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Revision 1.19 by vuko, Fri Jun 27 23:38:48 2008 UTC

# Line 36 | Line 36 | $3\mu$     &   HLTSingleMuonIso
36   \end{tabular}
37  
38   \end{center}
39 < \caption{HLT Efficiencies, in percent, for all
40 <  the events in the generated phase space that have been retained  by
41 <  the complete event selection.}
39 > \caption{HLT Efficiencies for all the events in the generated phase space that
40 >  have been retained  by the complete event selection.}
41   \label{tab:hlteff}
42   \end{table}
43  
# Line 86 | Line 85 | within a $\Delta R = 0.25$ cone around t
85   These cuts reduce the background from muons originated in
86   \b-quark decays of the $\Zbbbar$ background, which are close to tracks
87   and clusters from the other \b-quark decay products.
88 + The signal and background distributions of these isolation variables
89 + are shown in Figure~\ref{fig:mu_isol} for the muon in $2e1\mu$ candidate
90 + events.
91  
92   %Figures~\ref{fig:muonisol} and ~\ref{fig:muonisoleffi} show the
93   %performance of the isolation cut. The distribution of the isolation
# Line 102 | Line 104 | and not for electrons. For electron cand
104   background comes from misidentified light quark jets. Thus,
105   the requirement on the impact parameter significance does not
106   increase the significance of the $\W\to e$ channels, as can be seen in
107 < Fig.~\ref{fig:wl_IP_SvsCut}.
107 > Fig.~\ref{fig:wl_IP_SvsCut}. The distribution of $S_{IP}$ for the muon
108 > in $2e1\mu$ candidate events is shown in Figure~\ref{fig:mu_SIP}.
109 >
110 > The muons fullfilling all these requirements will be called ``tight'', while global
111 > muons without requirements on isolation or impact parameter significance are called ``loose''.
112  
113   \begin{figure}[p]
114    \begin{center}
# Line 111 | Line 117 | Fig.~\ref{fig:wl_IP_SvsCut}.
117      of the requirement on the \W-boson lepton impact parameter
118      significance. All other criteria but the one on impact parameter
119      significance are applied.
120 < %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
120 > %    Only events with 81 GeV $< M_Z < $ 101 \gev
121   %    are considered.
122    }
123    \label{fig:wl_IP_eff}
# Line 124 | Line 130 | Fig.~\ref{fig:wl_IP_SvsCut}.
130    \caption{Signal significance as a function of requirement on
131      the \W-boson lepton impact parameter significance. All other criteria but
132      the requirement on the impact parameter significance are applied.
133 < %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev are considered.
133 > %    Only events with 81 GeV $< M_Z < $ 101 \gev are considered.
134    }
135    \label{fig:wl_IP_SvsCut}
136    \end{center}
# Line 163 | Line 169 | Signal region  &    \multicolumn{4}{|c|}
169    \caption{Efficiency for signal and background as a function
170      of the cut value on the \W-boson lepton transverse momentum.
171      All other cuts but the cut on this variable are applied.
172 <    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
172 >    Only events with 81 GeV $< M_Z < $ 101 \gev
173      are considered.}
174    \label{fig:wlpt_cuteff}
175    \end{center}
# Line 175 | Line 181 | Signal region  &    \multicolumn{4}{|c|}
181    \caption{Signal significance as a function of the cut value on
182      the \W-boson lepton transverse momentum. All other cuts but
183      the cut on this variable are applied. Only events with
184 <    81.1 GeV $< M_Z < $ 101.1 \gev are considered.}
184 >    81 GeV $< M_Z < $ 101 \gev are considered.}
185    \label{fig:wlpt_cutS}
186    \end{center}
187   \end{figure}
# Line 206 | Line 212 | secondary \Z boson veto helps to suppres
212   %Figure~\ref{fig:dzmass}.
213  
214   After the \Z boson candidate is identified, the remaining leptons in the event
215 < are required to pass the tight criteria described in~\cite{noteElectronID}.
215 > are required, for electrons, to pass the tight criteria described in~\cite{noteElectronID}
216 > or, for muons, all criteria described in section~\ref{sec:leptonId}.
217   If more than one lepton candidate satisfies the tight requirements, the one with the
218   highest $p_T$ is associated with \W boson decay. This lepton's $p_T$ is effective
219   discriminant against \Zbbbar and \Zjets production (see Fig.~\ref{fig:wlpt_cuteff}).
220   We require the transverse momentum to exceed 20 GeV, as it maximizes
221   the significance of the \WZ\ signal with respect to background as shown in
222 < Fig.~\ref{wlpt_cuteff}.
222 > Fig.~\ref{fig:wlpt_cutS}.
223  
224   An additional requirement on the isolation between electron and muon candidates is applied
225   for the $2\mu 1e$ channel, by demanding the value of $\Delta R$ between the electron
# Line 221 | Line 228 | the \Z boson decay to be greater than 0.
228  
229   This requirement allows suppressing the contribution of $\Z \to \mu\mu$
230   decays, where one of the two muons radiates a photon which is reconstructed
231 < as an electron, possibly after conversion. This can be seen as a peak in the dimuon
232 < invariant mass at  around 60 GeV in Fig.~\ref{fig:Z2mu1e_60GeVPeak}.
231 > as an electron, possibly after conversion.
232 > % ADD THE PLOT TO JUSTIFY THIS COMMENT
233 > % This can be seen as a peak in the dimuon
234 > %invariant mass at  around 60 GeV in Fig.~\ref{fig:Z2mu1e_60GeVPeak}.
235  
236   The summary of the selection criteria is given in Table~\ref{tab:allcuts}.
237  
# Line 236 | Line 245 | decays. However, this contribution is su
245   on the third lepton, as leptons from $\tau$ decays are not as energetic as those from
246   $\W \to \ell \nu$ processes.
247  
248 < In Tables~ref\label{tab:wz-matcheffi-Zee} and \label{tab:wz-matcheffi-Zmumu} we
248 > In Tables~\ref{tab:wz-matcheffi-Zee} and \ref{tab:wz-matcheffi-Zmumu} we
249   display the fraction of reconstructed \WZ events with correctly-matched leptons.
250   It can be seen that the lepton associated with the \W boson decay is correctly matched
251   to the true Monte Carlo lepton from the \W boson decay in more than 90\% of
# Line 247 | Line 256 | therefore, justified.
256   \begin{table}[p]
257    \begin{center}
258  
259 <
251 <
252 <
253 < \begin{tabular}{lcc|cc|cc|cc|c} \hline \hline
259 > \begin{tabular}{lcc|cc|cc|cc|} \hline
260   \multicolumn{9}{c}{ {\bf $3e$ Channel}} \\ \hline  \hline
261 < Step                                 & \WZ  & $\epsilon$ & $b\bar{b}\ell\ell$  & $\epsilon$ & $\Z+jets$  & $\epsilon$ & $t\bar{t}+jets$  & $\epsilon$ \\ \hline
262 < All events                       & 546   &                    & 72,700 &                     & 1,268,000       &                       & 17,600     &               \\
263 < Found $\Z \to ee$         & 205   & 38\%         & 27,800 & 38\%            & 502,300          & 40\%            & 2,920        & 17\%    \\
264 < Found $\W \to e\nu$    & 42.0  & 21\%         & 171       & 0.6\%           & 309.6               & 0.06\%        & 13.8           & 0.5\%   \\
265 < \W lepton $p_T$ cut    & 34.9  & 83\%          & 23.7     & 14\%            & 86.8                  & 28 \%          &   8.3            & 60\%   \\
266 < Passes HLT                  & 34.7  & 100\%        & 23.6     & 99\%            & 86.8                  &100\%         &   8.3            & 100\%  \\
267 < \Z mass window           & 31.6  & 91\%          & 17.5     & 74\%            & 51.9                  &60\%           &    3.3            & 39\%    \\ \hline
268 < Overall efficiency        &           &  5.8\%        &              &   0.024\%    &                            & 0.0041\%  &                     & 0.019\% \\
269 < \hline\hline
261 > Step   & $\WZ \to 3e\nu$ &  $ \epsilon$  & $\Z+jets$ &  $ \epsilon$  & $t\bar{t}+jets$ &  $ \epsilon$  & $b\bar{b}\ell\ell$ &  $ \epsilon$\\ \hline
262 > All events       & 185 &         & $5.82\cdot 10^6$ &    & $8.27\cdot 10^5$ &    & $1.44\cdot 10^5$ &  \\
263 > Found $\Z \to ee$         & 73.9 & 39.9\%        & $5.02\cdot 10^5$ & 8.63\%    & $2.92\cdot 10^3$ & 0.353\%   & $2.78\cdot 10^4$ & 19.4\% \\
264 > Second \Z veto            & 73.9 & 100\%         & $5.02\cdot 10^5$ & 100\%     & $2.92\cdot 10^3$ & 99.9\%    & $2.78\cdot 10^4$ & 100\% \\
265 > Found $\W \to e\nu$          & 37.4 & 50.6\%        & 310 & 0.062\%       & 13.8 & 0.474\%       & 171 & 0.61\% \\
266 > \W lepton $p_T$ cut          & 32.5 & 86.7\%        & 86.8 & 28\%  & 8.26 & 59.7\%        & 23.4 & 13.7\% \\
267 > Passes HLT               & 32.3 & 99.6\%        & 86.8 & 100\%         & 8.26 & 100\%         & 23.3 & 99.7\% \\
268 > \Z mass window    & 29.5 & 91.2\%        & 51.9 & 59.8\%        & 3.26 & 39.5\%        & 17.3 & 74\% \\
269 > \hline
270 >  Overall efficiency  &  &  15.9\% &  &  0.00089\% &  &  0.00039\% &  &  0.012\% \\
271 > \hline
272  
273   \multicolumn{9}{c}{ {\bf $2e1\mu$ Channel}} \\ \hline  \hline
274 < Step   & \WZ  & $\epsilon$ & $b\bar{b}\ell\ell$ & $\epsilon$ & $\Z+jets$  & $\epsilon$ & $t\bar{t}+jets$ & $\epsilon$  \\ \hline
275 < All events                        & 546  &             & 72,770 &                 & 1,268,000       &                    & 17,600            &             \\
276 < Found $\Z \to ee$          & 201  & 38\%  & 27,800  & 38\%      &  502,300          &  40\%     &     2,921          &17\% \\
277 < Found $\W \to \mu\nu$ & 47.9 & 23\%  & 748       & 2.7\%      &  2194         &  0.43\%  &      56.8          &1.9\% \\
278 < \W lepton $p_T$ cut      & 37.1 & 77\%  & 9.6        & 1.3\%      &   9.6                  &  0.4\%         &      17.5         &31\% \\
279 < Passes HLT                    & 36.2 & 98\%  & 9.3        & 96\%       &   8.3                  &  87\%    &     15.2   & 87 \%) \\
280 < \Z mass window             & 32.5 & 90\%  & 8.2        &  88\%      &    7.3                 &  88\%            &       4.9         & 32\%) \\ \hline
281 < Overall efficiency          &          & 6.0\% &               & 0.011\% &                           &  0.00058\% &                      &     0.028\% \\
282 < \hline \hline
274 > Step   & $\WZ \to 2e1\mu\nu$ &  $ \epsilon$  & $\Z+jets$ &  $ \epsilon$  & $t\bar{t}+jets$ &  $ \epsilon$  & $b\bar{t}\ell\ell$ &  $ \epsilon$\\ \hline
275 > All events       & 185 &         & $5.82\cdot 10^6$ &    & $8.27\cdot 10^5$ &    & $1.44\cdot 10^5$ &  \\
276 > Found $\Z \to ee$         & 63.8 & 34.5\%        & $5.02\cdot 10^5$ & 8.63\%    & $2.92\cdot 10^3$ & 0.35\%   & $2.78\cdot 10^4$ & 19.4\% \\
277 > Second \Z veto            & 63.7 & 99.9\%        & $5.02\cdot 10^5$ & 100\%     & $2.92\cdot 10^3$ & 99.9\%    & $2.78\cdot 10^4$ & 100\% \\
278 > Found $\W \to \mu\nu$        & 42.6 & 66.8\%        & $2.19\cdot 10^3$ & 0.44\%   & 55.6 & 1.91\%        & 748 & 2.69\% \\
279 > \W lepton $p_T$ cut          & 35.1 & 82.5\%        & 9.58 & 0.44\%       & 16.4 & 29.5\%        & 9.49 & 1.27\% \\
280 > Passes HLT               & 34.3 & 97.6\%        & 8.32 & 86.9\%        & 14.1 & 86\%  & 9.12 & 96.1\% \\
281 > \Z mass window    & 30.8 & 89.8\%        & 7.31 & 87.9\%        & 3.76 & 26.7\%        & 8 & 87.8\% \\
282 > \hline
283 >  Overall efficiency  &  &  16.7\% &  &  0.00013\% &  &  0.00045\% &  &  0.0056\% \\
284 > \hline
285  
286   \multicolumn{9}{c}{ {\bf $2\mu1e$ Channel}} \\ \hline  \hline
287 < Step   & \WZ   & $\epsilon$ & $b\bar{b}\ell\ell$   & $\epsilon$ & $\Z+jets$   & $\epsilon$ & $t\bar{t}+jets$  & $\epsilon$ \\ \hline
288 < All events       & 546  &   & 72,770   &    & 1,268,000 &    & 17,600 &  \\
289 < Found $\Z \to \mu\mu$     & 234  &43\%&      31,890 & 44\% & 577,200 & 46\%   & 2779 & 16\% \\
290 < Found $\W \to e\nu$          & 48.8 &21\%&    214        & 0.67\%   & 702 & 0.12\%         & 15.1 & 0.54\% \\
291 < \W lepton $p_T$ cut          & 40.7 &83\%&      50.6      & 24\%      & 464.0 & 66\%      & 10.3 & 68\% \\
292 < $\Delta R(e,\mu)$ cut       & 40.6&100\%&      23.3     & 46\%     & 93.0 & 20\%         & 7.1 & 70\%  \\
293 < Passes HLT                       & 39.4 &97\%&        23.2     & 99\%      & 88.8 & 95\%        & 6.6  & 93\%  \\
294 < \Z mass window                & 35.6 & 90\% &          18.9 & 81\%      & 50.3 & 57\%       & 2.8   &44\%  \\ \hline
295 < Overall efficiency              &           &6.5\%  &                  & 0.026\% &           & 0.0040\%  &          & 0.016\% \\
296 < \hline \hline
297 <
287 > Step   & $\WZ \to 2\mu1e$ &  $ \epsilon$  & $\Z+jets$ &  $ \epsilon$  & $t\bar{t}+jets$ &  $ \epsilon$  & $b\bar{b}\ell\ell$ &  $ \epsilon$\\ \hline
288 > All events       & 190 &         & $5.82\cdot 10^6$ &    & $8.27\cdot 10^5$ &    & $1.44\cdot 10^5$ &  \\
289 > Found $\Z \to \mu\mu$     & 75.2 & 39.7\%        & $5.77\cdot 10^5$ & 9.92\%    & $2.78\cdot 10^3$ & 0.336\%   & $3.19\cdot 10^4$ & 22.2\% \\
290 > Second \Z veto            & 75.2 & 100\%         & $5.77\cdot 10^5$ & 100\%     & $2.77\cdot 10^3$ & 99.9\%    & $3.19\cdot 10^4$ & 100\% \\
291 > Found $\W \to e\nu$          & 44 & 58.5\%  & 702 & 0.12\%        & 15.1 & 0.54\%       & 213 & 0.67\% \\
292 > \W lepton $p_T$ cut                  & 38.4 & 87.2\%        & 464 & 66.2\%         & 10.3 & 68\%  & 50.5 & 23.7\% \\
293 > $\Delta R(e,\mu)$ cut    & 38.4 & 99.9\%        & 93 & 20\%    & 7.15 & 69.6\%        & 23.3 & 46\% \\
294 > Passes HLT                       & 37.3 & 97.1\%        & 88.8 & 95.5\%        & 6.62 & 92.7\%        & 23.1 & 99.4\% \\
295 > \Z mass window    & 33.6 & 90.1\%        & 50.3 & 56.6\%        & 2.84 & 42.9\%        & 18.8 & 81.4\% \\
296 > \hline
297 >  Overall efficiency  &  &  17.7\% &  &  0.00086\% &  &  0.00034\% &  &  0.013\% \\
298 > \hline
299 > %\end{tabular}
300 > %\begin{tabular}{lcc|cc|cc|cc|} \hline
301   \multicolumn{9}{c}{ {\bf $3\mu$ Channel}} \\ \hline  \hline
302 < Step   & \WZ   & $\epsilon$ & ${b\bar{b}\ell\ell}$   & $\epsilon$ & $\Z+jets$   & $\epsilon$ & ${t\bar{t}+jets}$  & $\epsilon$ \\ \hline
303 < All events       & 546 &   & 72,770  &      & 1,268,000  &   & 17,600 &  \\
304 < Found $Z \to \mu\mu$        & 234     & 43\%   & 31,900 & 44\%       & 577,000 & 45\%          & 2779  & 16 \% \\
305 < Found $W \to \mu$             & 58        & 25 \%  & 811      & 2.5\%      & 2521       & 0.44\%       & 35.3   & 1.23 \% \\
306 < W Lepton Pt cut                   & 44.2    & 77 \% & 8.9         & 1.1\%      & 1.8          & 0.07\%        & 1.7     & 4.8 \% \\
307 < Passes HLT                         & 44.0    & 99\%  & 8.9          & 100\%    & 1.8         & 100 \%        & 1.7     & 100 \% \\
308 < Z mass window                   & 40.0    & 91 \%)  & 7.8        & 88\%      & 1.8          & 100 \%        & 1.2     & 69\% \\ \hline
309 < Overall efficiency               &             & 7.3 \% &                & 0.011\% &                & 0.00015\% &            & 0.0065\% \\
302 > Step   & $\WZ \to 3\mu$ &  $ \epsilon$  & $\Z+jets$ &  $ \epsilon$  & $t\bar{t}+jets$ &  $ \epsilon$  & $b\bar{b}\ell\ell$ &  $ \epsilon$\\ \hline
303 > All events       & 189 &         & $5.82\cdot 10^6$ &    & $8.27\cdot 10^5$ &    & $1.44\cdot 10^5$ &  \\
304 > Found $\Z \to \mu\mu$     & 83.8 & 44.3\%        & $5.77\cdot 10^5$ & 9.92\%    & $2.78\cdot 10^3$ & 0.336\%   & $3.19\cdot 10^4$ & 22.2\% \\
305 > Second \Z veto            & 83.6 & 99.8\%        & $5.77\cdot 10^5$ & 100\%     & $2.77\cdot 10^3$ & 99.9\%    & $3.19\cdot 10^4$ & 100\% \\
306 > Found $\W \to \mu\nu$        & 51.8 & 62\%  & $2.52\cdot 10^3$ & 0.44\%   & 34.8 & 1.25\%        & 810 & 2.54\% \\
307 > \W lepton $p_T$ cut                  & 42.5 & 81.9\%        & 1.84 & 0.07\%       & 1.16 & 3.33\%        & 8.89 & 1.1\% \\
308 > Passes HLT                       & 42.2 & 99.4\%        & 1.84 & 100\%         & 1.16 & 100\%         & 8.89 & 100\% \\
309 > \Z mass window    & 38.5 & 91.1\%        & 1.84 & 100\%         & 1.16 & 100\%         & 7.78 & 87.5\% \\
310 > \hline
311 > Overall efficiency  &  &  20.3\% &  &  0.000032\% &  &  0.00014\% &  &  0.0054\% \\
312   \hline
313   \end{tabular}
314  
300
315   \caption{Expected number of signal and background events passing the different
316    selections steps together with the efficiency of each requirement and total efficiency of
317    selection criteria in the \WZ, \Zbbbar, \Zjets and \ttjets samples for an integrated luminosity
# Line 317 | Line 331 | Reconstruction channel  &  $e \nu$
331     &  $\tau \nu \to \mu \nu \nu $
332     &  $\tau \nu \to {\rm hadrons~} \nu$
333   \\ \hline
334 < $3e$       &  17.4 \%  &  0.0319 \%  &  6.42 \%  &  0 \%  &  0.162 \% \\
335 < $2e1\mu$   &  0 \%  &  18.6 \%  &  0 \%  &  5.53 \%  &  0.0485 \% \\
336 < $2\mu1e$   &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
337 < $3\mu$     &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
334 > $3e$       &  17.4\%  &  0.0319\%  &  6.42\%  &  0\%  &  0.162\% \\
335 > $2e1\mu$   &  0\%  &  18.6\%  &  0\%  &  5.53\%  &  0.0485\% \\
336 > $2\mu1e$   &  0\%  &  0\%  &  0\%  &  0\%  &  0\% \\
337 > $3\mu$     &  0\%  &  0\%  &  0\%  &  0\%  &  0\% \\
338   \hline \hline
339  
340   & \multicolumn{5}{c}{$\Z \to \mu\mu$ and \W decay modes below} \\
# Line 330 | Line 344 | $3\mu$     &  0 \%  &  0 \%  &  0 \%  &
344     &  $\tau\nu \to \mu\nu\nu$
345     &  $\tau\nu \to {\rm hadrons~}\nu$
346   \\ \hline
347 < $3e$        &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
348 < $2e1\mu$   &  0.0104 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
349 < $2\mu1e$   &  19.6 \%  &  0.0208 \%  &  5.56 \%  &  0 \%  &  0.18 \% \\
350 < $3\mu$     &  0 \%  &  23.4 \%  &  0.0573 \%  &  6.77 \%  &  0.0164 \% \\
347 > $3e$        &  0\%  &  0\%  &  0\%  &  0\%  &  0\% \\
348 > $2e1\mu$   &  0.0104\%  &  0\%  &  0\%  &  0\%  &  0\% \\
349 > $2\mu1e$   &  19.6\%  &  0.0208\%  &  5.56\%  &  0\%  &  0.18\% \\
350 > $3\mu$     &  0\%  &  23.4\%  &  0.0573\%  &  6.77\%  &  0.0164\% \\
351   \hline \hline
352   \end{tabular}
353   \end{center}
# Line 456 | Line 470 | $3\mu$     & matched \WZ & 0 & 91$\pm$4\
470   \end{table}
471  
472  
473 + \subsection{Complementary studies: can we use the neutrino?}
474 +
475 + In $\WZ \to  \ell^{\pm}\nu \ellell (\ell=e,\mu)$ events, the neutrino
476 + coming from the \W-boson decay leaves the detector with a significant
477 + amount of energy, which should reflect in a large transverse missing
478 + energy measurement. On the other side, no large MET is expected for
479 + the  most  important background categories, especially \Zjets,
480 + \Zbbbar, \ZZ and \Zgamma. This expectation is confirmed, as can be
481 + seen in Figure~\ref{fig:met}.
482 +
483 + Another variable sensitive to the presence of the neutrino
484 + is the W transverse mass $m_T^W$, obtained by combining the missing
485 + energy vector and the lepton associated to the \W-boson decay.
486 + The distribution of $m_T^W$ is shown in Figure~\ref{fig:mtw}.
487 + The signal yield could be extracted from that distribution.
488 + This requires however additional studies and it has not been
489 + done at this stage.
490 +
491   %\subsection{Signal extraction}
492   %\input D0Matrix
493   \input zjetbackground
# Line 468 | Line 500 | $3\mu$     & matched \WZ & 0 & 91$\pm$4\
500   \begin{figure}[bt]
501    \begin{center}
502    \scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}}
503 <  \caption{Missing transverse mass for the four signal categories.
503 >  \caption{Missing transverse energy for the four signal categories.
504      The distributions  show the number of expected events
505 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
505 >    for $1 fb^{-1}$. Only events with 81 GeV $< M_Z < $ 101 \gev
506      are shown. All selection cuts are applied.}
507    \label{fig:met}
508    \end{center}
# Line 481 | Line 513 | $3\mu$     & matched \WZ & 0 & 91$\pm$4\
513    \scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}}
514    \caption{\W transverse mass for the four signal categories.
515      The distributions  show the number of expected events
516 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.
516 >    for $1 fb^{-1}$. Only events with 81 GeV $< M_Z < $ 101 GeV are shown.
517      All selection cuts are applied.}
518    \label{fig:mtw}
519    \end{center}

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