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

1.1     ! uid12904    1: \newpage
        !             2: \section{\label{sub:Results-of-the}\boldmath$b$ and \boldmath$\tau$ selections}
        !             3: 
        !             4: In the next step we applied the requirements of tight $\tau$- and $b$-tagging.
        !             5: Table \ref{cap:btaggingandtau} shows the selection criteria that
        !             6: we applied to data and MC. The b-tag operating point used was TIGHT, which corresponds
        !             7: to NNbtag $>$ 0.775. We chose the $\tau$ with the highest $NN_{\tau}$ as \textit{the} $\tau$ candidate.
        !             8: At this stage of the analysis we separated the events dataset we deal with into parts, 
        !             9: according to which type of $\tau$ the candidate with highest NN belongs. 
        !            10: This was done primarily to separate the type 3 tau events (which are 
        !            11: expected to have much higher fake rate and thus weaker $\ttbar$ cross section result) from the 
        !            12: type 2 events. The separate measurement channels were later combined to get the final result 
        !            13: (Section \ref{sub:xsect}). In principle, types 1 and 2 should be separated as well
        !            14: but as there exists a considerable 
        !            15: cross-migration between them \cite{tau-id} and type 1 is a small fraction of
        !            16: the total (10\% of type 1, 54.5\% of type 2 and 35.5\% of type 3), they were taken togetther in this analysis. 
        !            17: The topological NN used to enhance the signal content is described in section \ref{sub:NN-variables} .
        !            18: 
        !            19: %Table \ref{b and tau type 3} shows the same efficiencies for 
        !            20: %type 3. We see that for type 3 $\tau$ candidates (which are more jet-like then other types) twice more 
        !            21: %candidate events are selected due to high $\tau$ fake rate.
        !            22: 
        !            23: 
        !            24: At this point, we used these ID algorithms to define 3 mutually exclusive and
        !            25: exhastive subsamples out of the original preselected data sample:
        !            26: 
        !            27: \begin{itemize}
        !            28: \item The {}``non-$b$ veto'' or {}``signal'' sample - the $\tau$ candidate has $NN_{\tau}>0.90$ ($NN_{\tau}$ denotes the NN cut commonly applied to all taus)
        !            29: for taus types 1 and 2 and $NN(\tau)>0.95$ for taus type 3, and at least one NN b-tag (as in Table \ref{cap:btaggingandtau}).
        !            30: These $NN(\tau)$ cuts were chosen based on previous studies involving hadronic decays of taus \cite{tes,higgs_tau}.
        !            31: This is the sample used to extract the cross section. Jets matched to $\tau$ candidates are not $b$-tagged,
        !            32: althought they still count as jets.
        !            33: \item The {}``$\tau$ veto sample'' or ``loose-tight $\tau$ sample'' - Same selection, but with
        !            34: $0.3<NN_{\tau}<0.7$ for all taus. $\tau$ NN lower cut of 0.3 
        !            35: instead of 0.0 was chosen to bias their jet properties closer to those of tight tau candidates, 
        !            36: in particular, so they have narrow showers. The upper cut is at 0.7 and not 0.95 or 0.90 to reduce signal contamination. 
        !            37: In this sample, 1400000 events were used for NN training for taus type 1 and 2 and 600000 events were used 
        !            38: in the case of type 3 taus. In both cases, the rest of the samples served as QCD template.
        !            39: \item The {}``$b$ veto'' sample - Require exactly 0 tight $b$-tags. This is 
        !            40: the control sample used to verify the validity of the QCD modelling method. The b veto requirement
        !            41: implies this sample is almost purely background.
        !            42: \end{itemize}
        !            43: %
        !            44: 
        !            45: Along with the $NN_{\tau}$ 
        !            46: cut described above, we also applied the cut NNelec $>$ 0.9 only 
        !            47: to type 2 taus since these are more likely to be faked by electrons. The cut NNelec $>$ 0.9 was chosen in 
        !            48: order to match the lowest cut of $NN_{\tau}$ $>$ 0.9 applied to type 2 taus (Section \ref{sub:Results-of-the}).
        !            49: 
        !            50: As both b and $\tau$ ID is the step immediately after the preselection, the number of events available is 
        !            51: 2800000 million events. As explained above 1400000 events were used for taus type 1 and 2 NN training 
        !            52: and 600000 for type 3 taus NN training. Thus, there are 1400000 events available in each sample for the
        !            53: measurement in the case of types 1 and 2 and 2200000 in the case of type 3. Details on NN training are given
        !            54: in Section \ref{sub:NN-variables}.
        !            55: 
        !            56: 
        !            57: The QCD modelling method used here is the same as used in p17 and is described in Section IXA of \cite{p17_note}.
        !            58: 
        !            59: The final number of events in each channel for both signal and $b$ veto samples is shown
        !            60: on Tables \ref{b_and_tau_type1_2}, \ref{b_and_tau_type_3}, \ref{bveto_type1_2} and \ref{b_veto_type_3} 
        !            61: (only statistical uncertainties are shown).
        !            62: 
        !            63: As important as determining the subsamples to be used in this analysis, a determination as precise as possible 
        !            64: of both signal and electroweak contamination in the ``loose-tight $\tau$ sample'' had be done in order to 
        !            65: know whether this sample is totally QCD dominated or not. 
        !            66: Numbers showing the composition of such sample are shown on Tables \ref{loosetight1_2} and \ref{loosetight_3}
        !            67: with their respective statistical uncertainties. From the $t\bar{t}$ content in each case we are able
        !            68: estimate the signal contamination in the loose-tight sample. Such contaminations are 5.4\% 
        !            69: and 3.0\% for taus type 1 and 2 and type 3 respectively when a cross section of 7.46 pb is assumed 
        !            70: (Section \ref{sub:mcsample}). Likewise we see that electroweak contaminations
        !            71: are 2.2\% and 0.9\%. As this is the sample used to model the QCD background
        !            72: both signal and electroweak contaminations were taken into account when measuring the 
        !            73: cross section in Section \ref{sub:xsect}.
        !            74: 
        !            75: 
        !            76: \begin{table}[h]
        !            77: \begin{tabular}{ccc}
        !            78: \hline 
        !            79: &
        !            80: {\scriptsize data}&
        !            81: {\scriptsize taggingMC}\\
        !            82: &
        !            83: {\scriptsize $\geq1$ $\tau$ with $|\eta|<2.5$ and $p_{T}>20$ GeV}&
        !            84: {\scriptsize $\geq1$ $\tau$ with $|\eta|<2.5$ and $p_{T}>20$ GeV}\\
        !            85: &
        !            86: {\scriptsize $\geq1$ NN b-tag}&
        !            87: {\scriptsize $mcweight \cdot TrigWeight \cdot bTagProb \cdot lumiReWeight \cdot PVzReWeight \cdot bFragWeight$ }\\
        !            88: &
        !            89: {\scriptsize }&
        !            90: %{\scriptsize $\cdot WZPtReweight \cdot tau$\_$nnout$\_$corr$\_$p20 \cdot tau$\_$track$\_$corr$\_$p20$ }\\
        !            91: {\scriptsize $\cdot WZPtReweight $ }\\
        !            92: &
        !            93: {\scriptsize $\geq4$ jets with $|\eta|<2.5$ and $p_{T}>20$ GeV}&
        !            94: {\scriptsize $\geq4$ jets with $|\eta|<2.5$ and $p_{T}>20$ GeV}\\
        !            95: \end{tabular}
        !            96: \caption{$b$-tagging and $\tau$ ID. In the MC, we use the $b$-tagging certified
        !            97: parameterization rather than actual $b$-tagging, that is, we applied the
        !            98: $b$-tagging weight. We also used the triggering weight
        !            99: as computed by the trigger efficiency parameterization as well as luminosity profile and $PV_Z$ reweighting weights. $
        !           100: mcweight$ is the MC normalization factors (to luminosity), which are different for MC 
        !           101: samples with different parton multiplicities in ALPGEN MC samples.}%\end{ruledtabular}
        !           102: \label{cap:btaggingandtau} 
        !           103: \end{table}
        !           104: 
        !           105: 
        !           106: 
        !           107: %
        !           108: \begin{table}[h]
        !           109: %\begin{ruledtabular}
        !           110: \begin{tabular}{cccc}
        !           111: \hline 
        !           112: Sample & &
        !           113: \# events\\
        !           114: \hline 
        !           115: data&
        !           116: &
        !           117: 386\\
        !           118: $t\overline{t}\rightarrow\tau+jets$&
        !           119: &
        !           120: 48.03 $\pm$ 0.53&\\
        !           121: $t\overline{t}\rightarrow e+jets$&
        !           122: &
        !           123: 25.57 $\pm$ 0.36&\\
        !           124: $t\overline{t}\rightarrow\mu+jets$&
        !           125: &
        !           126: 3.21 $\pm$ 0.14&\\
        !           127: $t\overline{t}\rightarrow l+l$&
        !           128: &
        !           129: 4.01 $\pm$ 0.07&\\
        !           130: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           131: &
        !           132: 7.48 $\pm$ 0.30\\
        !           133: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           134: &
        !           135: 4.68 $\pm$ 0.17\\
        !           136: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           137: &
        !           138: 5.66 $\pm$ 0.11 \\
        !           139: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           140: &
        !           141: 0.93 $\pm$ 0.08\\
        !           142: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           143: &
        !           144: 0.51 $\pm$ 0.04\\
        !           145: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           146: &
        !           147: 1.07 $\pm$ 0.10 \\
        !           148: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           149: &
        !           150: 0.03 $\pm$ 0.01\\
        !           151: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           152: &
        !           153: 0.00 $\pm$ 0.00\\
        !           154: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           155: &
        !           156: 0.02 $\pm$ 0.01 \\
        !           157: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           158: &
        !           159: 0.07 $\pm$ 0.02\\
        !           160: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           161: &
        !           162: 0.02 $\pm$ 0.01\\
        !           163: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           164: &
        !           165: 0.01 $\pm$ 0.01 \\ 
        !           166: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           167: &
        !           168: 0.08 $\pm$ 0.03\\
        !           169: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           170: &
        !           171: 0.00 $\pm$ 0.00\\
        !           172: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           173: &
        !           174: 0.04 $\pm$ 0.01\\ \hline
        !           175: \end{tabular}
        !           176: \caption{Final number of events in each channel for taus types 1 and 2 $\tau$ after b-tagging, $\tau$ ID and trigger
        !           177: in the signal sample when the assumed cross section is 7.46 pb. An estimate of QCD background is not included.}
        !           178: %\end{ruledtabular}
        !           179: \label{b_and_tau_type1_2} 
        !           180: \end{table}
        !           181: %
        !           182: 
        !           183: %\clearpage
        !           184: 
        !           185: \begin{table}[t]
        !           186: %\begin{ruledtabular}
        !           187: \begin{tabular}{cccc}
        !           188: \hline 
        !           189: Sample & &
        !           190: \# of events\\
        !           191: \hline 
        !           192: data&
        !           193: &
        !           194: 459\\
        !           195: $t\overline{t}\rightarrow\tau+jets$&
        !           196: &
        !           197: 25.88 $\pm$ 0.39&\\
        !           198: $t\overline{t}\rightarrow e+jets$&
        !           199: &
        !           200: 4.35 $\pm$ 0.16&\\
        !           201: $t\overline{t}\rightarrow\mu+jets$&
        !           202: &
        !           203: 3.43 $\pm$ 0.14&\\
        !           204: $t\overline{t}\rightarrow l+l$&
        !           205: &
        !           206: 2.80 $\pm$ 0.06&\\
        !           207: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           208: &
        !           209: 3.92 $\pm$ 0.17\\
        !           210: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           211: &
        !           212: 3.26 $\pm$ 0.15\\
        !           213: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           214: &
        !           215: 4.08 $\pm$ 0.11\\
        !           216: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           217: &
        !           218: 0.74 $\pm$ 0.07\\
        !           219: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           220: &
        !           221: 0.41 $\pm$ 0.03\\
        !           222: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           223: &
        !           224: 0.80 $\pm$ 0.10        \\
        !           225: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           226: &
        !           227: 0.00 $\pm$ 0.00\\
        !           228: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           229: &
        !           230: 0.01 $\pm$ 0.01\\
        !           231: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           232: &
        !           233: 0.01 $\pm$ 0.01 \\
        !           234: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           235: &
        !           236: 0.04 $\pm$ 0.02\\
        !           237: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           238: &
        !           239: 0.01 $\pm$ 0.01\\
        !           240: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           241: &
        !           242: 0.00 $\pm$ 0.00 \\ 
        !           243: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           244: &
        !           245: 0.12 $\pm$ 0.04\\
        !           246: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           247: &
        !           248: 0.19 $\pm$ 0.04\\
        !           249: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           250: &
        !           251: 0.06 $\pm$ 0.01 \\ \hline
        !           252: \end{tabular}
        !           253: \caption{Final number of events in each channel for taus type 3 $\tau$ After b-tagging, $\tau$ ID and trigger
        !           254: in the signal sample when the assumed cross section is 7.46 pb. An estimate of QCD background is not included.}%\end{ruledtabular}
        !           255: \label{b_and_tau_type_3} 
        !           256: \end{table}
        !           257: 
        !           258: \newpage
        !           259: 
        !           260: \begin{table}[t]
        !           261: %\begin{ruledtabular}
        !           262: \begin{tabular}{cccc}
        !           263: \hline 
        !           264: Sample & &
        !           265: \# of events\\
        !           266: \hline 
        !           267: data&
        !           268: &
        !           269: 2494 \\
        !           270: $t\overline{t}\rightarrow\tau+jets$&
        !           271: &
        !           272: 33.57 $\pm$ 0.34\\
        !           273: $t\overline{t}\rightarrow e+jets$&
        !           274: &
        !           275: 15.67 $\pm$ 0.23&\\
        !           276: $t\overline{t}\rightarrow\mu+jets$&
        !           277: &
        !           278: 2.30 $\pm$ 0.09&\\
        !           279: $t\overline{t}\rightarrow l+l$&
        !           280: &
        !           281: 2.69 $\pm$ 0.04&\\
        !           282: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           283: &
        !           284: 9.29 $\pm$ 0.27\\
        !           285: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           286: &
        !           287: 31.63 $\pm$ 0.90\\
        !           288: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           289: &
        !           290: 169.95 $\pm$ 2.68\\
        !           291: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           292: &
        !           293: 1.30 $\pm$ 0.11\\
        !           294: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           295: &
        !           296: 3.15 $\pm$ 0.20\\
        !           297: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           298: &
        !           299: 16.86 $\pm$ 1.14 \\
        !           300: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           301: &
        !           302: 0.02 $\pm$ 0.01\\
        !           303: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           304: &
        !           305: 0.00 $\pm$ 0.00\\
        !           306: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           307: &
        !           308: 0.74 $\pm$ 0.33 \\
        !           309: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           310: &
        !           311: 0.08 $\pm$ 0.02\\
        !           312: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           313: &
        !           314: 0.07 $\pm$ 0.03\\
        !           315: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           316: &
        !           317: 0.38 $\pm$ 0.22 \\ 
        !           318: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           319: &
        !           320: 0.10 $\pm$ 0.03\\
        !           321: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           322: &
        !           323: 0.00 $\pm$ 0.00\\
        !           324: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           325: &
        !           326: 1.36 $\pm$ 0.49 \\ \hline
        !           327: \end{tabular}
        !           328: \caption{$b$-veto data set composition for types 1 and 2 $\tau$ when the assumed cross section is 7.46 pb.}%\end{ruledtabular}
        !           329: \label{bveto_type1_2} 
        !           330: \end{table}
        !           331: 
        !           332: %\clearpage
        !           333: 
        !           334: \begin{table}[t]
        !           335: %\begin{ruledtabular}
        !           336: \begin{tabular}{cccc}
        !           337: \hline 
        !           338: Sample & &
        !           339: \# of events\\
        !           340: \hline 
        !           341: data&
        !           342: &
        !           343: 3688 \\
        !           344: $t\overline{t}\rightarrow\tau+jets$&
        !           345: &
        !           346: 19.85 $\pm$ 0.27\\
        !           347: $t\overline{t}\rightarrow e+jets$&
        !           348: &
        !           349: 3.53 $\pm$ 0.13\\
        !           350: $t\overline{t}\rightarrow\mu+jets$&
        !           351: &
        !           352: 2.80 $\pm$ 0.10\\
        !           353: $t\overline{t}\rightarrow l+l$&
        !           354: &
        !           355: 1.81 $\pm$ 0.03\\
        !           356: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           357: &
        !           358: 5.26 $\pm$ 0.19\\
        !           359: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           360: &
        !           361: 22.43 $\pm$ 0.80\\
        !           362: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           363: &
        !           364: 126.41  $\pm$ 2.60 \\
        !           365: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           366: &
        !           367: 0.92 $\pm$ 0.09\\
        !           368: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           369: &
        !           370: 2.86 $\pm$ 0.20\\
        !           371: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           372: &
        !           373: 14.53 $\pm$ 1.15 \\
        !           374: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           375: &
        !           376: 0.00 $\pm$ 0.00\\
        !           377: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           378: &
        !           379: 0.08 $\pm$ 0.04\\
        !           380: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           381: &
        !           382: 0.31 $\pm$ 0.18 \\
        !           383: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           384: &
        !           385: 0.04 $\pm$ 0.02\\
        !           386: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           387: &
        !           388: 0.05 $\pm$ 0.02\\
        !           389: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           390: &
        !           391: 0.05 $\pm$ 0.04 \\ 
        !           392: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           393: &
        !           394: 0.16 $\pm$ 0.05\\
        !           395: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           396: &
        !           397: 0.83 $\pm$ 0.15\\
        !           398: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           399: &
        !           400: 2.31 $\pm$ 0.46 \\ \hline
        !           401: \end{tabular}
        !           402: %\end{ruledtabular}
        !           403: \caption{$b$-veto data set composition for type 3 $\tau$ when the assumed cross section is 7.46 pb.}
        !           404: \label{b_veto_type_3} 
        !           405: \end{table}
        !           406: 
        !           407: 
        !           408: \begin{table}[t]
        !           409: %\begin{ruledtabular}
        !           410: \begin{tabular}{cccc}
        !           411: \hline 
        !           412: Sample & &
        !           413: \# of events\\
        !           414: \hline 
        !           415: data&
        !           416: &
        !           417: 1217 \\
        !           418: $t\overline{t}\rightarrow\tau+jets$&
        !           419: &
        !           420: 32.94 $\pm$ 0.48\\
        !           421: $t\overline{t}\rightarrow e+jets$&
        !           422: &
        !           423: 17.02 $\pm$ 0.34&\\
        !           424: $t\overline{t}\rightarrow\mu+jets$&
        !           425: &
        !           426: 14.37 $\pm$ 0.32&\\
        !           427: $t\overline{t}\rightarrow l+l$&
        !           428: &
        !           429: 2.43 $\pm$ 0.06&\\
        !           430: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           431: &
        !           432: 6.33 $\pm$ 0.23\\
        !           433: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           434: &
        !           435: 4.63 $\pm$ 0.19\\
        !           436: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           437: &
        !           438: 11.34 $\pm$ 0.26\\
        !           439: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           440: &
        !           441: 0.50 $\pm$ 0.06\\
        !           442: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           443: &
        !           444: 0.58 $\pm$ 0.06\\
        !           445: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           446: &
        !           447: 1.10 $\pm$ 0.13 \\
        !           448: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           449: &
        !           450: 0.01 $\pm$ 0.01\\
        !           451: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           452: &
        !           453: 0.01 $\pm$ 0.01\\
        !           454: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           455: &
        !           456: 0.00 $\pm$ 0.00 \\
        !           457: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           458: &
        !           459: 0.03 $\pm$ 0.01\\
        !           460: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           461: &
        !           462: 0.04    $\pm$ 0.01\\
        !           463: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           464: &
        !           465: 0.02 $\pm$ 0.01 \\ 
        !           466: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           467: &
        !           468: 1.07 $\pm$ 0.17\\
        !           469: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           470: &
        !           471: 0.57 $\pm$ 0.10\\
        !           472: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           473: &
        !           474: 0.36 $\pm$ 0.04 \\ \hline
        !           475: \end{tabular}
        !           476: \caption{loose-tight data set composition for types 1 and 2 $\tau$ when the assumed cross section is 7.46 pb.}%\end{ruledtabular}
        !           477: \label{loosetight1_2} 
        !           478: \end{table}
        !           479: 
        !           480: 
        !           481: 
        !           482: 
        !           483: \begin{table}[t]
        !           484: %\begin{ruledtabular}
        !           485: \begin{tabular}{cccc}
        !           486: \hline 
        !           487: Sample & &
        !           488: \# of events\\
        !           489: \hline 
        !           490: data&
        !           491: &
        !           492: 4733\\
        !           493: $t\overline{t}\rightarrow\tau+jets$&
        !           494: &
        !           495: 51.16 $\pm$ 0.57\\
        !           496: $t\overline{t}\rightarrow e+jets$&
        !           497: &
        !           498: 40.02 $\pm$ 0.50\\
        !           499: $t\overline{t}\rightarrow\mu+jets$&
        !           500: &
        !           501: 48.00 $\pm$ 0.56\\
        !           502: $t\overline{t}\rightarrow l+l$&
        !           503: &
        !           504: 2.16 $\pm$ 0.05\\
        !           505: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
        !           506: &
        !           507: 8.95 $\pm$ 0.27\\
        !           508: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
        !           509: &
        !           510: 7.80 $\pm$ 0.23\\
        !           511: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
        !           512: &
        !           513: 16.32   $\pm$ 0.30 \\
        !           514: $Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
        !           515: &
        !           516: 0.52 $\pm$ 0.05\\
        !           517: $Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
        !           518: &
        !           519: 0.46 $\pm$ 0.04\\
        !           520: $Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
        !           521: &
        !           522: 1.16 $\pm$ 0.12 \\
        !           523: $Zbb+jets\rightarrow$ $ee+bb+jets$&
        !           524: &
        !           525: 0.00 $\pm$ 0.00\\
        !           526: $Zcc+jets\rightarrow$ $ee+cc+jets$&
        !           527: &
        !           528: 0.00 $\pm$ 0.00\\
        !           529: $Zjj+jets\rightarrow$ $ee+jj+jets$&
        !           530: &
        !           531: 0.01 $\pm$ 0.01 \\
        !           532: $Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
        !           533: &
        !           534: 0.06 $\pm$ 0.01\\
        !           535: $Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
        !           536: &
        !           537: 0.07 $\pm$ 0.01\\
        !           538: $Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
        !           539: &
        !           540: 0.11 $\pm$ 0.02 \\ 
        !           541: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
        !           542: &
        !           543: 2.49 $\pm$ 0.24\\
        !           544: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
        !           545: &
        !           546: 1.90 $\pm$ 0.14\\
        !           547: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
        !           548: &
        !           549: 1.28 $\pm$ 0.08 \\ \hline
        !           550: \end{tabular}
        !           551: %\end{ruledtabular}
        !           552: \caption{loose-tight data set composition for type 3 $\tau$ when the assumed cross section is 7.46 pb.}
        !           553: \label{loosetight_3} 
        !           554: \end{table}
        !           555: 
        !           556: \clearpage

FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>