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# Line 2 | Line 2
2   \label{sec:eventReconstruction}
3  
4   The four possible final states of \WZ
5 < production with electrons and muons are studied, $\rm e^\pm \epem$, $\mu^\pm \epem$, $\rm e^\pm \mu^+\mu^-$
5 > production with electrons and muons in the final state are studied, $\rm e^\pm \epem$, $\mu^\pm \epem$, $\rm e^\pm \mu^+\mu^-$
6   and $\mu^\pm \mu^+\mu^-$. They are associated to four possible classes,
7   denoted as follows:
8   \begin{itemize}
# Line 16 | Line 16 | denoted as follows:
16   \subsection{Trigger selection and efficiencies}
17  
18   Events stemming from the three-lepton final states of $\WZ$ production
19 < are collected by the electron and muon triggers. For each channel,
19 > are collected by the electron and/or muon triggers. For each channel,
20   a minimun number of HLT requirements is chosen while keeping
21   the HLT efficiency for selected events close to 100\%. The same
22   HLT requirements are used for channels with the same Z decay mode:
# Line 57 | Line 57 | combining measurements in the muon chamb
57   An additional isolation criterion requires that the energy
58   measured in the calorimeters within a $\Delta R = 0.3$ cone around the
59   muon must be smaller than 3 GeV and the sum of the $p_t$ of tracks
60 < within a $\Delta R = 0.25$ cone around the muon must be smaller than 2
61 < GeV. These cuts reduce the background from muons originated in
60 > within a $\Delta R = 0.25$ cone around the muon must be smaller than 2 \gev.
61 > These cuts reduce the background from muons originated in
62   \b-quark decays of the $\Zbbbar$ background, which are close to tracks
63   and clusters from the other \b-quark decay products.
64  
# Line 78 | Line 78 | comes from fake electrons and not from h
78  
79  
80  
81 + \begin{table}[tbp]
82 + \begin{tabular}{|l|c|c|c|c|} \hline
83 +              &  $3e$ & $2e1\mu$ & $2\mu 1e$ & $3\mu$ \\ \hline \hline
84 + \multicolumn{5}{|c|}{Lepton selection} \\ \hline
85 + Electrons     &   \multicolumn{3}{|c|}{{\tt SimpleLoose} requirements for Z reconstruction} & \\
86 +              &   \multicolumn{3}{|c|}{{\tt SimpleTight} requirements for W} &  \\ \hline
87 + Muons         &  &  \multicolumn{3}{|c|}{ Track Isolation:$ {\tt IsoTrack}(\Delta R= 0.25) < 2 \gev$}  \\
88 +              &  &  \multicolumn{3}{|c|}{ Calorimetric Isolation:$  {\tt IsoCalo}(\Delta R = 0.3)  < 5 \gev$}  \\
89 +              &  &  \multicolumn{3}{|c|}{$S_{IP}=IP/\sigma_{IP}<3$ }  \\ \hline
90 + HLT requirement & \multicolumn{2}{|c|}{ HLTSingleElectron or HLTDoubleElectronRelaxed}
91 +                & \multicolumn{2}{|c|}{  HLTSingleMuonIso} \\ \hline
92 + \multicolumn{5}{|c|}{Z reconstruction} \\ \hline
93 + Lepton cuts   &  \multicolumn{4}{|c|}{for both Z leptons: $p_t > 15 GeV$} \\
94 + Mass window   &  \multicolumn{4}{|c|}{$50 \gev < M_Z < 120 \gev $ } \\
95 + Second Z veto &  \multicolumn{4}{|c|}{No independent second Z candidate with $50 \gev < M_Z < 120 \gev $ } \\ \hline
96 + \multicolumn{5}{|c|}{W lepton selection} \\ \hline
97 +
98 + Other cuts    &     &        & $\Delta R(\mu_Z,e_W)>0.1$ &  \\ \hline
99 + Signal region  &    \multicolumn{4}{|c|}{$81 \gev < M_Z < 101 \gev $ } \\ \hline \hline
100 +
101 + \end{tabular}
102 + \caption{Summary of all cuts used in the WZ selection}
103 + \label{tab:allcuts}
104 + \end{table}
105 +
106 +
107 + \begin{figure}[p]
108 +  \begin{center}
109 +  \scalebox{0.6}{\includegraphics{figs/wlpt_cuteff.eps}}
110 +  \caption{Efficiency for signal and background as a function
111 +    of the cut value on the \W-boson lepton transverse momentum.
112 +    All other cuts but the cut on this variable are applied.
113 +    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
114 +    are considered.}
115 +  \label{fig:wlpt_cuteff}
116 +  \end{center}
117 + %\end{figure}
118 +
119 + %\begin{figure}[bt]
120 +  \begin{center}
121 +  \scalebox{0.6}{\includegraphics{figs/wlpt_cutS.eps}}
122 +  \caption{Signal significance as a function of the cut value on
123 +    the \W-boson lepton transverse momentum. All other cuts but
124 +    the cut on this variable are applied. Only events with
125 +    81.1 GeV $< M_Z < $ 101.1 \gev are considered.}
126 +  \label{fig:wlpt_cutS}
127 +  \end{center}
128 + \end{figure}
129 +
130 +
131   \subsection{\WZ candidate selection}
132  
133   Events are accepted if they contain at least three charged leptons,
# Line 111 | Line 161 | the highest $p_t$ is chosen as the one f
161   the additional leptons are not considered further.
162   The transverse momentum of this lepton is required to be larger
163   than 20 GeV. This last requirement is effective in rejecting
164 < the \Zbbbar and \Zjets backgrounds, and the cut value is chosen in
164 > the \Zbbbar and \Zjets backgrounds, see Figure~\ref{fig:wlpt_cuteff},
165 > and the cut value is chosen in
166   the range that maximises the significance as shown in
167 < Figure~\ref{fig:s_vs_wlpt}.
167 > Figure~\ref{fig:wlpt_cutS}.
168 >
169 > An additional requirement on the isolation between electron and muons is applied
170 > for the $2\mu 1e$ channel, by demanding $\Delta R$ between the electron associated
171 > to the \W-decay and any of the two muons associated to the \Z-decay be greater than
172 > 0.1. This requirement allows to suppress the contributions of $\Z \to \mu\mu$
173 > decays, where one of the two muons radiates a photon which is reconstructed
174 > as electrons, possibly after conversion, which shows up as a peak at  around 60 GeV
175 > in the Z mass distribution, as shown in figure~\ref{fig:Z2mu1e_60GeVPeak}.
176 >
177 > The summary of the selection can be seen in Table~\ref{tab:allcuts}.
178  
179   The expected number of events passing the various steps of the selection
180   is listed in Tables~\ref{tab:sel-effA} and~\ref{tab:sel-effB}.
# Line 209 | Line 270 | Z mass window    & 45.1576 (8.27062 \%)
270  
271   \subsection{Signal extraction}
272  
273 + \input D0Matrix
274 + \input zjetbackground
275 +
276  
277   \subsection{Systematic uncertainties}
278 + \input Sys
279  
280  
281 + \begin{figure}[bt]
282 +  \begin{center}
283 +  \scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}}
284 +  \caption{Missing transverse mass for the four signal categories.
285 +    The distributions  show the number of expected events
286 +    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
287 +    are shown. All selection cuts are applied.}
288 +  \label{fig:met}
289 +  \end{center}
290 + \end{figure}
291  
292   \begin{figure}[bt]
293    \begin{center}
294    \scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}}
295    \caption{W transverse mass for the four signal categories.
296      The distributions  show the number of expected events
297 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.}
297 >    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.
298 >    All selection cuts are applied.}
299    \label{fig:mtw}
300    \end{center}
301   \end{figure}
302 +
303 +
304 +
305 +
306 + \begin{table}[tbp]
307 + \begin{center}
308 + \begin{tabular}{lccccc}
309 + \hline \hline
310 + & \multicolumn{5}{c}{$Z \to ee $} \\
311 +   &  $W \to e$
312 +   &  $W \to \mu$
313 +   &  $W \to \tau \to e$
314 +   &  $W \to \tau \to \mu$
315 +   &  $W \to \tau \to hadrons$
316 + \\ \hline
317 + $3e$       &  17.4 \%  &  0.0319 \%  &  6.42 \%  &  0 \%  &  0.162 \% \\
318 + $2e1\mu$   &  0 \%  &  18.6 \%  &  0 \%  &  5.53 \%  &  0.0485 \% \\
319 + $2\mu1e$   &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
320 + $3\mu$     &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
321 + \hline \hline
322 + & \multicolumn{5}{c}{$Z \to \mu\mu $} \\
323 +   &  $W \to e$
324 +   &  $W \to \mu$
325 +   &  $W \to \tau \to e$
326 +   &  $W \to \tau \to \mu$
327 +   &  $W \to \tau \to hadrons$
328 + \\ \hline
329 + $3e$        &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
330 + $2e1\mu$   &  0.0104 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
331 + $2\mu1e$   &  19.6 \%  &  0.0208 \%  &  5.56 \%  &  0 \%  &  0.18 \% \\
332 + $3\mu$     &  0 \%  &  23.4 \%  &  0.0573 \%  &  6.77 \%  &  0.0164 \% \\
333 + \hline \hline
334 + \end{tabular}
335 + \end{center}
336 + \caption{Selection efficiency for signal events in the four selection channels for the different
337 +  generated \W and \Z decay channels.}
338 + \label{tab:wz-effimatrix}
339 + \end{table}
340 +
341 +
342 + \begin{table}[tbp]
343 + \begin{center}
344 + \begin{tabular}{llcc} \hline
345 +  & & \multicolumn{2}{c}{Generated decay:} \\
346 +  & & \multicolumn{2}{c}{$Z \to ee $} \\
347 + Selection channel  &    &  $W \to e$   &  $W \to \mu$ \\ \hline
348 + \hline \hline
349 + \multicolumn{4}{c}{all} \\ \hline
350 + $3e$        & all & 1644         & 3    \\
351 + $3e$        & matched Z & 0.937+/-0.00598 & 1+/-0\\
352 + $3e$        & matched W & 0.915+/-0.00688 & 0+/--1\\
353 + $3e$        & matched WZ & 0.914+/-0.00691 & 0+/--1\\
354 + \hline \hline
355 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
356 + $3e$        & all & 1602         & 0    \\
357 + $3e$        & matched Z & 0.938+/-0.00604 & -1+/--1\\
358 + $3e$        & matched W & 0.915+/-0.00696 & -1+/--1\\
359 + $3e$        & matched WZ & 0.914+/-0.00699 & -1+/--1\\
360 + \hline \hline
361 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
362 + $3e$        & all & 42   & 3    \\
363 + $3e$        & matched Z & 0.929+/-0.0397 & 1+/-0\\
364 + $3e$        & matched W & 0.905+/-0.0453 & 0+/--1\\
365 + $3e$        & matched WZ & 0.905+/-0.0453 & 0+/--1\\
366 + \hline \hline
367 + \multicolumn{4}{c}{all} \\ \hline
368 + $2e1\mu$   & all & 0     & 1746 \\
369 + $2e1\mu$   & matched Z & -1+/--1 & 0.999+/-0.000573\\
370 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
371 + $2e1\mu$   & matched WZ & -1+/--1 & 0.999+/-0.000573\\
372 + \hline \hline
373 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
374 + $2e1\mu$   & all & 0     & 1715 \\
375 + $2e1\mu$   & matched Z & -1+/--1 & 0.999+/-0.000583\\
376 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
377 + $2e1\mu$   & matched WZ & -1+/--1 & 0.999+/-0.000583\\
378 + \hline \hline
379 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
380 + $2e1\mu$   & all & 0     & 31   \\
381 + $2e1\mu$   & matched Z & -1+/--1 & 1+/-0\\
382 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
383 + $2e1\mu$   & matched WZ & -1+/--1 & 1+/-0\\ \hline \hline
384 + \end{tabular}
385 + \end{center}
386 + \caption{Fractions of events with correctly matched leptons
387 +  to true decay product of \W and \Z decays for final states
388 +  with generated $\Z\to ee$ decays}
389 + \label{tab:wz-matcheffi-Zee}
390 + \end{table}
391 +
392 +
393 +
394 + \begin{table}[tbp]
395 + \begin{center}
396 + \begin{tabular}{llcc} \hline
397 +  & & \multicolumn{2}{c}{Generated decay:} \\
398 + & & \multicolumn{2}{c}{$Z \to \mu\mu $} \\
399 + Selection channel  &    &  $W \to e$   &  $W \to \mu$
400 + \\ \hline
401 + \hline \hline
402 + \multicolumn{4}{c}{all} \\ \hline
403 + $2\mu1e$   & all & 1895  & 2    \\
404 + $2\mu1e$   & matched Z & 1+/-0 & 1+/-0\\
405 + $2\mu1e$   & matched W & 0.985+/-0.00282 & 0+/--1\\
406 + $2\mu1e$   & matched WZ & 0.985+/-0.00282 & 0+/--1\\
407 + \hline \hline
408 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
409 + $2\mu1e$   & all & 1847  & 0    \\
410 + $2\mu1e$   & matched Z & 1+/-0 & -1+/--1\\
411 + $2\mu1e$   & matched W & 0.986+/-0.00274 & -1+/--1\\
412 + $2\mu1e$   & matched WZ & 0.986+/-0.00274 & -1+/--1\\
413 + \hline \hline
414 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
415 + $2\mu1e$   & all & 48    & 2    \\
416 + $2\mu1e$   & matched Z & 1+/-0 & 1+/-0\\
417 + $2\mu1e$   & matched W & 0.938+/-0.0349 & 0+/--1\\
418 + $2\mu1e$   & matched WZ & 0.938+/-0.0349 & 0+/--1\\
419 + \hline \hline
420 + \multicolumn{4}{c}{all} \\ \hline
421 + $3\mu$     & all & 0     & 2251 \\
422 + $3\mu$     & matched Z & -1+/--1 & 0.943+/-0.00488\\
423 + $3\mu$     & matched W & -1+/--1 & 0.933+/-0.00526\\
424 + $3\mu$     & matched WZ & -1+/--1 & 0.933+/-0.00526\\
425 + \hline \hline
426 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
427 + $3\mu$     & all & 0     & 2207 \\
428 + $3\mu$     & matched Z & -1+/--1 & 0.944+/-0.0049\\
429 + $3\mu$     & matched W & -1+/--1 & 0.934+/-0.00529\\
430 + $3\mu$     & matched WZ & -1+/--1 & 0.934+/-0.00529\\
431 + \hline \hline
432 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
433 + $3\mu$     & all & 0     & 44   \\
434 + $3\mu$     & matched Z & -1+/--1 & 0.909+/-0.0433\\
435 + $3\mu$     & matched W & -1+/--1 & 0.909+/-0.0433\\
436 + $3\mu$     & matched WZ & -1+/--1 & 0.909+/-0.0433\\ \hline \hline
437 + \end{tabular}
438 + \end{center}
439 + \caption{Fractions of MC \WZ events with correctly matched leptons
440 +  to true decay product of \W and \Z decays for final states
441 +  with generated $\Z\to \mu\mu$ decays}
442 + \label{tab:wz-matcheffi-Zmumu}
443 + \end{table}
444 +

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