Annotation of ttbar/p20_taujets_note/Preselection.tex, revision 1.2

1.1       uid12904    1: \section{Analysis outline}
                      2: Up to this point we have presented the data sample used in this analysis (Section \ref{sub:datasample})
                      3: the Monte Carlo samples and corrections applied to them (Sections \ref{sub:mcsample} and \ref{sub:mcsample_xseccorr}),
                      4: the trigger used and its simulation (Section \ref{sec:trig_param}) and the object ID
                      5: method (Section \ref{sec:objects}). Now we describe the next steps of the analysis
1.2     ! uid12904    6: towards the final cross section measurement:
1.1       uid12904    7: 
                      8: \begin{itemize}
                      9: \item Preselection (section \ref{sub:Preselection}): at least 4 jets, at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV/$c$,
                     10: 15 GeV $\leq$ $\not\!\! E_{T}$ $\leq$ 500 GeV and $\not\!\! E_{T}$ significance $>$4.0. 
                     11: \item $\tau$- and b-ID cuts (section \ref{sub:Results-of-the}): at least one good $\tau$ lepton 
                     12: candidate and at least one tight NN b-tag are required.  
                     13: \item Topological NN (section \ref{sub:NN-variables}): a
                     14: feed-forward NN's is trained in order to provide signal-background separation. The NN
                     15: was optimized by testing different sets of topological variables as its inputs and by applying
                     16: different $\not\!\! E_{T}$ significance cuts.
                     17: \item Topological Variables (section \ref{sub:Topo}): section showing final analysis plots of topological
                     18: variables of interest.
                     19: \item Cross Section (section \ref{sub:xsect}) The signal fraction determination is 
1.2     ! uid12904   20: combined with the integrated luminosity measurement to calculate the cross section.  
        !            21: The systematic errors are estimated by changing
        !            22: the values up-down by 1 sigma independently for each component
        !            23: at a time and then propagating them through the entire procedure. 
1.1       uid12904   24: \end{itemize}
                     25: 
                     26: \section{\label{sub:Preselection}Preselection}
                     27: 
                     28: The preselection is the first step of the analysis. The cuts presented here were chosen in order to provide the best
                     29: background reduction and enhance the $t\bar{t}$  content at this point. The cuts are the similar to those used in the 
1.2     ! uid12904   30: p17 analysis \cite{p17_note} except that this time we optimized the value of $\not\!\! E_{T}$ 
1.1       uid12904   31: significance along with the sets of variables we used as inputs to NN training (Section \ref{sub:NN}). 
                     32: Cuts shown below were applied to samples shown in Table \ref{used_mc} as well as to data as shown in Section \ref{sub:datasample}.
                     33: 
                     34: %\begin{itemize}
                     35: %\item One $\tau$ lepton. 
                     36: %\item $\not\!\! E_{T}$ arising from both the W vertex and $\tau$
                     37: %decay. 
                     38: %\item At least 4 jets including two $b$-jets. 
                     39: %\end{itemize}
                     40: 
                     41: \begin{itemize}
1.2     ! uid12904   42: \item Duplicate event removal and event quality
        !            43: \item At least 4 jets with $p_{T}>15$ GeV and $|\eta| <$2.5, with leading (in $p_{T}$) jet $p_{T}>35$ GeV and second and third jets have $p_{T}>25$ GeV
1.1       uid12904   44: \item at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV 
                     45: \item 15 GeV $\leq$ $\not\!\! E_{T}$ $\leq$ 500 GeV
1.2     ! uid12904   46: \item $\not\!\! E_{T}$ significance $\geq$ 4.0.Missing transverse energy significance is a 
        !            47: measure of the likelihood of $\not\!\! E_{T}$
        !            48: arising from physical sources. It is computed from calculated resolutions of physical objects (jets, electrons,
        !            49: muons and unclustered energy) \cite{p17_note,METsig}.
        !            50: \item Vertex selection: at least 3 tracks and $|z_{max}|$ = 60 cm.
        !            51: 
1.1       uid12904   52: \item No isolated electron or muon. This is done in order to ensure orthogonality with other \dzero \hspace{1pt} 
                     53: measurements (\cite{l+jets} and \cite{dilepton}) - events that pass the lepton preselection cuts from these measurements 
                     54: were vetoed. Also events that pass the all-jets analysis preselection cuts (described in the alljet analysis note \cite{alljet}) 
                     55: are rejected here.
                     56: \end{itemize}
                     57: 
                     58:  
                     59: 
                     60: %\begin{figure}
                     61: %\label{cap:metl}
                     62: %\includegraphics[scale=0.6]{plots/metl}% Here is how to import EPS art
                     63: %\caption{$\not\!\! E_{T}$ significance for QCD-dominated data (black), $W+jets$ (blue) and $t\bar{t}\rightarrow\tau+jets$ (red).}
                     64: %\label{cap:met_significance} 
                     65: %\end{figure}
                     66: 
                     67: Among all preselection cuts one of them requires a more detailed description at this point since it represents
                     68: an improvement upon the old p17 analysis: $\not\!\! E_{T}$ significance.
1.2     ! uid12904   69: . Initially no $\not\!\! E_{T}$ significance
1.1       uid12904   70: was applied neither on MC nor on data. In this analysis we decided
                     71: to optimize the $\not\!\! E_{T}$ significance cut along with the NN optimization itself. 
                     72: After finishing the $\not\!\! E_{T}$ significance optimization 
                     73: part we went back and applied the optimized cut along with the non-optimized NNelec cut only to MC. 
                     74: The entire optimization procedure is described in Section \ref{sub:NN-optimization}.
                     75: 
                     76: 
                     77: In data, initially the sample contained approximately 650 million events and the number of preselected events
                     78: (once again, without $\not\!\! E_{T}$ significance applied) is approximately 2.8 million events.
                     79: 
                     80: 
                     81: Another relevant aspect of the preselection is the usage of Particle Selector (only applied to MC samples). 
1.2     ! uid12904   82: In this step we select a specific $\ttbar$ final state, namely, we split $W$ decay 
1.1       uid12904   83: into $W \rightarrow e/\mu /\tau $ and 
1.2     ! uid12904   84: tracked separate efficiencies for each of these processes. In this step we selected hadronic decays of tau.
        !            85: Events where the tau decays into an electron or a muon were put into $e + jets$ and $\mu + jets$ samples.
        !            86: As in p17, we decided to not split the dilepton sample in different lepton flavors.
1.1       uid12904   87: 
                     88: As previously described, $t\bar{t}$ were generated by ALPGEN. In ALPGEN, different process with different
1.2     ! uid12904   89: numbers of partons have different cross sections and number of events. This fact must be taken into account when calculating the 
        !            90: efficiencies, namely, efficiencies must be properly scaled to the luminosity of the sample (4951.85 pb$^{-1}$). Tables 
        !            91: 7 and 8 show the ALPGEN weights for $t\bar{t} \rightarrow$ lepton + jets
1.1       uid12904   92: %VI and VII show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets
                     93: and $t\bar{t} \rightarrow$ dilepton respectively.
                     94: 
                     95: \begin{table}[h]
                     96: \begin{center}
                     97: \begin{tabular}{|c|r|r|r|} \hline
1.2     ! uid12904   98: Process   & \# of events & cross section (pb) & alpgen weight    \\ \hline
1.1       uid12904   99: 
                    100: \hline
                    101: 
                    102: 
1.2     ! uid12904  103: $t\bar{t}$ + 0 light parton     &  \multicolumn{1}{c|}{777068}   &  \multicolumn{1}{c|}{1.400} &  \multicolumn{1}{c|}{0.00892}  \\ \hline
1.1       uid12904  104: 
                    105: 
1.2     ! uid12904  106: $t\bar{t}$ + 1 light parton      &  \multicolumn{1}{c|}{457782} &  \multicolumn{1}{c|}{0.577} &  \multicolumn{1}{c|}{0.00624} \\ \hline
1.1       uid12904  107: 
                    108: 
1.2     ! uid12904  109: $t\bar{t}$ + $\geq$ 2 light partons     &  \multicolumn{1}{c|}{321166}   &  \multicolumn{1}{c|}{0.267} &  \multicolumn{1}{c|}{0.00412} \\ \hline
1.1       uid12904  110: \end{tabular}
                    111: \caption{$t\bar{t} \rightarrow$ lepton + jets ALPGEN weights.}
                    112: \end{center}
                    113: \label{ttbar_alp} 
                    114: \end{table}
                    115: 
                    116: 
                    117: \begin{table}[h]
                    118: \begin{center}
                    119: \begin{tabular}{|c|r|r|r|} \hline
1.2     ! uid12904  120: Process   & \# of events & cross section (pb) & alpgen weight    \\ \hline
1.1       uid12904  121: 
                    122: \hline
                    123: 
                    124: 
                    125: 0 light parton     &  \multicolumn{1}{c|}{749642}   &  \multicolumn{1}{c|}{0.352} &  \multicolumn{1}{c|}{0.00233}  \\ \hline
                    126: 
                    127: 
                    128: 1 light parton      &  \multicolumn{1}{c|}{452177} &  \multicolumn{1}{c|}{0.142} &  \multicolumn{1}{c|}{0.00156} \\ \hline
                    129: 
                    130: 
                    131: $\geq$ 2 light partons     &  \multicolumn{1}{c|}{281453}   &  \multicolumn{1}{c|}{0.068} &  \multicolumn{1}{c|}{0.00119} \\ \hline
                    132: \end{tabular}
                    133: \caption{$t\bar{t} \rightarrow$ dilepton ALPGEN weights.}
                    134: \end{center}
                    135: \label{dilep_alp} 
                    136: \end{table}
                    137: 
                    138: Tables \ref{taujets_cutflow}, \ref{ejets_cutflow}, \ref{mujets_cutflow} and
                    139: \ref{dilep_cutflow} show cut flows for all preselection cuts applied to different $\ttbar$ decays 
                    140: (only statistical uncertainties are shown).
                    141: 
                    142: %
                    143: 
                    144: \begin{table}[h]
                    145: %\begin{center}
                    146: \begin{tabular}{ccccc}
                    147: \hline
                    148: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    149: Particle selector & 2412 &  $ 21.60 \pm 0.03 ~\% $ &  $ 21.60 \pm 0.03~\% $ \\
                    150: Duplicate events removal & 2411 &  $ 99.98 \pm 0.01 ~\% $ &  $ 21.60 \pm 0.03~\% $ \\
                    151: Event quality & 2315 &  $ 96.00 \pm 0.04 ~\% $ &  $ 20.74 \pm 0.03~\% $   \\
                    152: Jet selection & 1307 &  $ 59.45 \pm 0.09 ~\% $ &  $ 11.70 \pm 0.03~\% $  \\ 
                    153: Vertex selection & 1296 &  $ 99.18 \pm 0.02 ~\% $ &  $ 11.61 \pm 0.03~\% $  \\ 
                    154: Electron veto & 1282 &  $ 98.93 \pm 0.01 ~\% $ &  $ 11.49 \pm 0.03~\% $ \\ 
                    155: Muon veto & 1282 &  $ 99.93 \pm 0.01 ~\% $ &  $ 11.48 \pm 0.03~\% $ \\ 
                    156: MET selection & 1218 &  $ 95.05 \pm 0.05 ~\% $ &  $ 10.91 \pm 0.02~\% $  \\ 
                    157: MET significance & 772 &  $ 63.39 \pm 0.12 ~\% $ &  $ 6.92 \pm 0.02~\% $  \\
1.2     ! uid12904  158: tau selection & 394 &  $ 53.51 \pm 0.15 ~\% $ &  $ 3.70 \pm 0.02~\% $  \\ \hline
1.1       uid12904  159: 
                    160: \end{tabular}
                    161: \caption{Preselection $t\overline{t}\rightarrow\tau+jets$ cut flow} 
                    162: %\end{center}
                    163: \label{taujets_cutflow}
                    164: \end{table}
                    165: 
                    166: %\newpage
                    167: 
                    168: \begin{table}[t]
                    169: %\begin{center}
                    170: \begin{tabular}{ccccc}
                    171: \hline
                    172: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    173: Particle selector & 4385 &  $ 39.28 \pm 0.04 ~\% $ &  $ 39.28 \pm 0.04~\% $ \\
                    174: Duplicate event removal & 4383 &  $ 99.96 \pm 0.01 ~\% $ &  $ 39.26 \pm 0.04~\% $ \\
                    175: Event quality & 4207 &  $ 95.97 \pm 0.03 ~\% $ &  $ 37.68 \pm 0.04~\% $   \\
                    176: Jet selection & 1923 &  $ 45.71 \pm 0.07 ~\% $ &  $ 17.22 \pm 0.03~\% $  \\ 
                    177: Vertex selection & 1907 &  $ 99.20 \pm 0.02 ~\% $ &  $ 17.08 \pm 0.03~\% $  \\ 
                    178: Electron veto & 1048 &  $ 54.94 \pm 0.10 ~\% $ &  $ 9.39 \pm 0.02~\% $ \\ 
                    179: Muon veto & 1047 &  $ 99.95 \pm 0.01 ~\% $ &  $ 9.38 \pm 0.02~\% $ \\ 
                    180: MET selection & 1002 &  $ 95.64 \pm 0.05~\% $ &  $ 8.97 \pm 0.02~\% $  \\ 
                    181: MET significance & 669 &  $ 66.74 \pm 0.13 ~\% $ &  $ 5.99 \pm 0.02~\% $  \\
1.2     ! uid12904  182: tau selection & 395 &  $ 59.12 \pm 0.16 ~\% $ &  $ 3.54 \pm 0.02~\% $  \\ \hline
1.1       uid12904  183: 
                    184: \end{tabular}
                    185: \caption{Preselection $t\overline{t}\rightarrow e+jets$ cut flow}
                    186: %\end{center}
                    187: \label{ejets_cutflow}
                    188: \end{table}
                    189: 
                    190: %\clearpage
                    191: 
                    192: \begin{table}[t]
                    193: %\begin{center}
                    194: \begin{tabular}{ccccc}
                    195: \hline
                    196: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    197: Particle selector & 4367 &  $ 39.12 \pm 0.04 ~\% $ &  $ 39.12 \pm 0.04~\% $ \\
                    198: Duplicate event removal & 4366 &  $ 99.96 \pm 0.04 ~\% $ &  $ 39.10 \pm 0.04~\% $ \\
                    199: Event quality & 4189 &  $  95.95 \pm 0.03 ~\% $ &  $ 37.52 \pm 0.04~\% $   \\
                    200: Jet selection & 1990 &  $ 47.52 \pm 0.07 ~\% $ &  $ 17.83 \pm 0.03~\% $  \\ 
                    201: Vertex selection & 1975 &  $ 99.23 \pm 0.02 ~\% $ &  $ 17.69 \pm 0.03~\% $  \\ 
                    202: Electron veto & 1967 &  $ 99.59 \pm 0.01 ~\% $ &  $ 17.62 \pm 0.03~\% $ \\ 
                    203: Muon veto &  1170 &  $ 59.48 \pm 0.09 ~\% $ &  $ 10.48 \pm 0.02~\% $ \\ 
                    204: MET selection & 1127 &  $ 96.31 \pm 0.04~\% $ &  $ 10.09 \pm 0.02~\% $  \\ 
                    205: MET significance & 812 &  $ 72.06 \pm 0.11 ~\% $ &  $ 7.27 \pm 0.02~\% $  \\
1.2     ! uid12904  206: tau selection & 186 &  $ 22.95 \pm 0.13 ~\% $ &  $ 1.67 \pm 0.01~\% $  \\ \hline
1.1       uid12904  207: 
                    208: \end{tabular}
                    209: \caption{Preselection $t\overline{t}\rightarrow \mu +jets$ cut flow}
                    210: %\end{center}
                    211: \label{mujets_cutflow}
                    212: \end{table}
                    213: 
                    214: 
                    215: \begin{table}[b]
                    216: %\begin{center}
                    217: \begin{tabular}{ccccc}
                    218: \hline
                    219: Selection & Events & Relative  & Cumulative \\ \hline Initial & 2799 & &  \\ 
                    220: Particle selector & 2799 &  $ 100.00 \pm 0.00 ~\% $ &  $ 100.00 \pm 0.00~\% $ \\
                    221: Duplicate event removal & 2799 &  $ 100.00 \pm 0.00 ~\% $ &  $ 100.00 \pm 0.00~\% $ \\
                    222: Event quality & 2685 &  $ 95.92 \pm 0.02 ~\% $ &  $ 95.92 \pm 0.02~\% $   \\
                    223: Jet selection & 145 &  $ 5.41 \pm 0.02 ~\% $ &  $ 5.19 \pm 0.02~\% $  \\ 
                    224: Vertex selection & 144 &  $ 99.32 \pm 0.03 ~\% $ &  $ 5.16 \pm 0.02~\% $  \\ 
                    225: Electron veto & 110 &  $ 76.14 \pm 0.13 ~\% $ &  $ 3.93 \pm 0.01~\% $ \\ 
                    226: Muon veto & 83 &  $ 75.08 \pm 0.16 ~\% $ &  $ 2.95 \pm 0.01~\% $ \\ 
                    227: MET selection & 80 &  $ 96.45 \pm 0.08~\% $ &  $ 2.84 \pm 0.01~\% $  \\ 
                    228: MET significance & 60 &  $ 75.32 \pm 0.19 ~\% $ &  $ 2.14 \pm 0.01~\% $  \\
1.2     ! uid12904  229: tau selection & 38 &  $ 63.21 \pm 0.24 ~\% $ &  $ 1.35 \pm 0.01~\% $  \\ \hline
1.1       uid12904  230: 
                    231: \end{tabular}
                    232: \caption{Preselection $t\overline{t}\rightarrow l+l$ cut flow}
                    233: %\end{center}
                    234: \label{dilep_cutflow}
                    235: \end{table}
                    236: 
                    237: \clearpage
                    238: 
                    239: 
                    240: 
                    241: %\clearpage

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