| version 1.1, 2011/05/18 21:30:39 | version 1.2, 2011/06/01 01:20:54 | 
| Line 3  Up to this point we have presented the d | Line 3  Up to this point we have presented the d | 
 | the Monte Carlo samples and corrections applied to them (Sections \ref{sub:mcsample} and \ref{sub:mcsample_xseccorr}), | the Monte Carlo samples and corrections applied to them (Sections \ref{sub:mcsample} and \ref{sub:mcsample_xseccorr}), | 
 | the trigger used and its simulation (Section \ref{sec:trig_param}) and the object ID | the trigger used and its simulation (Section \ref{sec:trig_param}) and the object ID | 
 | method (Section \ref{sec:objects}). Now we describe the next steps of the analysis | method (Section \ref{sec:objects}). Now we describe the next steps of the analysis | 
| towards the final crosse section measurement: | towards the final cross section measurement: | 
 |  |  | 
 | \begin{itemize} | \begin{itemize} | 
 | \item Preselection (section \ref{sub:Preselection}): at least 4 jets, at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV/$c$, | \item Preselection (section \ref{sub:Preselection}): at least 4 jets, at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV/$c$, | 
| Line 17  different $\not\!\! E_{T}$ significance | Line 17  different $\not\!\! E_{T}$ significance | 
 | \item Topological Variables (section \ref{sub:Topo}): section showing final analysis plots of topological | \item Topological Variables (section \ref{sub:Topo}): section showing final analysis plots of topological | 
 | variables of interest. | variables of interest. | 
 | \item Cross Section (section \ref{sub:xsect}) The signal fraction determination is | \item Cross Section (section \ref{sub:xsect}) The signal fraction determination is | 
| combined with integrated luminosity measurement to calculate the cross section. | combined with the integrated luminosity measurement to calculate the cross section. | 
| Systematic uncertainties are determined by fluctuating the significant components | The systematic errors are estimated by changing | 
| up and down by one standard deviation one at a time, propagating it through the entire procedure. | the values up-down by 1 sigma independently for each component | 
|  | at a time and then propagating them through the entire procedure. | 
 | \end{itemize} | \end{itemize} | 
 |  |  | 
 | \section{\label{sub:Preselection}Preselection} | \section{\label{sub:Preselection}Preselection} | 
 |  |  | 
 | The preselection is the first step of the analysis. The cuts presented here were chosen in order to provide the best | The preselection is the first step of the analysis. The cuts presented here were chosen in order to provide the best | 
 | background reduction and enhance the $t\bar{t}$  content at this point. The cuts are the similar to those used in the | background reduction and enhance the $t\bar{t}$  content at this point. The cuts are the similar to those used in the | 
| p17 analysis \cite{p17_note} except that for this time we opted to optimize the value of $\not\!\! E_{T}$ | p17 analysis \cite{p17_note} except that this time we optimized the value of $\not\!\! E_{T}$ | 
 | significance along with the sets of variables we used as inputs to NN training (Section \ref{sub:NN}). | significance along with the sets of variables we used as inputs to NN training (Section \ref{sub:NN}). | 
 | 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}. | 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}. | 
 |  |  | 
| Line 38  Cuts shown below were applied to samples | Line 39  Cuts shown below were applied to samples | 
 | %\end{itemize} | %\end{itemize} | 
 |  |  | 
 | \begin{itemize} | \begin{itemize} | 
| \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 | \item Duplicate event removal and event quality | 
|  | \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 | 
 | \item at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV | \item at least one $\tau$ with NN$>$0.3 and $p_{T}>10$ GeV | 
 | \item 15 GeV $\leq$ $\not\!\! E_{T}$ $\leq$ 500 GeV | \item 15 GeV $\leq$ $\not\!\! E_{T}$ $\leq$ 500 GeV | 
| \item $\not\!\! E_{T}$ significance $\geq$ 4.0 | \item $\not\!\! E_{T}$ significance $\geq$ 4.0.Missing transverse energy significance is a | 
|  | measure of the likelihood of $\not\!\! E_{T}$ | 
|  | arising from physical sources. It is computed from calculated resolutions of physical objects (jets, electrons, | 
|  | muons and unclustered energy) \cite{p17_note,METsig}. | 
|  | \item Vertex selection: at least 3 tracks and $|z_{max}|$ = 60 cm. | 
|  |  | 
 | \item No isolated electron or muon. This is done in order to ensure orthogonality with other \dzero \hspace{1pt} | \item No isolated electron or muon. This is done in order to ensure orthogonality with other \dzero \hspace{1pt} | 
 | measurements (\cite{l+jets} and \cite{dilepton}) - events that pass the lepton preselection cuts from these measurements | measurements (\cite{l+jets} and \cite{dilepton}) - events that pass the lepton preselection cuts from these measurements | 
 | were vetoed. Also events that pass the all-jets analysis preselection cuts (described in the alljet analysis note \cite{alljet}) | were vetoed. Also events that pass the all-jets analysis preselection cuts (described in the alljet analysis note \cite{alljet}) | 
| Line 59  are rejected here. | Line 66  are rejected here. | 
 |  |  | 
 | Among all preselection cuts one of them requires a more detailed description at this point since it represents | Among all preselection cuts one of them requires a more detailed description at this point since it represents | 
 | an improvement upon the old p17 analysis: $\not\!\! E_{T}$ significance. | an improvement upon the old p17 analysis: $\not\!\! E_{T}$ significance. | 
| Missing transverse energy significance is a measure of the likelihood of $\not\!\! E_{T}$ | . Initially no $\not\!\! E_{T}$ significance | 
| arising from physical sources. It is computed from calculated resolutions of physical objects (jets, electrons, |  | 
| muons and unclustered energy) \cite{p17_note,METsig}. Initially no $\not\!\! E_{T}$ significance |  | 
 | was applied neither on MC nor on data. In this analysis we decided | was applied neither on MC nor on data. In this analysis we decided | 
 | to optimize the $\not\!\! E_{T}$ significance cut along with the NN optimization itself. | to optimize the $\not\!\! E_{T}$ significance cut along with the NN optimization itself. | 
 | After finishing the $\not\!\! E_{T}$ significance optimization | After finishing the $\not\!\! E_{T}$ significance optimization | 
| Line 74  In data, initially the sample contained | Line 79  In data, initially the sample contained | 
 |  |  | 
 |  |  | 
 | Another relevant aspect of the preselection is the usage of Particle Selector (only applied to MC samples). | Another relevant aspect of the preselection is the usage of Particle Selector (only applied to MC samples). | 
| In this step we aimed to select a particular $\ttbar$ final state, namely, we split $W$ decay | In this step we select a specific $\ttbar$ final state, namely, we split $W$ decay | 
 | into $W \rightarrow e/\mu /\tau $ and | into $W \rightarrow e/\mu /\tau $ and | 
| tracked separate efficiencies for each of these processes. In this step we selected hadronic decays of tau, | tracked separate efficiencies for each of these processes. In this step we selected hadronic decays of tau. | 
| and at the same events where tau decays into electrons and muons were put into $e + jets$ and $\mu + jets$ samples. | Events where the tau decays into an electron or a muon were put into $e + jets$ and $\mu + jets$ samples. | 
| As in p17, we decided to do not split the dilepton sample in different lepton flavors. | As in p17, we decided to not split the dilepton sample in different lepton flavors. | 
 |  |  | 
 | Before proceeding to the next step, it is important to describe the result of the preselection |  | 
 | in terms of its efficiencies since all the rest of analysis strongly depends on the cuts applied at this level. |  | 
 | As previously described, $t\bar{t}$ were generated by ALPGEN. In ALPGEN, different process with different | As previously described, $t\bar{t}$ were generated by ALPGEN. In ALPGEN, different process with different | 
| numbers of partons have different cross-sections and number of events. This fact must be taken into account when calculating the | numbers of partons have different cross sections and number of events. This fact must be taken into account when calculating the | 
| efficiencies, namely, efficiencies must be properly scaled to the luminosity (4951.85 pb$^{-1}$) of the sample. Tables | efficiencies, namely, efficiencies must be properly scaled to the luminosity of the sample (4951.85 pb$^{-1}$). Tables | 
| \ref{ttbar_alp} and III show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets | 7 and 8 show the ALPGEN weights for $t\bar{t} \rightarrow$ lepton + jets | 
 | %VI and VII show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets | %VI and VII show the number beforementioned for $t\bar{t} \rightarrow$ lepton + jets | 
 | and $t\bar{t} \rightarrow$ dilepton respectively. | and $t\bar{t} \rightarrow$ dilepton respectively. | 
 |  |  | 
 | \begin{table}[h] | \begin{table}[h] | 
 | \begin{center} | \begin{center} | 
 | \begin{tabular}{|c|r|r|r|} \hline | \begin{tabular}{|c|r|r|r|} \hline | 
| Process   & \# of events & cross-section (pb) & alpgen weight    \\ \hline | Process   & \# of events & cross section (pb) & alpgen weight    \\ \hline | 
 |  |  | 
 | \hline | \hline | 
 |  |  | 
 |  |  | 
| 0 light parton     &  \multicolumn{1}{c|}{777068}   &  \multicolumn{1}{c|}{1.4} &  \multicolumn{1}{c|}{0.00892}  \\ \hline | $t\bar{t}$ + 0 light parton     &  \multicolumn{1}{c|}{777068}   &  \multicolumn{1}{c|}{1.400} &  \multicolumn{1}{c|}{0.00892}  \\ \hline | 
 |  |  | 
 |  |  | 
| 1 light parton      &  \multicolumn{1}{c|}{457782} &  \multicolumn{1}{c|}{0.577} &  \multicolumn{1}{c|}{0.00624} \\ \hline | $t\bar{t}$ + 1 light parton      &  \multicolumn{1}{c|}{457782} &  \multicolumn{1}{c|}{0.577} &  \multicolumn{1}{c|}{0.00624} \\ \hline | 
 |  |  | 
 |  |  | 
| $\geq$ 2 light partons     &  \multicolumn{1}{c|}{321166}   &  \multicolumn{1}{c|}{0.267} &  \multicolumn{1}{c|}{0.00412} \\ \hline | $t\bar{t}$ + $\geq$ 2 light partons     &  \multicolumn{1}{c|}{321166}   &  \multicolumn{1}{c|}{0.267} &  \multicolumn{1}{c|}{0.00412} \\ \hline | 
 | \end{tabular} | \end{tabular} | 
 | \caption{$t\bar{t} \rightarrow$ lepton + jets ALPGEN weights.} | \caption{$t\bar{t} \rightarrow$ lepton + jets ALPGEN weights.} | 
 | \end{center} | \end{center} | 
| Line 114  $\geq$ 2 light partons     &  \multicolu | Line 117  $\geq$ 2 light partons     &  \multicolu | 
 | \begin{table}[h] | \begin{table}[h] | 
 | \begin{center} | \begin{center} | 
 | \begin{tabular}{|c|r|r|r|} \hline | \begin{tabular}{|c|r|r|r|} \hline | 
| Process   & \# of events & cross-section (pb) & alpgen weight    \\ \hline | Process   & \# of events & cross section (pb) & alpgen weight    \\ \hline | 
 |  |  | 
 | \hline | \hline | 
 |  |  | 
| Line 152  Electron veto & 1282 &  $ 98.93 \pm 0.01 | Line 155  Electron veto & 1282 &  $ 98.93 \pm 0.01 | 
 | Muon veto & 1282 &  $ 99.93 \pm 0.01 ~\% $ &  $ 11.48 \pm 0.03~\% $ \\ | Muon veto & 1282 &  $ 99.93 \pm 0.01 ~\% $ &  $ 11.48 \pm 0.03~\% $ \\ | 
 | MET selection & 1218 &  $ 95.05 \pm 0.05 ~\% $ &  $ 10.91 \pm 0.02~\% $  \\ | MET selection & 1218 &  $ 95.05 \pm 0.05 ~\% $ &  $ 10.91 \pm 0.02~\% $  \\ | 
 | MET significance & 772 &  $ 63.39 \pm 0.12 ~\% $ &  $ 6.92 \pm 0.02~\% $  \\ | MET significance & 772 &  $ 63.39 \pm 0.12 ~\% $ &  $ 6.92 \pm 0.02~\% $  \\ | 
| NN tau cut & 394 &  $ 53.51 \pm 0.15 ~\% $ &  $ 3.70 \pm 0.02~\% $  \\ \hline | tau selection & 394 &  $ 53.51 \pm 0.15 ~\% $ &  $ 3.70 \pm 0.02~\% $  \\ \hline | 
 |  |  | 
 | \end{tabular} | \end{tabular} | 
 | \caption{Preselection $t\overline{t}\rightarrow\tau+jets$ cut flow} | \caption{Preselection $t\overline{t}\rightarrow\tau+jets$ cut flow} | 
| Line 176  Electron veto & 1048 &  $ 54.94 \pm 0.10 | Line 179  Electron veto & 1048 &  $ 54.94 \pm 0.10 | 
 | Muon veto & 1047 &  $ 99.95 \pm 0.01 ~\% $ &  $ 9.38 \pm 0.02~\% $ \\ | Muon veto & 1047 &  $ 99.95 \pm 0.01 ~\% $ &  $ 9.38 \pm 0.02~\% $ \\ | 
 | MET selection & 1002 &  $ 95.64 \pm 0.05~\% $ &  $ 8.97 \pm 0.02~\% $  \\ | MET selection & 1002 &  $ 95.64 \pm 0.05~\% $ &  $ 8.97 \pm 0.02~\% $  \\ | 
 | MET significance & 669 &  $ 66.74 \pm 0.13 ~\% $ &  $ 5.99 \pm 0.02~\% $  \\ | MET significance & 669 &  $ 66.74 \pm 0.13 ~\% $ &  $ 5.99 \pm 0.02~\% $  \\ | 
| NN tau cut & 395 &  $ 59.12 \pm 0.16 ~\% $ &  $ 3.54 \pm 0.02~\% $  \\ \hline | tau selection & 395 &  $ 59.12 \pm 0.16 ~\% $ &  $ 3.54 \pm 0.02~\% $  \\ \hline | 
 |  |  | 
 | \end{tabular} | \end{tabular} | 
 | \caption{Preselection $t\overline{t}\rightarrow e+jets$ cut flow} | \caption{Preselection $t\overline{t}\rightarrow e+jets$ cut flow} | 
| Line 200  Electron veto & 1967 &  $ 99.59 \pm 0.01 | Line 203  Electron veto & 1967 &  $ 99.59 \pm 0.01 | 
 | Muon veto &  1170 &  $ 59.48 \pm 0.09 ~\% $ &  $ 10.48 \pm 0.02~\% $ \\ | Muon veto &  1170 &  $ 59.48 \pm 0.09 ~\% $ &  $ 10.48 \pm 0.02~\% $ \\ | 
 | MET selection & 1127 &  $ 96.31 \pm 0.04~\% $ &  $ 10.09 \pm 0.02~\% $  \\ | MET selection & 1127 &  $ 96.31 \pm 0.04~\% $ &  $ 10.09 \pm 0.02~\% $  \\ | 
 | MET significance & 812 &  $ 72.06 \pm 0.11 ~\% $ &  $ 7.27 \pm 0.02~\% $  \\ | MET significance & 812 &  $ 72.06 \pm 0.11 ~\% $ &  $ 7.27 \pm 0.02~\% $  \\ | 
| NN tau cut & 186 &  $ 22.95 \pm 0.13 ~\% $ &  $ 1.67 \pm 0.01~\% $  \\ \hline | tau selection & 186 &  $ 22.95 \pm 0.13 ~\% $ &  $ 1.67 \pm 0.01~\% $  \\ \hline | 
 |  |  | 
 | \end{tabular} | \end{tabular} | 
 | \caption{Preselection $t\overline{t}\rightarrow \mu +jets$ cut flow} | \caption{Preselection $t\overline{t}\rightarrow \mu +jets$ cut flow} | 
| Line 223  Electron veto & 110 &  $ 76.14 \pm 0.13 | Line 226  Electron veto & 110 &  $ 76.14 \pm 0.13 | 
 | Muon veto & 83 &  $ 75.08 \pm 0.16 ~\% $ &  $ 2.95 \pm 0.01~\% $ \\ | Muon veto & 83 &  $ 75.08 \pm 0.16 ~\% $ &  $ 2.95 \pm 0.01~\% $ \\ | 
 | MET selection & 80 &  $ 96.45 \pm 0.08~\% $ &  $ 2.84 \pm 0.01~\% $  \\ | MET selection & 80 &  $ 96.45 \pm 0.08~\% $ &  $ 2.84 \pm 0.01~\% $  \\ | 
 | MET significance & 60 &  $ 75.32 \pm 0.19 ~\% $ &  $ 2.14 \pm 0.01~\% $  \\ | MET significance & 60 &  $ 75.32 \pm 0.19 ~\% $ &  $ 2.14 \pm 0.01~\% $  \\ | 
| NN tau cut & 38 &  $ 63.21 \pm 0.24 ~\% $ &  $ 1.35 \pm 0.01~\% $  \\ \hline | tau selection & 38 &  $ 63.21 \pm 0.24 ~\% $ &  $ 1.35 \pm 0.01~\% $  \\ \hline | 
 |  |  | 
 | \end{tabular} | \end{tabular} | 
 | \caption{Preselection $t\overline{t}\rightarrow l+l$ cut flow} | \caption{Preselection $t\overline{t}\rightarrow l+l$ cut flow} |