Annotation of ttbar/p20_taujets_note/b_and_tau.tex, revision 1.2
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
1.2 ! uid12904 6: we applied to data and MC. The $b$-tag operating point used was TIGHT, which corresponds
! 7: to NNbtag $>$ 0.775. In there are more than 1 tau candidate in the event then we
! 8: choose the one with the highets $NN_{\tau}$ as the only one. Also we apply a tau-jet matching
! 9: condition. A tau candidate is only used in the measurement if the separation between it
! 10: and a jet is $\Delta R = \sqrt{{(\Delta \eta})^{2} + {(\Delta \phi})^{2}} > 0.5$.
1.1 uid12904 11: At this stage of the analysis we separated the events dataset we deal with into parts,
1.2 ! uid12904 12: according to which type of $\tau$ the candidate with highest $NN_{\tau}$ belongs.
1.1 uid12904 13: This was done primarily to separate the type 3 tau events (which are
14: expected to have much higher fake rate and thus weaker $\ttbar$ cross section result) from the
15: type 2 events. The separate measurement channels were later combined to get the final result
16: (Section \ref{sub:xsect}). In principle, types 1 and 2 should be separated as well
17: but as there exists a considerable
18: cross-migration between them \cite{tau-id} and type 1 is a small fraction of
1.2 ! uid12904 19: the total (10\% of type 1, 54.5\% of type 2 and 35.5\% of type 3), they were taken together in this analysis.
1.1 uid12904 20: The topological NN used to enhance the signal content is described in section \ref{sub:NN-variables} .
21:
22: %Table \ref{b and tau type 3} shows the same efficiencies for
23: %type 3. We see that for type 3 $\tau$ candidates (which are more jet-like then other types) twice more
24: %candidate events are selected due to high $\tau$ fake rate.
25:
26:
27: At this point, we used these ID algorithms to define 3 mutually exclusive and
1.2 ! uid12904 28: exhastive subsamples out of the preselected data sample:
1.1 uid12904 29:
30: \begin{itemize}
1.2 ! uid12904 31: \item The {}``non-$b$-tag'' or {}``signal'' sample - The $\tau$ candidate has $NN_{\tau}>0.90$
! 32: ($NN_{\tau}$ denotes the NN cut commonly applied to all taus)
! 33: 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}).
1.1 uid12904 34: These $NN(\tau)$ cuts were chosen based on previous studies involving hadronic decays of taus \cite{tes,higgs_tau}.
35: This is the sample used to extract the cross section. Jets matched to $\tau$ candidates are not $b$-tagged,
36: althought they still count as jets.
37: \item The {}``$\tau$ veto sample'' or ``loose-tight $\tau$ sample'' - Same selection, but with
38: $0.3<NN_{\tau}<0.7$ for all taus. $\tau$ NN lower cut of 0.3
39: instead of 0.0 was chosen to bias their jet properties closer to those of tight tau candidates,
40: 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.
1.2 ! uid12904 41: In this sample, 1400000 events were used for NN training for taus of Type 1 and 2 and 600000 events were used
! 42: in the case of Type 3 taus. In both cases, the rest of the samples served as QCD template.
1.1 uid12904 43: \item The {}``$b$ veto'' sample - Require exactly 0 tight $b$-tags. This is
1.2 ! uid12904 44: the control sample used to validate of the QCD modelling method. The b veto requirement
1.1 uid12904 45: implies this sample is almost purely background.
46: \end{itemize}
47: %
48:
1.2 ! uid12904 49: One extra cut applied along with the $NN_{\tau}$
! 50: cut described above was the so called NNelec cut. It is meant to be applied to Type 2 taus only in order
! 51: to reduce the probability of having these being faked by electrons. We chose a non-optimized cut of NNelec $>$ 0.9.
1.1 uid12904 52:
53: As both b and $\tau$ ID is the step immediately after the preselection, the number of events available is
1.2 ! uid12904 54: 2800000 events. As explained above 1400000 events were used for taus of Type 1 and 2 NN training
! 55: and 600000 for Type 3 taus NN training. Thus, there are 1400000 events available in each sample for the
! 56: measurement in the case of Types 1 and 2 and 2200000 in the case of Type 3. Details of NN training are given
1.1 uid12904 57: in Section \ref{sub:NN-variables}.
58:
59:
60: The QCD modelling method used here is the same as used in p17 and is described in Section IXA of \cite{p17_note}.
61:
62: The final number of events in each channel for both signal and $b$ veto samples is shown
63: on Tables \ref{b_and_tau_type1_2}, \ref{b_and_tau_type_3}, \ref{bveto_type1_2} and \ref{b_veto_type_3}
64: (only statistical uncertainties are shown).
65:
66: As important as determining the subsamples to be used in this analysis, a determination as precise as possible
67: of both signal and electroweak contamination in the ``loose-tight $\tau$ sample'' had be done in order to
68: know whether this sample is totally QCD dominated or not.
69: Numbers showing the composition of such sample are shown on Tables \ref{loosetight1_2} and \ref{loosetight_3}
70: with their respective statistical uncertainties. From the $t\bar{t}$ content in each case we are able
71: estimate the signal contamination in the loose-tight sample. Such contaminations are 5.4\%
1.2 ! uid12904 72: and 3.0\% for taus of Type 1 and 2 and Type 3 respectively when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed
1.1 uid12904 73: (Section \ref{sub:mcsample}). Likewise we see that electroweak contaminations
74: are 2.2\% and 0.9\%. As this is the sample used to model the QCD background
75: both signal and electroweak contaminations were taken into account when measuring the
76: cross section in Section \ref{sub:xsect}.
77:
78:
79: \begin{table}[h]
80: \begin{tabular}{ccc}
81: \hline
82: &
83: {\scriptsize data}&
84: {\scriptsize taggingMC}\\
85: &
86: {\scriptsize $\geq1$ $\tau$ with $|\eta|<2.5$ and $p_{T}>20$ GeV}&
87: {\scriptsize $\geq1$ $\tau$ with $|\eta|<2.5$ and $p_{T}>20$ GeV}\\
88: &
89: {\scriptsize $\geq1$ NN b-tag}&
90: {\scriptsize $mcweight \cdot TrigWeight \cdot bTagProb \cdot lumiReWeight \cdot PVzReWeight \cdot bFragWeight$ }\\
91: &
92: {\scriptsize }&
93: %{\scriptsize $\cdot WZPtReweight \cdot tau$\_$nnout$\_$corr$\_$p20 \cdot tau$\_$track$\_$corr$\_$p20$ }\\
94: {\scriptsize $\cdot WZPtReweight $ }\\
95: &
96: {\scriptsize $\geq4$ jets with $|\eta|<2.5$ and $p_{T}>20$ GeV}&
97: {\scriptsize $\geq4$ jets with $|\eta|<2.5$ and $p_{T}>20$ GeV}\\
98: \end{tabular}
99: \caption{$b$-tagging and $\tau$ ID. In the MC, we use the $b$-tagging certified
100: parameterization rather than actual $b$-tagging, that is, we applied the
101: $b$-tagging weight. We also used the triggering weight
1.2 ! uid12904 102: as computed by the trigger efficiency parameterization as well as luminosity profile, $PV_Z$ reweighting
! 103: and $WZPt$ reweighting weights. $mcweight$ is the MC normalization factor (to luminosity), which is different for MC
1.1 uid12904 104: samples with different parton multiplicities in ALPGEN MC samples.}%\end{ruledtabular}
105: \label{cap:btaggingandtau}
106: \end{table}
107:
108:
109:
110: %
111: \begin{table}[h]
112: %\begin{ruledtabular}
113: \begin{tabular}{cccc}
114: \hline
115: Sample & &
116: \# events\\
117: \hline
118: data&
119: &
120: 386\\
121: $t\overline{t}\rightarrow\tau+jets$&
122: &
123: 48.03 $\pm$ 0.53&\\
124: $t\overline{t}\rightarrow e+jets$&
125: &
126: 25.57 $\pm$ 0.36&\\
127: $t\overline{t}\rightarrow\mu+jets$&
128: &
129: 3.21 $\pm$ 0.14&\\
130: $t\overline{t}\rightarrow l+l$&
131: &
132: 4.01 $\pm$ 0.07&\\
133: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
134: &
135: 7.48 $\pm$ 0.30\\
136: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
137: &
138: 4.68 $\pm$ 0.17\\
139: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
140: &
141: 5.66 $\pm$ 0.11 \\
1.2 ! uid12904 142: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 143: &
144: 0.93 $\pm$ 0.08\\
1.2 ! uid12904 145: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 146: &
147: 0.51 $\pm$ 0.04\\
1.2 ! uid12904 148: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 149: &
150: 1.07 $\pm$ 0.10 \\
1.2 ! uid12904 151: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 152: &
153: 0.03 $\pm$ 0.01\\
1.2 ! uid12904 154: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 155: &
156: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 157: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 158: &
159: 0.02 $\pm$ 0.01 \\
1.2 ! uid12904 160: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 161: &
162: 0.07 $\pm$ 0.02\\
1.2 ! uid12904 163: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 164: &
165: 0.02 $\pm$ 0.01\\
1.2 ! uid12904 166: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 167: &
168: 0.01 $\pm$ 0.01 \\
169: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
170: &
171: 0.08 $\pm$ 0.03\\
172: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
173: &
174: 0.00 $\pm$ 0.00\\
175: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
176: &
177: 0.04 $\pm$ 0.01\\ \hline
178: \end{tabular}
1.2 ! uid12904 179: \caption{Final number of events in each channel for taus of Types 1 and 2 $\tau$ after b-tagging, $\tau$ ID and trigger
! 180: in the signal sample when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed. An estimate of QCD background is not included.}
1.1 uid12904 181: %\end{ruledtabular}
182: \label{b_and_tau_type1_2}
183: \end{table}
184: %
185:
186: %\clearpage
187:
188: \begin{table}[t]
189: %\begin{ruledtabular}
190: \begin{tabular}{cccc}
191: \hline
192: Sample & &
193: \# of events\\
194: \hline
195: data&
196: &
197: 459\\
198: $t\overline{t}\rightarrow\tau+jets$&
199: &
200: 25.88 $\pm$ 0.39&\\
201: $t\overline{t}\rightarrow e+jets$&
202: &
203: 4.35 $\pm$ 0.16&\\
204: $t\overline{t}\rightarrow\mu+jets$&
205: &
206: 3.43 $\pm$ 0.14&\\
207: $t\overline{t}\rightarrow l+l$&
208: &
209: 2.80 $\pm$ 0.06&\\
210: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
211: &
212: 3.92 $\pm$ 0.17\\
213: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
214: &
215: 3.26 $\pm$ 0.15\\
216: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
217: &
218: 4.08 $\pm$ 0.11\\
1.2 ! uid12904 219: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 220: &
221: 0.74 $\pm$ 0.07\\
1.2 ! uid12904 222: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 223: &
224: 0.41 $\pm$ 0.03\\
1.2 ! uid12904 225: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 226: &
227: 0.80 $\pm$ 0.10 \\
1.2 ! uid12904 228: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 229: &
230: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 231: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 232: &
233: 0.01 $\pm$ 0.01\\
1.2 ! uid12904 234: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 235: &
236: 0.01 $\pm$ 0.01 \\
1.2 ! uid12904 237: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 238: &
239: 0.04 $\pm$ 0.02\\
1.2 ! uid12904 240: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 241: &
242: 0.01 $\pm$ 0.01\\
1.2 ! uid12904 243: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 244: &
245: 0.00 $\pm$ 0.00 \\
246: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
247: &
248: 0.12 $\pm$ 0.04\\
249: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
250: &
251: 0.19 $\pm$ 0.04\\
252: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
253: &
254: 0.06 $\pm$ 0.01 \\ \hline
255: \end{tabular}
1.2 ! uid12904 256: \caption{Final number of events in each channel for taus Type 3 $\tau$ After b-tagging, $\tau$ ID and trigger
! 257: in the signal sample when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed. An estimate of QCD background is not included.}%\end{ruledtabular}
1.1 uid12904 258: \label{b_and_tau_type_3}
259: \end{table}
260:
261: \newpage
262:
263: \begin{table}[t]
264: %\begin{ruledtabular}
265: \begin{tabular}{cccc}
266: \hline
267: Sample & &
268: \# of events\\
269: \hline
270: data&
271: &
272: 2494 \\
273: $t\overline{t}\rightarrow\tau+jets$&
274: &
275: 33.57 $\pm$ 0.34\\
276: $t\overline{t}\rightarrow e+jets$&
277: &
278: 15.67 $\pm$ 0.23&\\
279: $t\overline{t}\rightarrow\mu+jets$&
280: &
281: 2.30 $\pm$ 0.09&\\
282: $t\overline{t}\rightarrow l+l$&
283: &
284: 2.69 $\pm$ 0.04&\\
285: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
286: &
287: 9.29 $\pm$ 0.27\\
288: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
289: &
290: 31.63 $\pm$ 0.90\\
291: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
292: &
293: 169.95 $\pm$ 2.68\\
1.2 ! uid12904 294: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 295: &
296: 1.30 $\pm$ 0.11\\
1.2 ! uid12904 297: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 298: &
299: 3.15 $\pm$ 0.20\\
1.2 ! uid12904 300: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 301: &
302: 16.86 $\pm$ 1.14 \\
1.2 ! uid12904 303: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 304: &
305: 0.02 $\pm$ 0.01\\
1.2 ! uid12904 306: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 307: &
308: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 309: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 310: &
311: 0.74 $\pm$ 0.33 \\
1.2 ! uid12904 312: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 313: &
314: 0.08 $\pm$ 0.02\\
1.2 ! uid12904 315: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 316: &
317: 0.07 $\pm$ 0.03\\
1.2 ! uid12904 318: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 319: &
320: 0.38 $\pm$ 0.22 \\
321: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
322: &
323: 0.10 $\pm$ 0.03\\
324: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
325: &
326: 0.00 $\pm$ 0.00\\
327: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
328: &
329: 1.36 $\pm$ 0.49 \\ \hline
330: \end{tabular}
1.2 ! uid12904 331: \caption{$b$-veto data set composition for Types 1 and 2 $\tau$ when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed.}%\end{ruledtabular}
1.1 uid12904 332: \label{bveto_type1_2}
333: \end{table}
334:
335: %\clearpage
336:
337: \begin{table}[t]
338: %\begin{ruledtabular}
339: \begin{tabular}{cccc}
340: \hline
341: Sample & &
342: \# of events\\
343: \hline
344: data&
345: &
346: 3688 \\
347: $t\overline{t}\rightarrow\tau+jets$&
348: &
349: 19.85 $\pm$ 0.27\\
350: $t\overline{t}\rightarrow e+jets$&
351: &
352: 3.53 $\pm$ 0.13\\
353: $t\overline{t}\rightarrow\mu+jets$&
354: &
355: 2.80 $\pm$ 0.10\\
356: $t\overline{t}\rightarrow l+l$&
357: &
358: 1.81 $\pm$ 0.03\\
359: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
360: &
361: 5.26 $\pm$ 0.19\\
362: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
363: &
364: 22.43 $\pm$ 0.80\\
365: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
366: &
367: 126.41 $\pm$ 2.60 \\
1.2 ! uid12904 368: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 369: &
370: 0.92 $\pm$ 0.09\\
1.2 ! uid12904 371: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 372: &
373: 2.86 $\pm$ 0.20\\
1.2 ! uid12904 374: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 375: &
376: 14.53 $\pm$ 1.15 \\
1.2 ! uid12904 377: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 378: &
379: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 380: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 381: &
382: 0.08 $\pm$ 0.04\\
1.2 ! uid12904 383: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 384: &
385: 0.31 $\pm$ 0.18 \\
1.2 ! uid12904 386: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 387: &
388: 0.04 $\pm$ 0.02\\
1.2 ! uid12904 389: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 390: &
391: 0.05 $\pm$ 0.02\\
1.2 ! uid12904 392: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 393: &
394: 0.05 $\pm$ 0.04 \\
395: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
396: &
397: 0.16 $\pm$ 0.05\\
398: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
399: &
400: 0.83 $\pm$ 0.15\\
401: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
402: &
403: 2.31 $\pm$ 0.46 \\ \hline
404: \end{tabular}
405: %\end{ruledtabular}
1.2 ! uid12904 406: \caption{$b$-veto data set composition for Type 3 $\tau$ when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed.}
1.1 uid12904 407: \label{b_veto_type_3}
408: \end{table}
409:
410:
411: \begin{table}[t]
412: %\begin{ruledtabular}
413: \begin{tabular}{cccc}
414: \hline
415: Sample & &
416: \# of events\\
417: \hline
418: data&
419: &
420: 1217 \\
421: $t\overline{t}\rightarrow\tau+jets$&
422: &
423: 32.94 $\pm$ 0.48\\
424: $t\overline{t}\rightarrow e+jets$&
425: &
426: 17.02 $\pm$ 0.34&\\
427: $t\overline{t}\rightarrow\mu+jets$&
428: &
429: 14.37 $\pm$ 0.32&\\
430: $t\overline{t}\rightarrow l+l$&
431: &
432: 2.43 $\pm$ 0.06&\\
433: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
434: &
435: 6.33 $\pm$ 0.23\\
436: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
437: &
438: 4.63 $\pm$ 0.19\\
439: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
440: &
441: 11.34 $\pm$ 0.26\\
1.2 ! uid12904 442: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 443: &
444: 0.50 $\pm$ 0.06\\
1.2 ! uid12904 445: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 446: &
447: 0.58 $\pm$ 0.06\\
1.2 ! uid12904 448: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 449: &
450: 1.10 $\pm$ 0.13 \\
1.2 ! uid12904 451: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 452: &
453: 0.01 $\pm$ 0.01\\
1.2 ! uid12904 454: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 455: &
456: 0.01 $\pm$ 0.01\\
1.2 ! uid12904 457: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 458: &
459: 0.00 $\pm$ 0.00 \\
1.2 ! uid12904 460: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 461: &
462: 0.03 $\pm$ 0.01\\
1.2 ! uid12904 463: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 464: &
465: 0.04 $\pm$ 0.01\\
1.2 ! uid12904 466: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 467: &
468: 0.02 $\pm$ 0.01 \\
469: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
470: &
471: 1.07 $\pm$ 0.17\\
472: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
473: &
474: 0.57 $\pm$ 0.10\\
475: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
476: &
477: 0.36 $\pm$ 0.04 \\ \hline
478: \end{tabular}
1.2 ! uid12904 479: \caption{loose-tight data set composition for Types 1 and 2 $\tau$ when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed.}%\end{ruledtabular}
1.1 uid12904 480: \label{loosetight1_2}
481: \end{table}
482:
483:
484:
485:
486: \begin{table}[t]
487: %\begin{ruledtabular}
488: \begin{tabular}{cccc}
489: \hline
490: Sample & &
491: \# of events\\
492: \hline
493: data&
494: &
495: 4733\\
496: $t\overline{t}\rightarrow\tau+jets$&
497: &
498: 51.16 $\pm$ 0.57\\
499: $t\overline{t}\rightarrow e+jets$&
500: &
501: 40.02 $\pm$ 0.50\\
502: $t\overline{t}\rightarrow\mu+jets$&
503: &
504: 48.00 $\pm$ 0.56\\
505: $t\overline{t}\rightarrow l+l$&
506: &
507: 2.16 $\pm$ 0.05\\
508: $Wbb+jets\rightarrow$ $l\nu+bb+jets$&
509: &
510: 8.95 $\pm$ 0.27\\
511: $Wcc+jets\rightarrow$ $l\nu+cc+jets$&
512: &
513: 7.80 $\pm$ 0.23\\
514: $Wjj+jets\rightarrow$ $l\nu+jj+jets$&
515: &
516: 16.32 $\pm$ 0.30 \\
1.2 ! uid12904 517: $\gamma Zbb+jets\rightarrow$ $\tau\tau+bb+jets$&
1.1 uid12904 518: &
519: 0.52 $\pm$ 0.05\\
1.2 ! uid12904 520: $\gamma Zcc+jets\rightarrow$ $\tau\tau+cc+jets$&
1.1 uid12904 521: &
522: 0.46 $\pm$ 0.04\\
1.2 ! uid12904 523: $\gamma Zjj+jets\rightarrow$ $\tau\tau+jj+jets$&
1.1 uid12904 524: &
525: 1.16 $\pm$ 0.12 \\
1.2 ! uid12904 526: $\gamma Zbb+jets\rightarrow$ $ee+bb+jets$&
1.1 uid12904 527: &
528: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 529: $\gamma Zcc+jets\rightarrow$ $ee+cc+jets$&
1.1 uid12904 530: &
531: 0.00 $\pm$ 0.00\\
1.2 ! uid12904 532: $\gamma Zjj+jets\rightarrow$ $ee+jj+jets$&
1.1 uid12904 533: &
534: 0.01 $\pm$ 0.01 \\
1.2 ! uid12904 535: $\gamma Zbb+jets\rightarrow$ $\mu\mu+bb+jets$&
1.1 uid12904 536: &
537: 0.06 $\pm$ 0.01\\
1.2 ! uid12904 538: $\gamma Zcc+jets\rightarrow$ $\mu\mu+cc+jets$&
1.1 uid12904 539: &
540: 0.07 $\pm$ 0.01\\
1.2 ! uid12904 541: $\gamma Zjj+jets\rightarrow$ $\mu\mu+jj+jets$&
1.1 uid12904 542: &
543: 0.11 $\pm$ 0.02 \\
544: $Zbb+jets\rightarrow$ $\nu\nu+bb+jets$&
545: &
546: 2.49 $\pm$ 0.24\\
547: $Zcc+jets\rightarrow$ $\nu\nu+cc+jets$&
548: &
549: 1.90 $\pm$ 0.14\\
550: $Zjj+jets\rightarrow$ $\nu\nu+jj+jets$&
551: &
552: 1.28 $\pm$ 0.08 \\ \hline
553: \end{tabular}
554: %\end{ruledtabular}
1.2 ! uid12904 555: \caption{loose-tight data set composition for Type 3 $\tau$ when $\sigma_{t\bar{t}}$ = 7.46 pb is assumed.}
1.1 uid12904 556: \label{loosetight_3}
557: \end{table}
558:
559: \clearpage
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