\multicolumn{1}{c|}{0.6465}&\multicolumn{1}{c|}{0.6530} \\
        !            74: 
        !            75: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$ &\multicolumn{1}{c|}{0.6049}  &\multicolumn{1}{c|}{0.6586}&\multicolumn{1}{c|}{0.6845}&\multicolumn{1}{c|}{0.6914} \\
        !            76: 
        !            77: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$ &\multicolumn{1}{c|}{0.5889}  &\multicolumn{1}{c|}{0.6410}&\multicolumn{1}{c|}{0.6661}&\multicolumn{1}{c|}{0.6727} \\
        !            78: 
        !            79: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$ &\multicolumn{1}{c|}{0.5739}&\multicolumn{1}{c|}{0.6241}&\multicolumn{1}{c|}{0.6480}&\multicolumn{1}{c|}{0.6541} \\
        !            80: 
        !            81: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$ &\multicolumn{1}{c|}{0.6012} &\multicolumn{1}{c|}{0.6539}&\multicolumn{1}{c|}{0.6790}&\multicolumn{1}{c|}{0.6854} \\
        !            82: 
        !            83: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$ &\multicolumn{1}{c|}{0.6360}&\multicolumn{1}{c|}{0.6914}&\multicolumn{1}{c|}{0.7177}&\multicolumn{1}{c|}{0.7242} \\ \hline
        !            84: \end{tabular}
        !            85: \caption{Mean values of the trigger weight for all MC samples.}
        !            86: \end{center}
        !            87: \label{trig_weight} 
        !            88: \end{table}
        !            89: 
        !            90: 
        !            91: For this trigger we also measured the luminosity of our
        !            92: data sample. Table \ref{lumi} shows the results for both v15 and v16 trigger versions.
        !            93: 
        !            94: %\newpage
        !            95: %
        !            96: \begin{table}[h]
        !            97: %\begin{ruledtabular}
        !            98: \begin{tabular}{|crrrr|}
        !            99: %\begin{center}
        !           100: \hline 
        !           101: Trigger version&
        !           102: Trigger name&
        !           103: Delivered $\mathcal{L}$ ($pb^{-1})$& 
        !           104: Recorded $\mathcal{L}$ ($pb^{-1})$& 
        !           105: Reconstructed $\mathcal{L}$ ($pb^{-1})$
        !           106: \tabularnewline
        !           107: \hline
        !           108: \hline 
        !           109: V15.0 - V15.99& JT2\_3JT15L\_IP\_VX&            1682.08&  1544.71&  1385.99
        !           110: \tabularnewline
        !           111: V16.0 - V16.99& JT2\_3JT15L\_IP\_VX&            4059.92&  3887.95&  3565.86
        !           112: \tabularnewline
        !           113: \hline
        !           114: T O T A L&         &              5742.00& 5432.66&  4951.85
        !           115: \tabularnewline
        !           116: \hline
        !           117: %\end{center}
        !           118: \end{tabular}
        !           119: %\end{ruledtabular}
        !           120: \caption{The results of luminosity calculation for the Run2b 3JET data skim for different D0 trigger list versions}
        !           121: \label{lumi} 
        !           122: \end{table}
        !           123: 
        !           124: \newpage
        !           125: 
        !           126: \subsection{\label{sub:background}\boldmath Backgrounds}
        !           127: 
        !           128: In this analysis the largest background sources are QCD ({}``fake
        !           129: $\tau$''), which is estimated from data and  $W/Z$+jets, which are simulated Monte Carlo samples.
        !           130: Other backgrounds that were not included in this analysis due to their small contribution are single top and diboson production.
        !           131: A list of backgrounds sources is found in Section III of \cite{p17_note}.
        !           132: In the following sections we describe both signal and background simulation.
        !           133: 
        !           134: 
        !           135: \subsection{\label{sub:mcsample}\boldmath Monte Carlo Samples}
        !           136: 
        !           137: \noindent We use p20 certified MC samples as produced by CSG and caffed with p21.11.00 (version3) \cite{3jet_mc}. 
        !           138: All $W/Z$ and $t\bar{t}$ were 
        !           139: generated with ALPGEN v2.11 \cite{alpgen} interfaced with Pythia v6.409 \cite{pythia} 
        !           140: for production of parton-level showers and hadronization.
        !           141: EvtGen \cite{evtgen} is used to model b hadrons decays and TAUOLA \cite{tauola} used to model tau leptons decays.
        !           142: 
        !           143: 
        !           144: \noindent ALPGEN is a leading order (LL) generator. In order to correct it to match with 
        !           145: next-to-leading order (NLO) cross sections we apply {\it correction factors}  and then provide
        !           146: a correct normalization. These correction factors were taken from {\tt vjets$\_$cafe} framework and are described 
        !           147: in Ref.\cite{kfactor}. There are two kinds of correction factors: {\it k-factors}, which
        !           148: are the result of the ratio between NLO and LL cross sections ($\sigma_{NLO}/\sigma_{LL}$) and
        !           149: {\it heavy flavor factors}, which are in turn the ratio between k-factors for $HF+0lp(incl)$
        !           150: and $2lp(incl)$ process from MCFM \cite{mcfm}. Here $HF$ denotes $Z + bb$, $Z + cc$, $W + bb$ or $W + cc$ and $lp$ stands
        !           151: for {\it light parton}. Heavy flavor factors are applied on the top of k-factors in order to provide the correct
        !           152: normalization for process where heavy quarks are present.
        !           153: For $Z$ production, samples are split 
        !           154: into $Z$ + light jets, $Z + bb$ and $Z + cc$. $Z$ + light parton
        !           155: cross sections are multiplied by a k-factor of 1.3, while $Z + bb$ and $Z+ cc$ are multiplied by additional
        !           156: heavy flavor factors of 1.52 and 1.67 respectively.
        !           157: $W$ + jets samples are also split the same way: $W$ + light jets, $W + bb$ and $W + cc$. In $W$ + light jets
        !           158: case a k-factor of 1.3 is applied while an additional heavy flavor factor of 1.47 is applied to 
        !           159: both $W + bb$ and $W + cc$ samples.
        !           160: %Table \ref{kxsec} summarizes factors applied.
        !           161: 
        !           162: Table IV summarizes the correction factors applied.
        !           163: 
        !           164: \begin{table}[htbp]
        !           165: \begin{center}
        !           166: \begin{tabular}{|c|r|} \hline
        !           167: Process   & k-factor        \\ \hline
        !           168: 
        !           169: \hline
        !           170: 
        !           171: 
        !           172: W + light partons     &  \multicolumn{1}{c|}{1.3}   \\ \hline
        !           173: 
        !           174: 
        !           175: W + bb      &  \multicolumn{1}{c|}{1.3$\times$1.47} \\ \hline
        !           176: 
        !           177: 
        !           178: W + cc     &  \multicolumn{1}{c|}{1.3$\times$1.47}   \\ \hline
        !           179: 
        !           180: 
        !           181: Z + light partons     &  \multicolumn{1}{c|}{1.3}   \\ \hline
        !           182: 
        !           183: 
        !           184: Z + bb      &  \multicolumn{1}{c|}{1.3$\times$1.52} \\ \hline
        !           185: 
        !           186: 
        !           187: Z + cc     &  \multicolumn{1}{c|}{1.3$\times$1.67}   \\ \hline
        !           188: 
        !           189: \end{tabular}
        !           190: \caption{k-factors for MC.}
        !           191: \end{center}
        !           192: \label{kxsec} 
        !           193: \end{table}
        !           194: 
        !           195: All MC samples used in this analysis are shown in Table \ref{used_mc} with theirs respective cross sections 
        !           196: and number of events. The cross sections shown are the averages of the cross-sections of
        !           197: each set of MC process generated and are calculated from /caf$\_$mc$\_$util/mc$\_$sample$\_$info/MC.list
        !           198: 
        !           199: \clearpage
        !           200: 
        !           201: \begin{table}[h]
        !           202: %\begin{center}
        !           203: \begin{tabular}{|crr|}
        !           204: \hline
        !           205: Sample & $\sigma(pb)$ & \# of Events \\ \hline
        !           206: $t+t+0lp-l\nu+2b+2lpc\_\mbox{excl}\_m172$  & 1.392196 &  $ 793267 $ \\ 
        !           207: $t+t+1lp-l\nu+2b+3lpc\_\mbox{excl}\_m172$ & .576927 &  $ 456317 $  \\
        !           208: $t+t+2lp-l\nu+2b+4lpc\_\mbox{incl}\_m172$ & .281831 &  $ 277912 $   \\
        !           209: $\mbox{W}+0lp\rightarrow lnu+0lp\_\mbox{excl}$ & 4530.269741 &  $ 47070044 $ \\
        !           210: $\mbox{W}+1lp\rightarrow lnu+1lp\_\mbox{excl}$  & 1283.094130 &  $ 20683540 $ \\ 
        !           211: $\mbox{W}+2lp\rightarrow lnu+2lp\_\mbox{excl}$ & 306.073315 &  $ 19686862 $  \\ 
        !           212: $\mbox{W}+3lp\rightarrow lnu+3lp\_\mbox{excl}$ & 73.494491 &  $ 4269023 $  \\ 
        !           213: $\mbox{W}+4lp\rightarrow lnu+4lp\_\mbox{excl}$ & 16.958254 &  $ 3084707 $\\ 
        !           214: $\mbox{W}+5lp\rightarrow lnu+5lp\_\mbox{incl}$ & 5.218917 &  $ 2565942 $ \\ 
        !           215: $\mbox{W}+2b+0lp\rightarrow l\nu+2b+0lp\_\mbox{excl}$  & 9.315458 &  $ 1120570 $ \\
        !           216: $\mbox{W}+2b+1lp\rightarrow l\nu+2b+1lp\_\mbox{excl}$ & 4.288365 &  $ 812095 $ \\
        !           217: $\mbox{W}+2b+2lp\rightarrow l\nu+2b+2lp\_\mbox{excl}$ & 1.554786 &  $ 563315 $ \\ 
        !           218: $\mbox{W}+2b+3lp\rightarrow l\nu+2b+3lp\_\mbox{incl}$ & 0.716175& $ 464475 $ \\
        !           219: $\mbox{W}+2b+0lp\rightarrow l\nu+2c+0lp\_\mbox{excl}$ & 24.404153 &  $ 934253 $ \\
        !           220: $\mbox{W}+2b+1lp\rightarrow l\nu+2c+1lp\_\mbox{excl}$ & 13.486806 &  $ 738709 $ \\
        !           221: $\mbox{W}+2b+2lp\rightarrow l\nu+2c+2lp\_\mbox{excl}$ & 5.459005 &  $ 554236 $ \\
        !           222: $\mbox{W}+2b+3lp\rightarrow l\nu+2c+3lp\_\mbox{incl}$ & 2.526973 &  $ 469900 $ \\
        !           223: $\gamma \mbox{Z}+0lp\rightarrow ee+0lp\_\mbox{excl}\_75\_130$ & 132.086811 &  $ 1212214 $ \\
        !           224: $\gamma \mbox{Z}+1lp\rightarrow ee+1lp\_\mbox{excl}\_75\_130$ & 40.060963 &  $ 599588 $ \\
        !           225: $\gamma \mbox{Z}+2lp\rightarrow ee+2lp\_\mbox{excl}\_75\_130$ & 9.981935 &  $ 298494 $ \\
        !           226: $\gamma \mbox{Z}+3lp\rightarrow ee+3lp\_\mbox{incl}\_75\_130$ & 3.297072 &  $ 150267 $ \\
        !           227: $\gamma \mbox{Z}+2b+0lp\rightarrow ee+2b+0lp\_\mbox{excl}\_75\_130$ & 0.400826 &  $ 200121 $ \\
        !           228: $\gamma \mbox{Z}+2b+1lp\rightarrow ee+2b+1lp\_\mbox{excl}\_75\_130$ & 0.173438 &  $ 97474 $ \\
        !           229: $\gamma \mbox{Z}+2b+2lp\rightarrow ee+2b+2lp\_\mbox{incl}\_75\_130$ & 0.107248 &  $ 48269 $ \\
        !           230: $\gamma \mbox{Z}+2c+0lp\rightarrow ee+2c+0lp\_\mbox{excl}\_75\_130$ & 0.900923 &  $ 182485 $ \\
        !           231: $\gamma \mbox{Z}+2c+1lp\rightarrow ee+2c+1lp\_\mbox{excl}\_75\_130$ & 0.506337 &  $ 89293 $ \\
        !           232: $\gamma \mbox{Z}+2b+2lp\rightarrow ee+2b+2lp\_\mbox{incl}\_75\_130$ & 0.285871 &  $ 47357 $ \\
        !           233: $\gamma \mbox{Z}+0lp\rightarrow \mu \mu+0lp\_\mbox{excl}\_75\_130$ & 133.850906 &  $ 1553222 $ \\
        !           234: $\gamma \mbox{Z}+1lp\rightarrow \mu \mu+1lp\_\mbox{excl}\_75\_130$ & 41.677185 &  $ 639392 $ \\
        !           235: $\gamma \mbox{Z}+2lp\rightarrow \mu \mu+2lp\_\mbox{excl}\_75\_130$ & 9.822132 &  $ 446737 $ \\
        !           236: $\gamma \mbox{Z}+3lp\rightarrow \mu \mu+3lp\_\mbox{incl}\_75\_130$ & 3.195801 &  $ 172628 $ \\
        !           237: $\gamma \mbox{Z}+2b+0lp\rightarrow \mu \mu+2b+0lp\_\mbox{excl}\_75\_130$ & 0.424239 &  $ 210139 $ \\
        !           238: $\gamma \mbox{Z}+2b+1lp\rightarrow \mu \mu+2b+1lp\_\mbox{excl}\_75\_130$ & 0.195271 &  $ 101055 $ \\
        !           239: $\gamma \mbox{Z}+2b+2lp\rightarrow \mu \mu+2b+2lp\_\mbox{incl}\_75\_130$ & 0.099004 &  $ 49600 $ \\
        !           240: $\gamma \mbox{Z}+2c+0lp\rightarrow \mu \mu+2c+0lp\_\mbox{excl}\_75\_130$ & 0.932203 &  $ 193928 $ \\
        !           241: $\gamma \mbox{Z}+2c+1lp\rightarrow \mu \mu+2c+1lp\_\mbox{excl}\_75\_130$ & 0.548182 &  $ 92744 $ \\
        !           242: $\gamma \mbox{Z}+2b+2lp\rightarrow \mu \mu+2b+2lp\_\mbox{incl}\_75\_130$ & 0.280795 &  $ 51277 $ \\
        !           243: $\gamma \mbox{Z}+0lp\rightarrow \tau \tau+0lp\_\mbox{excl}\_75\_130$ & 131.564780 &  $ 1556389 $ \\
        !           244: $\gamma \mbox{Z}+1lp\rightarrow \tau \tau+1lp\_\mbox{excl}\_75\_130$ & 40.300291 &  $ 595169 $ \\
        !           245: $\gamma \mbox{Z}+2lp\rightarrow \tau \tau+2lp\_\mbox{excl}\_75\_130$ & 10.072067 &  $ 305312 $ \\
        !           246: $\gamma \mbox{Z}+3lp\rightarrow \tau \tau+3lp\_\mbox{excl}\_75\_130$ & 3.089442 &  $ 205365 $ \\
        !           247: $\gamma \mbox{Z}+2b+0lp\rightarrow \tau \tau+2b+0lp\_\mbox{excl}\_75\_130$ & 0.423679 &  $ 196943 $ \\
        !           248: $\gamma \mbox{Z}+2b+1lp\rightarrow \tau \tau+2b+1lp\_\mbox{excl}\_75\_130$ & 0.196527 &  $ 103105 $ \\
        !           249: $\gamma \mbox{Z}+2b+2lp\rightarrow \tau \tau+2b+2lp\_\mbox{incl}\_75\_130$ & 0.103561 &  $ 48476 $ \\
        !           250: $\gamma \mbox{Z}+2c+0lp\rightarrow \tau \tau+2c+0lp\_\mbox{excl}\_75\_130$ & 0.898135 &  $ 260243 $ \\
        !           251: $\gamma \mbox{Z}+2c+1lp\rightarrow \tau \tau+2c+1lp\_\mbox{excl}\_75\_130$ & 0.487548 &  $ 100802 $ \\
        !           252: $\gamma \mbox{Z}+2b+2lp\rightarrow \tau \tau+2b+2lp\_\mbox{incl}\_75\_130$ & 0.297808 &  $ 50711 $ \\ 
        !           253: $\gamma \mbox{Z}+0lp\rightarrow \nu \nu+0lp\_\mbox{excl}$ & 806.552968 &  $ 2368495 $ \\
        !           254: $\gamma \mbox{Z}+1lp\rightarrow \nu \nu+1lp\_\mbox{excl}$ & 244.651772 &  $ 2591505 $ \\
        !           255: $\gamma \mbox{Z}+2lp\rightarrow \nu \nu+2lp\_\mbox{excl}$ & 61.014112 &  $ 657110 $ \\
        !           256: $\gamma \mbox{Z}+3lp\rightarrow \nu \nu+3lp\_\mbox{excl}$ & 14.091090 &  $ 194705 $ \\
        !           257: $\gamma \mbox{Z}+4lp\rightarrow \nu \nu+4lp\_\mbox{excl}$ & 3.277295 &  $ 100158 $ \\
        !           258: $\gamma \mbox{Z}+5lp\rightarrow \nu \nu+5lp\_\mbox{incl}$ & 0.936465 &  $ 49660 $ \\
        !           259: $\gamma \mbox{Z}+2b+0lp\rightarrow \nu \nu+2b+0lp\_\mbox{excl}$ & 2.562976 &  $ 375572$ \\
        !           260: $\gamma \mbox{Z}+2b+1lp\rightarrow \nu \nu+2b+1lp\_\mbox{excl}$ & 1.143703 &  $ 180558 $ \\
        !           261: $\gamma \mbox{Z}+2b+2lp\rightarrow \nu \nu+2b+2lp\_\mbox{incl}$ & 0.617265 &  $ 91588 $ \\
        !           262: $\gamma \mbox{Z}+2c+0lp\rightarrow \nu \nu+2c+0lp\_\mbox{excl}$ & 5.634504 &  $ 376456 $ \\
        !           263: $\gamma \mbox{Z}+2c+1lp\rightarrow \nu \nu+2c+1lp\_\mbox{excl}$ & 3.002712 &  $ 199012 $ \\
        !           264: $\gamma \mbox{Z}+2b+2lp\rightarrow \nu \nu+2b+2lp\_\mbox{incl}$ & 1.635746 &  $ 96147 $ \\\hline
        !           265: 
        !           266: \end{tabular}
        !           267: \caption{MC Samples. Here $l$ stands for the three lepton flavor ($e$, $\mu$ and $\tau$). $\tau$ decays are not restricted.}  
        !           268: %\end{center}
        !           269: \label{used_mc}
        !           270: \end{table}
        !           271: 
        !           272: \clearpage
        !           273: 
        !           274: \subsection{\label{sub:mcsample_xseccorr}\boldmath MC samples corrections}
        !           275: 
        !           276: Standard D\O\ corrections are applied to MC in order to obtain a better MC-data agreement \cite{top_sys}.
        !           277: 
        !           278: 
        !           279: \noindent {\bf Trigger efficiency}: an additional scale factor (weight) is applied to MC to account for the trigger efficiency in data. 
        !           280: Further details are given in Section \ref{sec:trig_param}.
        !           281: 
        !           282: \noindent {\bf Luminosity reweighting}: in order to reproduce luminosity effects from real data, simulated samples are overlaid to Zero Bias data
        !           283: Due to a difference in intantaneous luminosity between the overlay and real data, the luminosity profile of all
        !           284: MC samples is reweighted to match the luminosity profile in data \cite{lumireweight}.
        !           285: 
        !           286: \noindent {\bf Primary vertex reweighting}: $z$ vertex distributions are different between data and MC.This difference is corrected by reweighting
        !           287: MC $z$ vertex distributions using the reweight processor from the {\tt caf\_mc\_util} package \cite{PVz_re}.
        !           288: 
        !           289: \noindent {\bf $W$ and $Z$ $p_{T}$ reweighting}: for both $W$ + jets and $Z$ + jets, the $p_{T}$ distribution from MC samples is reweighted to match 
        !           290: the equivalent distribution in data, accordingly to the standard way \cite{WZPt_re}.
        !           291: 
        !           292: \noindent {\bf b fragmentation}: the systematics on the reweight of the b-fragmentation function from the default in Pythia
        !           293: to the value tuned to reproduce collider data was assumed to be the symmetrized difference between
        !           294: the AOD and SLD tunes \cite{bfrag}.
        !           295: 
        !           296: \noindent {\bf Jet Shifting Smearing and Removing (JSSR)}: due to differences in energy scale, resolution, reconstruction and identification
        !           297: between data and MC, MC jets are shifted, smeared and possibly removed using standard JSSR 
        !           298: processor \cite{jssr}. In this analysis shifting is turned off to signal $t\bar{t}$
        !           299: and on to $W/Z$ + jets samples.
        !           300: 
        !           301: 
        !           302: \noindent {\bf Tau Energy Scale (TES)}: due to the analysis sensitivity to any difference between data and MC
        !           303: in the energy scale of taus decaying hadronically we apply a $E/p$ correction to this energy scale
        !           304: as described in \cite{tes}.
        !           305: 
        !           306: %\subsubsection{\label{sub:hadtau_corr}\boldmath Hadronic $\tau$ corrections}
        !           307: 
        !           308: %\begin{itemize}
        !           309: %\item E/p correction for hadronic tau relative tau energy scale from package {\tt caf\_util}.
        !           310: %\item NN corrections from package {\tt tauid\_eff}.
        !           311: %\item Track corrections from package {\tt muid\_eff}.
        !           312: %\end{itemize}
        !           313: 
        !           314: 
        !           315: 
        !           316: %\clearpage

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