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

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
                      6: towards the final crosse section measurement:
                      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 
                     20: combined with integrated luminosity measurement to calculate the cross section.  
                     21: Systematic uncertainties are determined by fluctuating the significant components 
                     22: up and down by one standard deviation one at a time, propagating it through the entire procedure. 
                     23: \end{itemize}
                     24: 
                     25: \section{\label{sub:Preselection}Preselection}
                     26: 
                     27: The preselection is the first step of the analysis. The cuts presented here were chosen in order to provide the best
                     28: background reduction and enhance the $t\bar{t}$  content at this point. The cuts are the similar to those used in the 
                     29: p17 analysis \cite{p17_note} except that for this time we opted to optimize the value of $\not\!\! E_{T}$ 
                     30: significance along with the sets of variables we used as inputs to NN training (Section \ref{sub:NN}). 
                     31: 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}.
                     32: 
                     33: %\begin{itemize}
                     34: %\item One $\tau$ lepton. 
                     35: %\item $\not\!\! E_{T}$ arising from both the W vertex and $\tau$
                     36: %decay. 
                     37: %\item At least 4 jets including two $b$-jets. 
                     38: %\end{itemize}
                     39: 
                     40: \begin{itemize}
                     41: \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
                     42: \item at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV 
                     43: \item 15 GeV $\leq$ $\not\!\! E_{T}$ $\leq$ 500 GeV
                     44: \item $\not\!\! E_{T}$ significance $\geq$ 4.0 
                     45: \item No isolated electron or muon. This is done in order to ensure orthogonality with other \dzero \hspace{1pt} 
                     46: measurements (\cite{l+jets} and \cite{dilepton}) - events that pass the lepton preselection cuts from these measurements 
                     47: were vetoed. Also events that pass the all-jets analysis preselection cuts (described in the alljet analysis note \cite{alljet}) 
                     48: are rejected here.
                     49: \end{itemize}
                     50: 
                     51:  
                     52: 
                     53: %\begin{figure}
                     54: %\label{cap:metl}
                     55: %\includegraphics[scale=0.6]{plots/metl}% Here is how to import EPS art
                     56: %\caption{$\not\!\! E_{T}$ significance for QCD-dominated data (black), $W+jets$ (blue) and $t\bar{t}\rightarrow\tau+jets$ (red).}
                     57: %\label{cap:met_significance} 
                     58: %\end{figure}
                     59: 
                     60: Among all preselection cuts one of them requires a more detailed description at this point since it represents
                     61: an improvement upon the old p17 analysis: $\not\!\! E_{T}$ significance.
                     62: Missing transverse energy significance is a measure of the likelihood of $\not\!\! E_{T}$
                     63: arising from physical sources. It is computed from calculated resolutions of physical objects (jets, electrons,
                     64: muons and unclustered energy) \cite{p17_note,METsig}. Initially no $\not\!\! E_{T}$ significance
                     65: was applied neither on MC nor on data. In this analysis we decided
                     66: to optimize the $\not\!\! E_{T}$ significance cut along with the NN optimization itself. 
                     67: After finishing the $\not\!\! E_{T}$ significance optimization 
                     68: part we went back and applied the optimized cut along with the non-optimized NNelec cut only to MC. 
                     69: The entire optimization procedure is described in Section \ref{sub:NN-optimization}.
                     70: 
                     71: 
                     72: In data, initially the sample contained approximately 650 million events and the number of preselected events
                     73: (once again, without $\not\!\! E_{T}$ significance applied) is approximately 2.8 million events.
                     74: 
                     75: 
                     76: Another relevant aspect of the preselection is the usage of Particle Selector (only applied to MC samples). 
                     77: In this step we aimed to select a particular $\ttbar$ final state, namely, we split $W$ decay 
                     78: into $W \rightarrow e/\mu /\tau $ and 
                     79: tracked separate efficiencies for each of these processes. In this step we selected hadronic decays of tau,
                     80: and at the same events where tau decays into electrons and muons were put into $e + jets$ and $\mu + jets$ samples.
                     81: As in p17, we decided to do not split the dilepton sample in different lepton flavors.
                     82: 
                     83: Before proceeding to the next step, it is important to describe the result of the preselection
                     84: in terms of its efficiencies since all the rest of analysis strongly depends on the cuts applied at this level. 
                     85: As previously described, $t\bar{t}$ were generated by ALPGEN. In ALPGEN, different process with different
                     86: numbers of partons have different cross-sections and number of events. This fact must be taken into account when calculating the 
                     87: efficiencies, namely, efficiencies must be properly scaled to the luminosity (4951.85 pb$^{-1}$) of the sample. Tables 
                     88: \ref{ttbar_alp} and III show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets
                     89: %VI and VII show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets
                     90: and $t\bar{t} \rightarrow$ dilepton respectively.
                     91: 
                     92: \begin{table}[h]
                     93: \begin{center}
                     94: \begin{tabular}{|c|r|r|r|} \hline
                     95: Process   & \# of events & cross-section (pb) & alpgen weight    \\ \hline
                     96: 
                     97: \hline
                     98: 
                     99: 
                    100: 0 light parton     &  \multicolumn{1}{c|}{777068}   &  \multicolumn{1}{c|}{1.4} &  \multicolumn{1}{c|}{0.00892}  \\ \hline
                    101: 
                    102: 
                    103: 1 light parton      &  \multicolumn{1}{c|}{457782} &  \multicolumn{1}{c|}{0.577} &  \multicolumn{1}{c|}{0.00624} \\ \hline
                    104: 
                    105: 
                    106: $\geq$ 2 light partons     &  \multicolumn{1}{c|}{321166}   &  \multicolumn{1}{c|}{0.267} &  \multicolumn{1}{c|}{0.00412} \\ \hline
                    107: \end{tabular}
                    108: \caption{$t\bar{t} \rightarrow$ lepton + jets ALPGEN weights.}
                    109: \end{center}
                    110: \label{ttbar_alp} 
                    111: \end{table}
                    112: 
                    113: 
                    114: \begin{table}[h]
                    115: \begin{center}
                    116: \begin{tabular}{|c|r|r|r|} \hline
                    117: Process   & \# of events & cross-section (pb) & alpgen weight    \\ \hline
                    118: 
                    119: \hline
                    120: 
                    121: 
                    122: 0 light parton     &  \multicolumn{1}{c|}{749642}   &  \multicolumn{1}{c|}{0.352} &  \multicolumn{1}{c|}{0.00233}  \\ \hline
                    123: 
                    124: 
                    125: 1 light parton      &  \multicolumn{1}{c|}{452177} &  \multicolumn{1}{c|}{0.142} &  \multicolumn{1}{c|}{0.00156} \\ \hline
                    126: 
                    127: 
                    128: $\geq$ 2 light partons     &  \multicolumn{1}{c|}{281453}   &  \multicolumn{1}{c|}{0.068} &  \multicolumn{1}{c|}{0.00119} \\ \hline
                    129: \end{tabular}
                    130: \caption{$t\bar{t} \rightarrow$ dilepton ALPGEN weights.}
                    131: \end{center}
                    132: \label{dilep_alp} 
                    133: \end{table}
                    134: 
                    135: Tables \ref{taujets_cutflow}, \ref{ejets_cutflow}, \ref{mujets_cutflow} and
                    136: \ref{dilep_cutflow} show cut flows for all preselection cuts applied to different $\ttbar$ decays 
                    137: (only statistical uncertainties are shown).
                    138: 
                    139: %
                    140: 
                    141: \begin{table}[h]
                    142: %\begin{center}
                    143: \begin{tabular}{ccccc}
                    144: \hline
                    145: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    146: Particle selector & 2412 &  $ 21.60 \pm 0.03 ~\% $ &  $ 21.60 \pm 0.03~\% $ \\
                    147: Duplicate events removal & 2411 &  $ 99.98 \pm 0.01 ~\% $ &  $ 21.60 \pm 0.03~\% $ \\
                    148: Event quality & 2315 &  $ 96.00 \pm 0.04 ~\% $ &  $ 20.74 \pm 0.03~\% $   \\
                    149: Jet selection & 1307 &  $ 59.45 \pm 0.09 ~\% $ &  $ 11.70 \pm 0.03~\% $  \\ 
                    150: Vertex selection & 1296 &  $ 99.18 \pm 0.02 ~\% $ &  $ 11.61 \pm 0.03~\% $  \\ 
                    151: Electron veto & 1282 &  $ 98.93 \pm 0.01 ~\% $ &  $ 11.49 \pm 0.03~\% $ \\ 
                    152: Muon veto & 1282 &  $ 99.93 \pm 0.01 ~\% $ &  $ 11.48 \pm 0.03~\% $ \\ 
                    153: MET selection & 1218 &  $ 95.05 \pm 0.05 ~\% $ &  $ 10.91 \pm 0.02~\% $  \\ 
                    154: MET significance & 772 &  $ 63.39 \pm 0.12 ~\% $ &  $ 6.92 \pm 0.02~\% $  \\
                    155: NN tau cut & 394 &  $ 53.51 \pm 0.15 ~\% $ &  $ 3.70 \pm 0.02~\% $  \\ \hline
                    156: 
                    157: \end{tabular}
                    158: \caption{Preselection $t\overline{t}\rightarrow\tau+jets$ cut flow} 
                    159: %\end{center}
                    160: \label{taujets_cutflow}
                    161: \end{table}
                    162: 
                    163: %\newpage
                    164: 
                    165: \begin{table}[t]
                    166: %\begin{center}
                    167: \begin{tabular}{ccccc}
                    168: \hline
                    169: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    170: Particle selector & 4385 &  $ 39.28 \pm 0.04 ~\% $ &  $ 39.28 \pm 0.04~\% $ \\
                    171: Duplicate event removal & 4383 &  $ 99.96 \pm 0.01 ~\% $ &  $ 39.26 \pm 0.04~\% $ \\
                    172: Event quality & 4207 &  $ 95.97 \pm 0.03 ~\% $ &  $ 37.68 \pm 0.04~\% $   \\
                    173: Jet selection & 1923 &  $ 45.71 \pm 0.07 ~\% $ &  $ 17.22 \pm 0.03~\% $  \\ 
                    174: Vertex selection & 1907 &  $ 99.20 \pm 0.02 ~\% $ &  $ 17.08 \pm 0.03~\% $  \\ 
                    175: Electron veto & 1048 &  $ 54.94 \pm 0.10 ~\% $ &  $ 9.39 \pm 0.02~\% $ \\ 
                    176: Muon veto & 1047 &  $ 99.95 \pm 0.01 ~\% $ &  $ 9.38 \pm 0.02~\% $ \\ 
                    177: MET selection & 1002 &  $ 95.64 \pm 0.05~\% $ &  $ 8.97 \pm 0.02~\% $  \\ 
                    178: MET significance & 669 &  $ 66.74 \pm 0.13 ~\% $ &  $ 5.99 \pm 0.02~\% $  \\
                    179: NN tau cut & 395 &  $ 59.12 \pm 0.16 ~\% $ &  $ 3.54 \pm 0.02~\% $  \\ \hline
                    180: 
                    181: \end{tabular}
                    182: \caption{Preselection $t\overline{t}\rightarrow e+jets$ cut flow}
                    183: %\end{center}
                    184: \label{ejets_cutflow}
                    185: \end{table}
                    186: 
                    187: %\clearpage
                    188: 
                    189: \begin{table}[t]
                    190: %\begin{center}
                    191: \begin{tabular}{ccccc}
                    192: \hline
                    193: Selection & Events & Relative  & Cumulative \\ \hline Initial & 11164 & &  \\ 
                    194: Particle selector & 4367 &  $ 39.12 \pm 0.04 ~\% $ &  $ 39.12 \pm 0.04~\% $ \\
                    195: Duplicate event removal & 4366 &  $ 99.96 \pm 0.04 ~\% $ &  $ 39.10 \pm 0.04~\% $ \\
                    196: Event quality & 4189 &  $  95.95 \pm 0.03 ~\% $ &  $ 37.52 \pm 0.04~\% $   \\
                    197: Jet selection & 1990 &  $ 47.52 \pm 0.07 ~\% $ &  $ 17.83 \pm 0.03~\% $  \\ 
                    198: Vertex selection & 1975 &  $ 99.23 \pm 0.02 ~\% $ &  $ 17.69 \pm 0.03~\% $  \\ 
                    199: Electron veto & 1967 &  $ 99.59 \pm 0.01 ~\% $ &  $ 17.62 \pm 0.03~\% $ \\ 
                    200: Muon veto &  1170 &  $ 59.48 \pm 0.09 ~\% $ &  $ 10.48 \pm 0.02~\% $ \\ 
                    201: MET selection & 1127 &  $ 96.31 \pm 0.04~\% $ &  $ 10.09 \pm 0.02~\% $  \\ 
                    202: MET significance & 812 &  $ 72.06 \pm 0.11 ~\% $ &  $ 7.27 \pm 0.02~\% $  \\
                    203: NN tau cut & 186 &  $ 22.95 \pm 0.13 ~\% $ &  $ 1.67 \pm 0.01~\% $  \\ \hline
                    204: 
                    205: \end{tabular}
                    206: \caption{Preselection $t\overline{t}\rightarrow \mu +jets$ cut flow}
                    207: %\end{center}
                    208: \label{mujets_cutflow}
                    209: \end{table}
                    210: 
                    211: 
                    212: \begin{table}[b]
                    213: %\begin{center}
                    214: \begin{tabular}{ccccc}
                    215: \hline
                    216: Selection & Events & Relative  & Cumulative \\ \hline Initial & 2799 & &  \\ 
                    217: Particle selector & 2799 &  $ 100.00 \pm 0.00 ~\% $ &  $ 100.00 \pm 0.00~\% $ \\
                    218: Duplicate event removal & 2799 &  $ 100.00 \pm 0.00 ~\% $ &  $ 100.00 \pm 0.00~\% $ \\
                    219: Event quality & 2685 &  $ 95.92 \pm 0.02 ~\% $ &  $ 95.92 \pm 0.02~\% $   \\
                    220: Jet selection & 145 &  $ 5.41 \pm 0.02 ~\% $ &  $ 5.19 \pm 0.02~\% $  \\ 
                    221: Vertex selection & 144 &  $ 99.32 \pm 0.03 ~\% $ &  $ 5.16 \pm 0.02~\% $  \\ 
                    222: Electron veto & 110 &  $ 76.14 \pm 0.13 ~\% $ &  $ 3.93 \pm 0.01~\% $ \\ 
                    223: Muon veto & 83 &  $ 75.08 \pm 0.16 ~\% $ &  $ 2.95 \pm 0.01~\% $ \\ 
                    224: MET selection & 80 &  $ 96.45 \pm 0.08~\% $ &  $ 2.84 \pm 0.01~\% $  \\ 
                    225: MET significance & 60 &  $ 75.32 \pm 0.19 ~\% $ &  $ 2.14 \pm 0.01~\% $  \\
                    226: NN tau cut & 38 &  $ 63.21 \pm 0.24 ~\% $ &  $ 1.35 \pm 0.01~\% $  \\ \hline
                    227: 
                    228: \end{tabular}
                    229: \caption{Preselection $t\overline{t}\rightarrow l+l$ cut flow}
                    230: %\end{center}
                    231: \label{dilep_cutflow}
                    232: \end{table}
                    233: 
                    234: \clearpage
                    235: 
                    236: 
                    237: 
                    238: %\clearpage

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