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Comparing UserCode/Vuko/Notes/WZCSA07/selection.tex (file contents):
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Revision 1.11 by vuko, Sun Jun 22 23:14:53 2008 UTC

# Line 41 | Line 41 | $3\mu$     &   HLTSingleMuonIso
41  
42   \end{center}
43   \caption{HLT Efficiencies, in percent, for all
44 <  the events in the generated phase space for events retained  by
44 >  the events in the generated phase space that have been retained  by
45    the complete event selection.}
46   \label{tab:hlteff}
47   \end{table}
48  
49 +
50 + \begin{figure}[tbp]
51 +  \begin{center}
52 +  \scalebox{0.7}{\includegraphics{figs/mu_isol.eps}}
53 +  \caption{Muon isolation variables for the muon associated
54 +    to the \W-boson decay in $2e1\mu$ events: the left plot
55 +    shows the sum of calorimetric energy in a $\Delta R=0.3$ cone
56 +    around the muon candidate; the right plot shows the sum of
57 +    transverse momenta of tracks within a $\Delta R = 0.25$ cone around
58 +    the muon candidate. The normalization of signal and background
59 +    distributions is arbitrary.
60 + }
61 +  \label{fig:mu_isol}
62 +  \end{center}
63 + \end{figure}
64 +
65 + \begin{figure}[tb]
66 +  \begin{center}
67 +  \scalebox{0.6}{\includegraphics{figs/mu_SIP.eps}}
68 +  \caption{
69 +    Muon impact parameter significance distribution
70 +    in $2e1\mu$ events. The normalization of signal and background
71 +    distributions is arbitrary.
72 +  }
73 +  \label{fig:mu_SIP}
74 +  \end{center}
75 + \end{figure}
76 +
77 +
78   \subsection{Lepton identification}
79   \label{sec:leptonId}
80  
# Line 73 | Line 102 | heavy-quark decays in all Standard Model
102   variable is defined as the ratio between the measured impact parameter
103   and its uncertainty: $S_{IP}=IP/\sigma_{IP}$, and is required to
104   satisfy $S_{IP}<3$. This requirement is applied only for muons
105 < and not for electrons. For electrons, the dominant background
106 < comes from fake electrons and not from heavy quark decays.
105 > and not for electrons. For electrons, a significant fraction of the
106 > background comes from fake electrons and not from heavy quark decays,
107 > and a cut on the impact parameter significance shows no improvement
108 > in significance for the $\W\to e$ channels, as can be seen in
109 > Figure~\ref{fig:wl_IP_SvsCut}.
110  
111 + \begin{figure}[p]
112 +  \begin{center}
113 +  \scalebox{0.6}{\includegraphics{figs/wl_IP_eff.eps}}
114 +  \caption{Efficiency for signal and background as a function
115 +    of the cut value on the \W-boson lepton impact parameter
116 +    significance. All other cuts but the cut on this variable
117 +    are applied.
118 + %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
119 + %    are considered.
120 +  }
121 +  \label{fig:wl_IP_eff}
122 +  \end{center}
123 + %\end{figure}
124 +
125 + %\begin{figure}[bt]
126 +  \begin{center}
127 +  \scalebox{0.6}{\includegraphics{figs/wl_IP_SvsCut.eps}}
128 +  \caption{Signal significance as a function of the cut value on
129 +    the \W-boson lepton impact parameter significance. All other cuts but
130 +    the cut on this variable are applied.
131 + %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev are considered.
132 +  }
133 +  \label{fig:wl_IP_SvsCut}
134 +  \end{center}
135 + \end{figure}
136  
137  
138   \begin{table}[tbp]
# Line 145 | Line 202 | within 20 GeV of the Z-boson mass,$m_Z$.
202   rejected if a second Z candidate is found. This second Z candidate is done
203   with all possible same-flavour opposite-charge combinations which are left
204   after removing the two leptons already used for the first Z candidate. This
205 < veto on the presence of a second Z helps to suppress $ZZ$ events. The invariant
206 < mass distribution for accepted \Z candidates is shown in
207 < Figure~\ref{fig:zcandidates}.
205 > veto on the presence of a second Z helps to suppress $ZZ$ events.
206 > %The invariant
207 > %mass distribution for accepted \Z candidates is shown in
208 > %Figure~\ref{fig:zcandidates}.
209  
210   % and the \Z mass resolution is shown in
211   %Figure~\ref{fig:dzmass}.
# Line 174 | Line 232 | decays, where one of the two muons radia
232   as electrons, possibly after conversion, which shows up as a peak at  around 60 GeV
233   in the Z mass distribution, as shown in figure~\ref{fig:Z2mu1e_60GeVPeak}.
234  
235 < The summary of the selection can be seen in Table~\ref{tab:allcuts}.
235 > The summary of the selection is given in Table~\ref{tab:allcuts}.
236  
237   The expected number of events passing the various steps of the selection
238 < is listed in Tables~\ref{tab:sel-effA} and~\ref{tab:sel-effB}.
238 > is listed in Tables~\ref{tab:sel-effA}.
239   Table~\ref{tab:wz-effimatrix} lists the final selection efficiency for
240   the different generated \W and \Z decays. It can be seen there that \WZ\
241   events with both the \W and the \Z boson decaying into electrons or muons
# Line 188 | Line 246 | selection efficiency for these events is
246   to the \pt cut on the third lepton, since the \pt spectrum of electrons or
247   muons from $W \to \tau \to e/\mu$ decays is softer.
248  
249 + Tables~ref\label{tab:wz-matcheffi-Zee} and \label{tab:wz-matcheffi-Zmumu} show
250 + the fraction of reconstructed \WZ events with with correclty matched leptons
251 + It is in particular worth mentioning that the lepton associated to the \W-decay
252 + is correclty matched to the true lepton from the \W-decay in more than 90\% of
253 + the cases even for events with several lepton candidates available to be associated
254 + to the \W-decay. The choice to take the candidate with the leading \pt is therefore
255 + justified.
256 +
257   \begin{table}[p]
258    \begin{center}
259  
260 +
261 +
262 +
263   \begin{tabular}{lcccc} \hline
264 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
265 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
266 < Found $Z \to ee$         & 219.517 (40.2045 \%)  & 520695 (41.0674 \%)   & 3474.61 (19.7914 \%)  & 29563.3 (40.6254 \%) \\
267 < Z loose electron ID      & 219.517 (100 \%)      & 520695 (100 \%)       & 3474.61 (100 \%)      & 29563.3 (100 \%) \\
268 < Z Lepton Pt cut          & 216.371 (98.5671 \%)  & 515556 (99.0131 \%)   & 3289.22 (94.6645 \%)  & 29109.9 (98.4665 \%) \\
269 < Z Lepton $eta$ cut       & 216.371 (100 \%)      & 515556 (100 \%)       & 3289.22 (100 \%)      & 29109.9 (100 \%) \\
270 < Z Lepton IP cut          & 206.797 (95.5751 \%)  & 492205 (95.4707 \%)   & 3011.11 (91.5448 \%)  & 27833.5 (95.6153 \%) \\
271 < Found $W \to e$          & 42.8968 (20.7434 \%)  & 301.116 (0.061177 \%)         & 14.8797 (0.494158 \%)         & 173.054 (0.621745 \%) \\
272 < W Lepton $\eta$ cut      & 42.8968 (100 \%)      & 301.116 (100 \%)      & 14.8797 (100 \%)      & 173.054 (100 \%) \\
204 < W Lepton Pt cut          & 35.6425 (83.0889 \%)  & 86.9864 (28.8879 \%)  & 9.30549 (62.5383 \%)  & 23.9385 (13.833 \%) \\
205 < W tight electron ID      & 35.6425 (100 \%)      & 86.9864 (100 \%)      & 9.30549 (100 \%)      & 23.9385 (100 \%) \\
206 < Passes HLT               & 35.4852 (99.5587 \%)  & 85.9427 (98.8002 \%)  & 9.30549 (100 \%)      & 23.4938 (98.1424 \%) \\
207 < Z mass window    & 31.7106 (5.8078 \%)   & 54.1554 (0.00427126 \%)       & 3.2585 (0.0185605 \%)         & 17.046 (0.0234243\%) \\
264 > \multicolumn{5}{c}{ {\bf $3e$ Channel}} \\ \hline  \hline
265 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
266 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
267 > Found $Z \to ee$         & 204.969 (37.5401 \%)  & 27800.5 (38.203 \%)   & 502344 (39.62 \%)     & 2920.59 (16.6357 \%) \\
268 > Found $W \to e$          & 41.9925 (20.4872 \%)  & 171.053 (0.615286 \%)         & 309.563 (0.0616238 \%)        & 13.8293 (0.473511 \%) \\
269 > W Lepton Pt cut          & 34.8561 (83.0056 \%)  & 23.7161 (13.8648 \%)  & 86.7924 (28.037 \%)   & 8.25515 (59.6931 \%) \\
270 > Passes HLT               & 34.7185 (99.6052 \%)  & 23.5679 (99.375 \%)   & 86.7924 (100 \%)      & 8.25515 (100 \%) \\
271 > Z mass window    & 31.5533 (90.8834 \%)  & 17.4906 (74.2138 \%)  & 51.8927 (59.7894 \%)  & 3.2585 (39.4724 \%) \\ \hline
272 > Overall efficiency  & 5.77899 \% & 0.0240354 \% & 0.00409279 \% & 0.0185605 \% \\
273   \hline
274   \end{tabular}
210
211
275   \begin{tabular}{lcccc} \hline
276 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
277 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
278 < Found $Z \to ee$         & 219.517 (40.2045 \%)  & 520695 (41.0674 \%)   & 3474.61 (19.7914 \%)  & 29563.3 (40.6254 \%) \\
279 < Z electron ID loose      & 219.517 (100 \%)      & 520695 (100 \%)       & 3474.61 (100 \%)      & 29563.3 (100 \%) \\
280 < Z Lepton Pt cut          & 216.371 (98.5671 \%)  & 515556 (99.0131 \%)   & 3289.22 (94.6645 \%)  & 29109.9 (98.4665 \%) \\
281 < Z Lepton $eta$ cut       & 216.371 (100 \%)      & 515556 (100 \%)       & 3289.22 (100 \%)      & 29109.9 (100 \%) \\
282 < Z Lepton IP cut          & 206.797 (95.5751 \%)  & 492205 (95.4707 \%)   & 3011.11 (91.5448 \%)  & 27833.5 (95.6153 \%) \\
283 < Found $W \to \mu$        & 57.1892 (27.6547 \%)  & 5982.86 (1.21552 \%)  & 815.122 (27.0705 \%)  & 3808.22 (13.6821 \%) \\
284 < W Lepton $\eta$ cut      & 57.1695 (99.9656 \%)  & 5964.1 (99.6865 \%)   & 815.122 (100 \%)      & 3805.62 (99.9319 \%) \\
222 < W $\mu$ isolation        & 52.1367 (91.1967 \%)  & 2754.29 (46.1811 \%)  & 85.5097 (10.4904 \%)  & 1328.18 (34.9004 \%) \\
223 < W muon isolation         & 39.8889 (76.5083 \%)  & 22.2149 (0.806557 \%)         & 18.8521 (22.0468 \%)  & 16.6013 (1.24993 \%) \\
224 < Passes HLT               & 38.7683 (97.1907 \%)  & 21.2077 (95.466 \%)   & 16.5627 (87.8556 \%)  & 16.1566 (97.3214 \%) \\
225 < Z mass window    & 34.6399 (6.34429 \%)  & 17.3805 (0.00137081 \%)       & 5.4405 (0.0309891 \%)         & 14.0814 (0.0193505 \%) \\
276 > \multicolumn{5}{c}{ {\bf $2e1\mu$ Channel}} \\ \hline  \hline
277 > Step   & WZ  & bbll  & Z+jets  & \ttjets\\ \hline
278 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
279 > Found $Z \to ee$         & 204.969 (37.5401 \%)  & 27800.5 (38.203 \%)   & 502344 (39.62 \%)     & 2920.59 (16.6357 \%) \\
280 > Found $W \to \mu$        & 47.9099 (23.3743 \%)  & 747.725 (2.68961 \%)  & 2194.09 (0.436771 \%)         & 56.7645 (1.9436 \%) \\
281 > W Lepton Pt cut          & 37.0973 (77.4313 \%)  & 9.63467 (1.28853 \%)  & 9.57604 (0.436446 \%)         & 17.5382 (30.8965 \%) \\
282 > Passes HLT               & 36.1929 (97.5623 \%)  & 9.26411 (96.1538 \%)  & 8.32189 (86.9033 \%)  & 15.2488 (86.9457 \%) \\
283 > Z mass window    & 32.5166 (89.8425 \%)  & 8.15242 (88 \%)       & 7.31467 (87.8968 \%)  & 4.91533 (32.2343 \%) \\ \hline
284 > Overall efficiency  & 5.95542 \% & 0.0112029 \% & 0.000576911 \% & 0.0279978 \% \\
285   \hline
286   \end{tabular}
287  
288   \begin{tabular}{lcccc} \hline
289 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
290 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
291 < Found $Z \to \mu\mu$     & 326.484 (59.7955 \%)  & 748256 (59.0152 \%)   & 14081.6 (80.2087 \%)  & 43207.1 (59.3746 \%) \\
292 < Z muon isolation                 & 282.27 (86.4575 \%)   & 669556 (89.4822 \%)   & 4201.52 (29.837 \%)   & 37959.1 (87.8538 \%) \\
293 < Z Lepton $eta$ cut       & 282.27 (100 \%)       & 669547 (99.9987 \%)   & 4200.47 (99.975 \%)   & 37959.1 (99.9998 \%) \\
294 < Z Lepton Pt cut                  & 274.249 (97.1584 \%)  & 657267 (98.1659 \%)   & 3626.81 (86.3429 \%)  & 36945.8 (97.3306 \%) \\
295 < Z Lepton IP cut                  & 249.792 (91.0824 \%)  & 603257 (91.7827 \%)   & 3125.35 (86.1737 \%)  & 33937.7 (91.8581 \%) \\
296 < Found $W \to e$          & 51.9401 (20.7933 \%)  & 797.766 (0.132243 \%)         & 20.4415 (0.654055 \%)         & 228.342 (0.672826 \%) \\
297 < W Lepton $\eta$ cut      & 51.9401 (100 \%)      & 797.766 (100 \%)      & 20.4415 (100 \%)      & 228.342 (100 \%) \\
298 < W tight electron ID              & 51.9401 (100 \%)      & 797.766 (100 \%)      & 20.4415 (100 \%)      & 228.342 (100 \%) \\
240 < W Lepton Pt cut                  & 43.2703 (83.3081 \%)  & 519.647 (65.1378 \%)  & 15.0823 (73.7829 \%)  & 55.14 (24.148 \%)\\
241 < Passes HLT               & 41.8745 (96.7742 \%)  & 490.859 (94.46 \%)    & 13.533 (89.7275 \%)   & 54.2506 (98.3871 \%) \\
242 < Z mass window    & 37.5298 (6.87358 \%)  & 63.522 (0.00501 \%)   & 5.02282 (0.02861 \%)  & 20.0105 (0.0274981 \%) \\
289 > \multicolumn{5}{c}{ {\bf $2\mu1e$ Channel}} \\ \hline  \hline
290 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
291 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
292 > Found $Z \to \mu\mu$     & 233.75 (42.8114 \%)   & 31889.4 (43.8219 \%)  & 577257 (45.5284 \%)   & 2778.81 (15.8282 \%) \\
293 > Found $W \to e$          & 48.7553 (20.8579 \%)  & 213.519 (0.669562 \%)         & 701.695 (0.121557 \%)         & 15.1085 (0.543704 \%) \\
294 > W Lepton Pt cut                  & 40.6556 (83.3871 \%)  & 50.6191 (23.707 \%)   & 464.493 (66.196 \%)   & 10.2745 (68.0047 \%) \\
295 > $\Delta R(e,\mu)$ cut    & 40.5573 (99.7582 \%)  & 23.3456 (46.1201 \%)  & 92.9813 (20.0178 \%)  & 7.14967 (69.5865 \%) \\
296 > Passes HLT                       & 39.4171 (97.1886 \%)  & 23.1973 (99.3651 \%)  & 88.7791 (95.4806 \%)  & 6.6245 (92.6546 \%) \\
297 > Z mass window    & 35.5638 (90.2244 \%)  & 18.8988 (81.4696 \%)  & 50.2509 (56.6022 \%)  & 2.84083 (42.8837 \%) \\ \hline
298 > Overall efficiency  & 6.51352 \% & 0.0259704 \% & 0.00396331 \% & 0.0161814 \% \\
299   \hline
300   \end{tabular}
301  
302 +
303   \begin{tabular}{lcccc} \hline
304 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
305 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
306 < Found $Z \to \mu\mu$     & 326.484 (59.7955 \%)  & 748256 (59.0152 \%)   & 14081.6 (80.2087 \%)  & 43207.1 (59.3746 \%) \\
307 < Z muon isolation                 & 282.27 (86.4575 \%)   & 669556 (89.4822 \%)   & 4201.52 (29.837 \%)   & 37959.1 (87.8538 \%) \\
308 < Z Lepton $eta$ cut       & 282.27 (100 \%)       & 669547 (99.9987 \%)   & 4200.47 (99.975 \%)   & 37959.1 (99.9998 \%) \\
309 < Z Lepton Pt cut                  & 274.249 (97.1584 \%)  & 657267 (98.1659 \%)   & 3626.81 (86.3429 \%)  & 36945.8 (97.3306 \%) \\
310 < Z Lepton IP cut                  & 249.792 (91.0824 \%)  & 603257 (91.7827 \%)   & 3125.35 (86.1737 \%)  & 33937.7 (91.8581 \%) \\
311 < Found $W \to \mu$        & 73.015 (29.2303 \%)   & 7135.7 (1.18286 \%)   & 774.076 (24.7677 \%)  & 4435.51 (13.0696 \%) \\
312 < W Lepton $\eta$ cut      & 72.956 (99.9192 \%)   & 7110.07 (99.6409 \%)  & 774.076 (100 \%)      & 4432.32 (99.9282 \%) \\
256 < W $\mu$ isolation        & 66.724 (91.4578 \%)   & 3382.99 (47.5803 \%)  & 78.3017 (10.1155 \%)  & 1560.97 (35.2178 \%) \\
257 < W muon isolation         & 50.1118 (75.1031 \%)  & 6.25174 (0.184799 \%)         & 5.8096 (7.41951 \%)   & 20.6775 (1.32466 \%) \\
258 < Passes HLT               & 49.7972 (99.3723 \%)  & 6.25174 (100 \%)      & 5.8096 (100 \%)       & 20.6034 (99.6416 \%) \\
259 < Z mass window    & 45.1576 (8.27062 \%)  & 4.9976 (0.000394162 \%)       & 1.683 (0.00958638 \%)         & 18.3059 (0.0251557 \%) \\
304 > \multicolumn{5}{c}{ {\bf $3\mu$ Channel}} \\ \hline  \hline
305 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
306 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
307 > Found $Z \to \mu\mu$     & 233.75 (42.8114 \%)   & 31889.4 (43.8219 \%)  & 577257 (45.5284 \%)   & 2778.81 (15.8282 \%) \\
308 > Found $W \to \mu$        & 57.7986 (24.7267 \%)  & 810.721 (2.54229 \%)  & 2520.69 (0.436668 \%)         & 35.3061 (1.27054 \%) \\
309 > W Lepton Pt cut                  & 44.2533 (76.5646 \%)  & 8.89355 (1.09699 \%)  & 1.84115 (0.0730414 \%)        & 1.683 (4.76688 \%) \\
310 > Passes HLT                       & 43.9977 (99.4225 \%)  & 8.89355 (100 \%)      & 1.84115 (100 \%)      & 1.683 (100 \%) \\
311 > Z mass window    & 40.0462 (91.0188 \%)  & 7.78185 (87.5 \%)     & 1.84115 (100 \%)      & 1.15783 (68.7957 \%) \\ \hline
312 > Overall efficiency  & 7.33446 \% & 0.0106937 \% & 0.000145212 \% & 0.00659501 \% \\
313   \hline
314   \end{tabular}
315 +
316 +
317   \caption{Expected number of signal and background events passing the different
318 <  selections steps in the \WZ, \ttbar and \Zbbbar samples for an integrated luminosity
318 >  selections steps in the \WZ, \Zbbbar, \Zjets and \ttjets samples for an integrated luminosity
319    of 1 \invfb.}
320   \label{tab:sel-effA}
321   \end{center}
322   \end{table}
323  
324 <
270 <
271 < %\subsection{Signal extraction}
272 < %\input D0Matrix
273 < \input zjetbackground
274 <
275 <
276 < \section{Systematic uncertainties}
277 < \input Sys
278 <
279 <
280 < \begin{figure}[bt]
281 <  \begin{center}
282 <  \scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}}
283 <  \caption{Missing transverse mass for the four signal categories.
284 <    The distributions  show the number of expected events
285 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
286 <    are shown. All selection cuts are applied.}
287 <  \label{fig:met}
288 <  \end{center}
289 < \end{figure}
290 <
291 < \begin{figure}[bt]
292 <  \begin{center}
293 <  \scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}}
294 <  \caption{W transverse mass for the four signal categories.
295 <    The distributions  show the number of expected events
296 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.
297 <    All selection cuts are applied.}
298 <  \label{fig:mtw}
299 <  \end{center}
300 < \end{figure}
301 <
302 <
303 <
304 <
305 < \begin{table}[tbp]
324 > \begin{table}[p]
325   \begin{center}
326   \begin{tabular}{lccccc}
327   \hline \hline
# Line 335 | Line 354 | $3\mu$     &  0 \%  &  23.4 \%  &  0.057
354   \caption{Selection efficiency for signal events in the four selection channels for the different
355    generated \W and \Z decay channels.}
356   \label{tab:wz-effimatrix}
338 \end{table}
339
357  
358 < \begin{table}[tbp]
358 > %\end{table}
359 > %\begin{table}[tbp]
360   \begin{center}
361   \begin{tabular}{llcc} \hline
362    & & \multicolumn{2}{c}{Generated decay:} \\
# Line 441 | Line 459 | $3\mu$     & matched WZ & -1+/--1 & 0.90
459   \label{tab:wz-matcheffi-Zmumu}
460   \end{table}
461  
462 +
463 + %\subsection{Signal extraction}
464 + %\input D0Matrix
465 + \input zjetbackground
466 +
467 +
468 + \section{Systematic uncertainties}
469 + \input Sys
470 +
471 +
472 + \begin{figure}[bt]
473 +  \begin{center}
474 +  \scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}}
475 +  \caption{Missing transverse mass for the four signal categories.
476 +    The distributions  show the number of expected events
477 +    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
478 +    are shown. All selection cuts are applied.}
479 +  \label{fig:met}
480 +  \end{center}
481 + \end{figure}
482 +
483 + \begin{figure}[bt]
484 +  \begin{center}
485 +  \scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}}
486 +  \caption{W transverse mass for the four signal categories.
487 +    The distributions  show the number of expected events
488 +    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.
489 +    All selection cuts are applied.}
490 +  \label{fig:mtw}
491 +  \end{center}
492 + \end{figure}
493 +
494 +
495 +
496 +
497 +

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