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1 + Here we define the selections of leptons, jets, and \met.
2 + We also describe our measurements of the lepton and trigger efficiency.
3 + The analysis uses several different Control Regions (CRs) in addition
4 + to the Signal
5 + Regions (SRs).
6 + All of these different regions are defined in this section.
7 + This section also includes some information on the basic MC
8 + corrections that we apply.  
9 + %Figure~\ref{fig:venndiagram} illustrates the relationship between these regions.
10  
11 + \subsection{Single Lepton Selection}
12 + \label{sec:singlelepselection}
13  
14 < The preselection sample is based on the following criteria
14 > The single lepton selection is based on the following criteria, starting from the requirements described
15 > on \url{https://twiki.cern.ch/twiki/bin/viewauth/CMS/SUSYstop#SINGLE_LEPTON_CHANNEL}
16   \begin{itemize}
17   \item satisfy the trigger requirement (see
18 <  Table.~\ref{tab:DatasetsData})
18 >  Table.~\ref{tab:DatasetsData}).
19 > Note that the analysis triggers are inclusive single lepton triggers.
20 > Dilepton triggers are used only for the dilepton control region.
21   \item select events with one high \pt\ electron or muon, requiring
22    \begin{itemize}
23 <  \item $\pt>30~\GeVc$ and $|\eta|<2.5(2.1)$ for \E(\M)
24 <  \item satisfy the identification and isolation requirements detailed
25 <    in~\cite{ref:osznote} for electrons and in~\cite{ref:osznote} for muons
23 >  \item $\pt>30~\GeVc$  and $|\eta|<1.4442 (2.4)$ for electrons (muons)
24 >  \item muon ID criteria is based on the 2012 POG recommended tight working point
25 >  \item electron ID critera is based on the 2012 POG recommended medium working point
26 >  \item PF-based isolation ($\Delta R < 0.3$, $\Delta\beta$ corrected) relative  $<$ 0.15 and absolute $<$ 5~GeV
27 >  \item $|\pt(\rm{PF}_{lep}) - \pt(\rm{RECO}_{lep})| < 10~\GeV$
28 >  \item $E/p_{in} < 4$ (electrons only)
29 >  \item We remove electron events with $\met > 50$ GeV and $M_T > 100$
30 >    GeV with at least one crystal in the supercluster with laser
31 >    correction in $>$2.\footnote{This is an ad-hoc removal based on
32 >      run-event numbers, since the
33 >      problem was found very recently and the filter was not available
34 >      when we processed the events.}
35    \end{itemize}
36    \item require at least 4 PF jets in the event with $\pt>30~\GeV$
37 <    within $|\eta|<2.5$, out of which at least 1 is b-tagged based on
38 <    the SSV medium working point [CITE].
39 <  \item require moderate $\met>50~\GeV$
37 >    within $|\eta|<2.5$ out of which at least 1 satisfies the CSV
38 >    medium working point b-tagging requirement
39 >  \item require moderate $\met>50~\GeV$  (This is pfMET).
40 > \item Isolated track veto, see Section~\ref{sec:tkveto}
41 >
42   \end{itemize}
43  
44 < A benchmark signal sample is selected by tightening the \met\ and
45 < adding an \mt\ requirement
44 > %Table~\ref{tab:preselectionyield} shows the yields in data and MC without any corrections for this preselection region.
45 >
46 > %\begin{table}[!h]
47 > %\begin{center}
48 > %\begin{tabular}{c|c}
49 > %\hline
50 > %\hline
51 > %\end{tabular}
52 > %\caption{  Raw Data and MC predictions without any corrections are shown after preselection. \label{tab:preselectionyield}}
53 > %\end{center}
54 > %\end{table}
55 >
56 > \subsection{Isolated track veto}
57 > \label{sec:tkveto}
58 >
59 > The isolated track veto is intended to remove top dilepton events.
60 > Looking for an isolated track is an effective way of identifying $W
61 > \to e$, $W \to \mu$, $W \to \tau \to \ell$, and $W \to \tau \to
62 > h^{\pm} + n\pi^{0}$.  The requirements on the track are
63 >
64   \begin{itemize}
65 < \item $\met>100~\GeV$
66 < \item $\mt>150~\GeV$
65 > \item $P_T > 10$ GeV
66 > \item Relative track isolation $< 10\%$  computed from charged PF
67 >  candidates with dZ $<$ 0.05 cm from the primary vertex.
68   \end{itemize}
69  
26 \subsection{Corrections to Jets and \met}
70  
71 < The official recommendations from the Jet/MET group are used for
72 < the data and MC samples. In particular, the jet
30 < energy corrections (JEC) are updated using the official recipe.
31 < L1FastL2L3Residual (L1FastL2L3) corrections are applied for data (MC),
32 < based on the global tags GR\_R\_42\_V23 (DESIGN42\_V17) for
33 < data (MC). In addition, these jet energy corrections are propagated to
34 < the \met\ calculation, following the official prescription for
35 < deriving the Type I corrections. It may be noted that events with
36 < anomalous corrections are excluded from the sample since these
37 < correspond to events with unphysically large \met\ and \mt\ tail
38 < signal region. An additional correction to remove
39 < the $\phi$-modulation observed in the \met\ is included, improving
40 < the agreement between the data and the MC, as shown in
41 < Figure.~\ref{fig:metphicomp}. This correction has an effect on this analysis,
42 < since the azimuthal angle enters the \mt\ distribution.
71 > \subsection{Signal Region Selection}
72 > \label{sec:SR}
73  
74 < \begin{figure}[tbh]
75 <  \begin{center}
76 <        \includegraphics[width=0.5\linewidth]{plots/mt_rho_comp.png}
77 <        \caption{ \label{fig:mtrhocomp}%\protect
48 <          Comparison of the \mt\ distribution for events with
49 <          unphysical energy corrections ($\rho <0$ or $ \rho > 40$, where $\rho$ is a
50 <          measure of the average pileup energy density) and the
51 <          nominal sample. Events with large pileup corrections
52 <          correspond to noisy events. Since this correction is applied
53 <          to the jets and propagated to the \met, these events have
54 <          anomalously large \met\ and populate the \mt\ tail. These
55 <          pathological events are excluded from the analysis sample.}
56 <  \end{center}
57 < \end{figure}
74 > The signal regions (SRs) are selected to improve the sensitivity for the
75 > single lepton requirements and cover a range of scalar top
76 > scenarios. The \mt\ and \met\ variables are used to define the signal
77 > regions and the requirements are listed in Table~\ref{tab:srdef}.
78  
79 < \begin{figure}[hb]
80 <  \begin{center}
81 <        \includegraphics[width=0.5\linewidth]{plots/metphi.pdf}%
82 <        \includegraphics[width=0.5\linewidth]{plots/metphi_phicorr.pdf}
83 <        \caption{ \label{fig:metphicomp}%\protect
84 <          The PF \met\ $\phi$ distribution (left) exhibits a
85 <          modulation. After applying a dedicated correction, the
86 <          azimuthal dependence is reduced (right).}
87 <  \end{center}
88 < \end{figure}
79 > \begin{table}[!h]
80 > \begin{center}
81 > \begin{tabular}{l|c|c}
82 > \hline
83 > Signal Region & Minimum \mt\ [GeV] & Minimum \met\ [GeV] \\
84 > \hline
85 > \hline
86 > SRA & 150 & 100 \\
87 > SRB & 120 & 150 \\
88 > SRC & 120 & 200 \\
89 > SRD & 120 & 250 \\
90 > SRE & 120 & 300 \\
91 > SRF & 120 & 350 \\
92 > SRG & 120 & 400 \\
93 > \hline
94 > \end{tabular}
95 > \caption{ Signal region definitions based on \mt\ and \met\
96 >  requirements. These requirements are applied in addition to the
97 >  baseline single lepton selection.
98 > \label{tab:srdef}}
99 > \end{center}
100 > \end{table}
101  
102 < \subsection{Branching Fraction Correction}
102 > Table~\ref{tab:srrawmcyields} shows the expected number of SM
103 > background yields for the SRs. A few stop signal yields for four
104 > values of the parameters are also shown for comparison. The signal
105 > regions with looser requirements are sensitive to lower stop masses
106 > M(\sctop), while those with tighter requirements are more sensitive to
107 > higher M(\sctop).
108 >
109 > \begin{table}[!h]
110 > \begin{center}
111 > \begin{tabular}{l||c|c|c|c|c|c|c}
112 > \hline
113 > Sample              & SRA & SRB & SRC & SRD & SRE & SRF & SRG\\
114 > \hline
115 > \hline
116 > \ttdl\           & $619 \pm 9$& $366 \pm 7$& $127 \pm 4$& $44 \pm 2$& $17 \pm 1$& $7 \pm 1$& $4 \pm 1$ \\
117 > \ttsl\ \& single top (1\Lep)             & $95 \pm 3$& $67 \pm 3$& $15 \pm 1$& $6 \pm 1$& $2 \pm 1$& $1 \pm 1$& $1 \pm 0$ \\
118 > \wjets\                  & $29 \pm 2$& $15 \pm 2$& $6 \pm 1$& $3 \pm 1$& $1 \pm 0$& $0 \pm 0$& $0 \pm 0$ \\
119 > Rare             & $59 \pm 3$& $38 \pm 3$& $16 \pm 2$& $8 \pm 1$& $4 \pm 1$& $2 \pm 0$& $1 \pm 0$ \\
120 > \hline
121 > Total            & $802 \pm 10$& $486 \pm 8$& $164 \pm 5$& $62 \pm 3$& $23 \pm 2$& $10 \pm 1$& $6 \pm 1$ \\
122 > \hline
123 > \end{tabular}
124 > \caption{ Expected SM background contributions, including both muon
125 >  and electron channels. This is ``dead reckoning'' MC with no
126 >  correction.
127 > It is meant only as a general guide. The uncertainties are statistical only. ADD
128 >  SIGNAL POINTS.
129 > \label{tab:srrawmcyields}}
130 > \end{center}
131 > \end{table}
132 >
133 > \subsection{Control Region Selection}
134 > \label{sec:CR}
135 >
136 > Control regions (CRs) are used to validate the background estimation
137 > procedure and derive systematic uncertainties for some
138 > contributions. The CRs are selected to have similar
139 > kinematics to the SRs, but have a different requirement in terms of
140 > number of b-tags and number of leptons, thus enhancing them in
141 > different SM contributions. The four CRs used in this analysis are
142 > summarized in Table~\ref{tab:crdef}.  
143 >
144 > \begin{table}
145 > \begin{center}
146 > {\small
147 > \begin{tabular}{l|c|c|c}
148 > \hline
149 > Selection       & \multirow{2}{*}{exactly 1 lepton}     & \multirow{2}{*}{exactly 2
150 >        leptons}                & \multirow{2}{*}{1 lepton + isolated
151 >        track}\\
152 >      Criteria & & & \\
153 > \hline
154 > \hline
155 > \multirow{4}{*}{0 b-tags}        
156 > &        CR1) W+Jets dominated:
157 > &        CR2) apply \Z-mass constraint                  
158 > &        CR3) not used \\  
159 > &        
160 > &       $\rightarrow$ Z+Jets dominated: Validate
161 > &      \\
162 > &      Validate W+Jets \mt\ tail
163 > &        \ttsl\ \mt\ tail comparing
164 > &        \\  
165 > &
166 > &        data vs. MC ``pseudo-\mt ''
167 > &        \\  
168 > \hline
169 > \multirow{4}{*}{$\ge$ 1 b-tags}          
170 > &      
171 > &       CR4) Apply \Z-mass veto
172 > &      CR5) \ttdl, \ttlt\ and \\
173 > &     SIGNAL
174 > &      $\rightarrow$ \ttdl\ dominated: Validate
175 > &       \ttlf\ dominated:  Validate \\
176 > &     REGION
177 > &      ``physics'' modelling of \ttdl\    
178 > &      \Tau\  and fake lepton modeling/\\
179 > &
180 > &
181 > &      detector effects in \ttdl\     \\
182 > \hline
183 > \end{tabular}
184 > }
185 > \caption{Summary of signal and control regions.
186 >  \label{tab:crdef}%\protect
187 > }
188 > \end{center}
189 > \end{table}
190 >
191 > \subsection{Definition of $M_T$ peak region}
192 > \label{sec:mtpeakdef}
193 >
194 > This region is defined as $50 < M_T < 80$ GeV.
195 >
196 >
197 > \subsection{Default \ttbar\  MC sample}
198 >
199 > Our default \ttbar\ MC sample is Powheg.
200 >
201 > \subsection{MC Corrections}
202 > \label{sec:MCCorr}
203 >
204 > All MC samples are corrected for trigger efficiency.  In the case of
205 > single lepton selections, we apply the $P_T$ and $\eta$-dependent
206 > scale factors that we measure ourselves, see Sections~\ref{sec:trg}.
207 > In the case of dilepton selections that require the dilepton triggers,
208 > we apply overall scale factors of 0.95, 0.88, and 0.92 for $ee$,
209 > $\mu\mu$,
210 > and $e\mu$ respectively~\cite{didar}.
211  
212   The leptonic branching fraction used in some of the \ttbar\ MC samples
213 < differs from the value listed in the PDG $(10.80 ± 0.09)\%$.
213 > differs from the value listed in the PDG $(10.80 \pm 0.09)\%$.
214   Table.~\ref{tab:wlepbf} summarizes the branching fractions used in
215   the generation of the various \ttbar\ MC samples.
216   For \ttbar\ samples with the incorrect leptonic branching fraction, event
# Line 97 | Line 237 | Powheg       &       0.108\\
237   \end{center}
238   \end{table}
239  
240 + All \ttbar\ dilepton samples are corrected (when needed and
241 + appropriate)
242 + in order to have the correct number of jet distribution.  This
243 + correction procedure is described in Section~\ref{sec:jetmultiplicity}.
244 +
245 +
246 + \subsubsection{Corrections to Jets and \met}
247 + \label{sec:JetMet}
248 +
249 + The official recommendations from the Jet/MET group are used for
250 + the data and MC samples. In particular, the jet
251 + energy corrections (JEC) are updated using the official recipe.
252 + L1FastL2L3Residual (L1FastL2L3) corrections are applied for data (MC),
253 + based on the global tags GR\_R\_52\_V9 (START52\_V9B) for
254 + data (MC). In addition, these jet energy corrections are propagated to
255 + the \met\ calculation, following the official prescription for
256 + deriving the Type I corrections.
257 +
258 + Events with anomalous ``rho'' pile-up corrections are excluded from the sample since these
259 + correspond to events with unphysically large \met\ and \mt\ tail
260 + signal region. In addition, the recommended MET filters are applied.
261 + A correction to remove the $\phi$ modulation in \met\ is also applied
262 + to the data.
263 +
264 +
265 + \subsection{Lepton Selection Efficiency Measurements}
266 + \label{sec:lepEff}
267 +
268 + In this section we measure the identification and isolation efficiencies for muons and electrons in data and MC using tag-and-probe studies.
269 + The tag is required to pass the full offline analysis selection and have \pt\ $>$ 30 GeV, $|\eta|<2.1$, and be matched to the single
270 + lepton trigger, HLT\_IsoMu24(\_eta2p1) for muons and HLT\_Ele27\_WP80 for electrons.
271 + The probe is required to have $|\eta|<2.1$ and \pt\ $>$ 20 GeV. To measure the identification efficiency we require the probe to pass the isolation requirement,
272 + to measure the isolation efficiency we require the probe to pass the
273 + identification requirement.
274 +
275 + The tag-probe pair is required to have opposite-sign and an invariant mass in the range 76--106 GeV.
276 + In order to suppress lepton pairs from sources other than Z boson
277 + decays, we require the event to have \met\ $<$ 30 GeV and no b-tagged
278 + jets (CSV loose working point).
279 +
280 + The muon efficiencies are summarized in Table~\ref{tab:mutnpeff} for inclusive events (i.e. no jet requirements). These efficiencies are displayed in Fig.~\ref{fig:mutnpeff} for
281 + several different jet multiplicity requirements. We currently observe good agreement for muons with \pt\ up to about 200 GeV. For muons with \pt\ $>$ 200 GeV the data efficiency
282 + begins to drop, and the effect is especially pronounced for muons with \pt\ $>$ 300 GeV. We are currently investigating the source of this inefficiency.
283 + The electron efficiencies are summarized in Table~\ref{tab:eltnpeff} for inclusive events (i.e. no jet requirements). These efficiencies are displayed in Fig.~\ref{fig:eltnpeff} for several different jet multiplicity requirements. In general we observe good agreement between the data and MC identification and isolation efficiencies.
284 +
285 + Pending a better understanding of the very high \pt\ muon efficiency,  we
286 + do not correct the MC for differences in lepton efficiency.  In the
287 + background calculation, we do not take any systematics due to lepton
288 + selection
289 + efficiency uncertainties.  This is because all backgrounds except the
290 + rare MC background are normalized to the $M_TT$ peak, thus the lepton
291 + identification uncertainty cancels out.  For the rare MC these
292 + uncertainties
293 + are negligible compared to the assumed cross-section uncertainty
294 + (Section~\ref{sec:bkg_other}).
295 +
296 +
297 +
298 +
299 + \begin{table}[htb]
300 + \begin{center}
301 + \scriptsize
302 + \caption{\label{tab:mutnpeff}
303 + Summary of the data and MC muon identification and isolation efficiencies measured with tag-and-probe studies.}
304 + \begin{tabular}{c|c|c|c}
305 +
306 + %Selection  : ((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&2)==2))&&(HLT_IsoMu24_tag > 0))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(abs(probe->eta())<2.1))&&(met<30))&&(nbl==0)
307 + %Ndata      : 4751710
308 + %NMC        : 4127153
309 +
310 + \hline
311 + \hline
312 + MC ID & & & \\
313 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
314 + \hline
315 +    20 -   30  &        0.9638 $\pm$ 0.0005 &   0.9590 $\pm$ 0.0006 &   0.9381 $\pm$ 0.0008 \\
316 +    30 -   40  &        0.9649 $\pm$ 0.0002 &   0.9612 $\pm$ 0.0003 &   0.9372 $\pm$ 0.0005 \\
317 +    40 -   50  &        0.9674 $\pm$ 0.0002 &   0.9651 $\pm$ 0.0002 &   0.9368 $\pm$ 0.0004 \\
318 +    50 -   60  &        0.9644 $\pm$ 0.0005 &   0.9589 $\pm$ 0.0006 &   0.9325 $\pm$ 0.0009 \\
319 +    60 -   80  &        0.9644 $\pm$ 0.0009 &   0.9586 $\pm$ 0.0011 &   0.9258 $\pm$ 0.0019 \\
320 +    80 -  100  &        0.9674 $\pm$ 0.0022 &   0.9602 $\pm$ 0.0029 &   0.9148 $\pm$ 0.0053 \\
321 +   100 -  150  &        0.9632 $\pm$ 0.0031 &   0.9621 $\pm$ 0.0037 &   0.9270 $\pm$ 0.0068 \\
322 +   150 -  200  &        0.9615 $\pm$ 0.0070 &   0.9519 $\pm$ 0.0092 &   0.8844 $\pm$ 0.0213 \\
323 +   200 -  300  &        0.9615 $\pm$ 0.0119 &   0.9353 $\pm$ 0.0173 &   0.8923 $\pm$ 0.0384 \\
324 +   300 - 10000  &       0.9667 $\pm$ 0.0232 &   0.9697 $\pm$ 0.0298 &   0.4000 $\pm$ 0.1549 \\
325 + \hline
326 + \hline
327 + MC ISO  & & & \\
328 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
329 + \hline
330 +    20 -   30  &        0.8968 $\pm$ 0.0007 &   0.9156 $\pm$ 0.0008 &   0.9301 $\pm$ 0.0009 \\
331 +    30 -   40  &        0.9610 $\pm$ 0.0002 &   0.9633 $\pm$ 0.0003 &   0.9706 $\pm$ 0.0003 \\
332 +    40 -   50  &        0.9877 $\pm$ 0.0001 &   0.9897 $\pm$ 0.0001 &   0.9912 $\pm$ 0.0002 \\
333 +    50 -   60  &        0.9918 $\pm$ 0.0002 &   0.9928 $\pm$ 0.0002 &   0.9939 $\pm$ 0.0003 \\
334 +    60 -   80  &        0.9926 $\pm$ 0.0004 &   0.9936 $\pm$ 0.0004 &   0.9948 $\pm$ 0.0005 \\
335 +    80 -  100  &        0.9918 $\pm$ 0.0012 &   0.9923 $\pm$ 0.0013 &   0.9933 $\pm$ 0.0016 \\
336 +   100 -  150  &        0.9900 $\pm$ 0.0016 &   0.9939 $\pm$ 0.0015 &   0.9927 $\pm$ 0.0023 \\
337 +   150 -  200  &        0.9904 $\pm$ 0.0036 &   0.9904 $\pm$ 0.0043 &   0.9950 $\pm$ 0.0050 \\
338 +   200 -  300  &        0.9921 $\pm$ 0.0056 &   1.0000 $\pm$ 0.0000 &   0.9831 $\pm$ 0.0168 \\
339 +   300 - 10000  &       1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 \\
340 + \hline
341 + \hline
342 + DATA ID & & & \\
343 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
344 + \hline
345 +    20 -   30  &        0.9446 $\pm$ 0.0005 &   0.9430 $\pm$ 0.0006 &   0.9203 $\pm$ 0.0008 \\
346 +    30 -   40  &        0.9474 $\pm$ 0.0003 &   0.9448 $\pm$ 0.0003 &   0.9237 $\pm$ 0.0005 \\
347 +    40 -   50  &        0.9515 $\pm$ 0.0002 &   0.9502 $\pm$ 0.0003 &   0.9252 $\pm$ 0.0004 \\
348 +    50 -   60  &        0.9458 $\pm$ 0.0005 &   0.9405 $\pm$ 0.0006 &   0.9163 $\pm$ 0.0010 \\
349 +    60 -   80  &        0.9457 $\pm$ 0.0010 &   0.9386 $\pm$ 0.0013 &   0.9115 $\pm$ 0.0020 \\
350 +    80 -  100  &        0.9393 $\pm$ 0.0029 &   0.9346 $\pm$ 0.0035 &   0.9091 $\pm$ 0.0055 \\
351 +   100 -  150  &        0.9355 $\pm$ 0.0040 &   0.9392 $\pm$ 0.0045 &   0.8843 $\pm$ 0.0085 \\
352 +   150 -  200  &        0.9526 $\pm$ 0.0078 &   0.9534 $\pm$ 0.0099 &   0.8772 $\pm$ 0.0217 \\
353 +   200 -  300  &        0.9017 $\pm$ 0.0195 &   0.9302 $\pm$ 0.0194 &   0.8448 $\pm$ 0.0475 \\
354 +   300 - 10000  &       0.7083 $\pm$ 0.0656 &   0.7333 $\pm$ 0.1142 &   0.2000 $\pm$ 0.1033 \\
355 + \hline
356 + \hline
357 + DATA ISO  & & & \\
358 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
359 + \hline
360 +    20 -   30  &        0.8943 $\pm$ 0.0007 &   0.9144 $\pm$ 0.0008 &   0.9359 $\pm$ 0.0008 \\
361 +    30 -   40  &        0.9598 $\pm$ 0.0002 &   0.9646 $\pm$ 0.0003 &   0.9746 $\pm$ 0.0003 \\
362 +    40 -   50  &        0.9870 $\pm$ 0.0001 &   0.9903 $\pm$ 0.0001 &   0.9920 $\pm$ 0.0001 \\
363 +    50 -   60  &        0.9913 $\pm$ 0.0002 &   0.9935 $\pm$ 0.0002 &   0.9952 $\pm$ 0.0003 \\
364 +    60 -   80  &        0.9921 $\pm$ 0.0004 &   0.9931 $\pm$ 0.0004 &   0.9952 $\pm$ 0.0005 \\
365 +    80 -  100  &        0.9920 $\pm$ 0.0011 &   0.9938 $\pm$ 0.0011 &   0.9943 $\pm$ 0.0015 \\
366 +   100 -  150  &        0.9900 $\pm$ 0.0017 &   0.9943 $\pm$ 0.0015 &   0.9968 $\pm$ 0.0016 \\
367 +   150 -  200  &        0.9972 $\pm$ 0.0020 &   0.9977 $\pm$ 0.0023 &   0.9950 $\pm$ 0.0050 \\
368 +   200 -  300  &        1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 \\
369 +   300 - 10000  &       1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 \\
370 + \hline
371 + \hline
372 + Scale Factor ID  & & & \\
373 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
374 + \hline
375 +    20 -   30  &        0.9801 $\pm$ 0.0007 &   0.9833 $\pm$ 0.0009 &   0.9810 $\pm$ 0.0012 \\
376 +    30 -   40  &        0.9819 $\pm$ 0.0004 &   0.9829 $\pm$ 0.0005 &   0.9856 $\pm$ 0.0007 \\
377 +    40 -   50  &        0.9836 $\pm$ 0.0003 &   0.9845 $\pm$ 0.0004 &   0.9875 $\pm$ 0.0006 \\
378 +    50 -   60  &        0.9808 $\pm$ 0.0007 &   0.9808 $\pm$ 0.0009 &   0.9826 $\pm$ 0.0014 \\
379 +    60 -   80  &        0.9806 $\pm$ 0.0014 &   0.9791 $\pm$ 0.0017 &   0.9846 $\pm$ 0.0029 \\
380 +    80 -  100  &        0.9709 $\pm$ 0.0037 &   0.9733 $\pm$ 0.0047 &   0.9937 $\pm$ 0.0084 \\
381 +   100 -  150  &        0.9713 $\pm$ 0.0052 &   0.9762 $\pm$ 0.0060 &   0.9539 $\pm$ 0.0115 \\
382 +   150 -  200  &        0.9907 $\pm$ 0.0109 &   1.0017 $\pm$ 0.0142 &   0.9918 $\pm$ 0.0343 \\
383 +   200 -  300  &        0.9378 $\pm$ 0.0233 &   0.9946 $\pm$ 0.0278 &   0.9468 $\pm$ 0.0671 \\
384 +   300 - 10000  &       0.7328 $\pm$ 0.0701 &   0.7562 $\pm$ 0.1200 &   0.5000 $\pm$ 0.3227 \\
385 + \hline
386 + \hline
387 + Scale Factor ISO & & & \\
388 + \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
389 + \hline
390 +    20 -   30  &        0.9971 $\pm$ 0.0011 &   0.9987 $\pm$ 0.0012 &   1.0062 $\pm$ 0.0012 \\
391 +    30 -   40  &        0.9987 $\pm$ 0.0003 &   1.0014 $\pm$ 0.0004 &   1.0042 $\pm$ 0.0004 \\
392 +    40 -   50  &        0.9994 $\pm$ 0.0002 &   1.0006 $\pm$ 0.0002 &   1.0008 $\pm$ 0.0002 \\
393 +    50 -   60  &        0.9995 $\pm$ 0.0003 &   1.0007 $\pm$ 0.0003 &   1.0014 $\pm$ 0.0004 \\
394 +    60 -   80  &        0.9995 $\pm$ 0.0006 &   0.9994 $\pm$ 0.0006 &   1.0005 $\pm$ 0.0007 \\
395 +    80 -  100  &        1.0002 $\pm$ 0.0016 &   1.0015 $\pm$ 0.0017 &   1.0010 $\pm$ 0.0022 \\
396 +   100 -  150  &        1.0000 $\pm$ 0.0024 &   1.0005 $\pm$ 0.0021 &   1.0041 $\pm$ 0.0028 \\
397 +   150 -  200  &        1.0068 $\pm$ 0.0042 &   1.0074 $\pm$ 0.0049 &   1.0000 $\pm$ 0.0071 \\
398 +   200 -  300  &        1.0080 $\pm$ 0.0057 &   1.0000 $\pm$ 0.0000 &   1.0172 $\pm$ 0.0174 \\
399 +   300 - 10000  &       1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 \\
400 + \hline
401 + \hline
402 +
403 +
404 + \end{tabular}
405 + \end{center}
406 + \end{table}
407 +
408 + \begin{figure}[hbt]
409 +  \begin{center}
410 +        \includegraphics[width=0.3\linewidth]{plots/mu_id_njets0.pdf}%
411 +        \includegraphics[width=0.3\linewidth]{plots/mu_iso_njets0.pdf}
412 +        \includegraphics[width=0.3\linewidth]{plots/mu_id_njets1.pdf}%
413 +        \includegraphics[width=0.3\linewidth]{plots/mu_iso_njets1.pdf}
414 +        \includegraphics[width=0.3\linewidth]{plots/mu_id_njets2.pdf}%
415 +        \includegraphics[width=0.3\linewidth]{plots/mu_iso_njets2.pdf}
416 +        \includegraphics[width=0.3\linewidth]{plots/mu_id_njets3.pdf}%
417 +        \includegraphics[width=0.3\linewidth]{plots/mu_iso_njets3.pdf}
418 +        \includegraphics[width=0.3\linewidth]{plots/mu_id_njets4.pdf}%
419 +        \includegraphics[width=0.3\linewidth]{plots/mu_iso_njets4.pdf}
420 +        \caption{
421 +          \label{fig:mutnpeff} Comparison of the muon identification and isolation efficiencies in data and MC for various jet multiplicity requirements. }  
422 +      \end{center}
423 + \end{figure}
424 +
425 + \clearpage
426 +
427 + \begin{table}[htb]
428 + \begin{center}
429 + \scriptsize
430 + \caption{\label{tab:eltnpeff}
431 + Summary of the data and MC electron identification and isolation efficiencies measured with tag-and-probe studies.}
432 + \begin{tabular}{c|c|c}
433 +
434 + %Selection  : ((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(abs(probe->eta())<2.1))&&(met<30))&&(nbl==0))&&((eventSelection&1)==1))&&(HLT_Ele27_WP80_tag > 0)
435 + %Ndata      : 3577620
436 + %NMC        : 3240624
437 + %ID cut     : (leptonSelection&8)==8
438 + %iso cut    : (leptonSelection&16)==16
439 +
440 + \hline
441 + \hline
442 + MC ID & & \\
443 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
444 + \hline
445 +    20 -   30  &        0.8156 $\pm$ 0.0008 &   0.6565 $\pm$ 0.0019 \\
446 +    30 -   40  &        0.8670 $\pm$ 0.0004 &   0.7450 $\pm$ 0.0010 \\
447 +    40 -   50  &        0.8922 $\pm$ 0.0003 &   0.7847 $\pm$ 0.0008 \\
448 +    50 -   60  &        0.9023 $\pm$ 0.0006 &   0.7956 $\pm$ 0.0018 \\
449 +    60 -   80  &        0.9097 $\pm$ 0.0011 &   0.8166 $\pm$ 0.0034 \\
450 +    80 -  100  &        0.9203 $\pm$ 0.0028 &   0.8196 $\pm$ 0.0090 \\
451 +   100 -  150  &        0.9162 $\pm$ 0.0037 &   0.8378 $\pm$ 0.0117 \\
452 +   150 -  200  &        0.9106 $\pm$ 0.0087 &   0.8111 $\pm$ 0.0292 \\
453 +   200 -  300  &        0.9304 $\pm$ 0.0119 &   0.9153 $\pm$ 0.0363 \\
454 +   300 - 10000  &       0.8684 $\pm$ 0.0388 &   0.8000 $\pm$ 0.1789 \\
455 + \hline
456 + \hline
457 + MC ISO  & & \\
458 +
459 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
460 + \hline
461 +    20 -   30  &        0.9245 $\pm$ 0.0006 &   0.9466 $\pm$ 0.0011 \\
462 +    30 -   40  &        0.9682 $\pm$ 0.0002 &   0.9741 $\pm$ 0.0004 \\
463 +    40 -   50  &        0.9876 $\pm$ 0.0001 &   0.9883 $\pm$ 0.0002 \\
464 +    50 -   60  &        0.9909 $\pm$ 0.0002 &   0.9912 $\pm$ 0.0005 \\
465 +    60 -   80  &        0.9916 $\pm$ 0.0004 &   0.9930 $\pm$ 0.0008 \\
466 +    80 -  100  &        0.9915 $\pm$ 0.0010 &   0.9908 $\pm$ 0.0025 \\
467 +   100 -  150  &        0.9929 $\pm$ 0.0012 &   0.9894 $\pm$ 0.0035 \\
468 +   150 -  200  &        0.9919 $\pm$ 0.0029 &   0.9932 $\pm$ 0.0068 \\
469 +   200 -  300  &        0.9953 $\pm$ 0.0033 &   1.0000 $\pm$ 0.0000 \\
470 +   300 - 10000  &       1.0000 $\pm$ 0.0000 &   1.0000 $\pm$ 0.0000 \\
471 + \hline
472 + \hline
473 + DATA ID & & \\
474 +
475 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
476 + \hline
477 +    20 -   30  &        0.8145 $\pm$ 0.0008 &   0.6528 $\pm$ 0.0018 \\
478 +    30 -   40  &        0.8676 $\pm$ 0.0004 &   0.7462 $\pm$ 0.0010 \\
479 +    40 -   50  &        0.8955 $\pm$ 0.0003 &   0.7922 $\pm$ 0.0008 \\
480 +    50 -   60  &        0.9049 $\pm$ 0.0006 &   0.8072 $\pm$ 0.0018 \\
481 +    60 -   80  &        0.9110 $\pm$ 0.0011 &   0.8212 $\pm$ 0.0035 \\
482 +    80 -  100  &        0.9156 $\pm$ 0.0028 &   0.8358 $\pm$ 0.0091 \\
483 +   100 -  150  &        0.9257 $\pm$ 0.0036 &   0.8507 $\pm$ 0.0116 \\
484 +   150 -  200  &        0.9186 $\pm$ 0.0084 &   0.8929 $\pm$ 0.0292 \\
485 +   200 -  300  &        0.9106 $\pm$ 0.0149 &   0.7576 $\pm$ 0.0746 \\
486 +   300 - 10000  &       0.9400 $\pm$ 0.0336 &   1.0000 $\pm$ 0.0000 \\
487 + \hline
488 + \hline
489 + DATA ISO  & & \\
490 +
491 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
492 + \hline
493 +    20 -   30  &        0.9201 $\pm$ 0.0006 &   0.9419 $\pm$ 0.0011 \\
494 +    30 -   40  &        0.9667 $\pm$ 0.0002 &   0.9734 $\pm$ 0.0004 \\
495 +    40 -   50  &        0.9872 $\pm$ 0.0001 &   0.9892 $\pm$ 0.0002 \\
496 +    50 -   60  &        0.9904 $\pm$ 0.0002 &   0.9922 $\pm$ 0.0004 \\
497 +    60 -   80  &        0.9923 $\pm$ 0.0004 &   0.9916 $\pm$ 0.0009 \\
498 +    80 -  100  &        0.9914 $\pm$ 0.0010 &   0.9921 $\pm$ 0.0024 \\
499 +   100 -  150  &        0.9945 $\pm$ 0.0011 &   1.0000 $\pm$ 0.0000 \\
500 +   150 -  200  &        0.9908 $\pm$ 0.0031 &   1.0000 $\pm$ 0.0000 \\
501 +   200 -  300  &        0.9941 $\pm$ 0.0042 &   1.0000 $\pm$ 0.0000 \\
502 +   300 - 10000  &       0.9792 $\pm$ 0.0206 &   1.0000 $\pm$ 0.0000 \\
503 + \hline
504 + \hline
505 + Scale Factor ID  & & \\
506 +
507 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
508 + \hline
509 +    20 -   30  &        0.9987 $\pm$ 0.0014 &   0.9944 $\pm$ 0.0040 \\
510 +    30 -   40  &        1.0007 $\pm$ 0.0006 &   1.0015 $\pm$ 0.0019 \\
511 +    40 -   50  &        1.0036 $\pm$ 0.0005 &   1.0096 $\pm$ 0.0015 \\
512 +    50 -   60  &        1.0029 $\pm$ 0.0010 &   1.0146 $\pm$ 0.0031 \\
513 +    60 -   80  &        1.0014 $\pm$ 0.0018 &   1.0057 $\pm$ 0.0060 \\
514 +    80 -  100  &        0.9949 $\pm$ 0.0043 &   1.0197 $\pm$ 0.0158 \\
515 +   100 -  150  &        1.0104 $\pm$ 0.0057 &   1.0154 $\pm$ 0.0198 \\
516 +   150 -  200  &        1.0087 $\pm$ 0.0134 &   1.1008 $\pm$ 0.0535 \\
517 +   200 -  300  &        0.9786 $\pm$ 0.0203 &   0.8277 $\pm$ 0.0879 \\
518 +   300 - 10000  &       1.0824 $\pm$ 0.0619 &   1.2500 $\pm$ 0.2795 \\
519 + \hline
520 + \hline
521 + Scale Factor ISO & & \\
522 + \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
523 + \hline
524 +    20 -   30  &        0.9952 $\pm$ 0.0009 &   0.9950 $\pm$ 0.0016 \\
525 +    30 -   40  &        0.9984 $\pm$ 0.0003 &   0.9992 $\pm$ 0.0006 \\
526 +    40 -   50  &        0.9996 $\pm$ 0.0002 &   1.0009 $\pm$ 0.0003 \\
527 +    50 -   60  &        0.9995 $\pm$ 0.0003 &   1.0009 $\pm$ 0.0006 \\
528 +    60 -   80  &        1.0006 $\pm$ 0.0005 &   0.9985 $\pm$ 0.0012 \\
529 +    80 -  100  &        0.9999 $\pm$ 0.0014 &   1.0013 $\pm$ 0.0035 \\
530 +   100 -  150  &        1.0016 $\pm$ 0.0016 &   1.0108 $\pm$ 0.0036 \\
531 +   150 -  200  &        0.9989 $\pm$ 0.0042 &   1.0068 $\pm$ 0.0069 \\
532 +   200 -  300  &        0.9987 $\pm$ 0.0053 &   1.0000 $\pm$ 0.0000 \\
533 +   300 - 10000  &       0.9792 $\pm$ 0.0206 &   1.0000 $\pm$ 0.0000 \\
534 + \hline
535 + \hline
536 +
537 + \end{tabular}
538 + \end{center}
539 + \end{table}
540 +
541 + \begin{figure}[hbt]
542 +  \begin{center}
543 +        \includegraphics[width=0.3\linewidth]{plots/el_id_njets0.pdf}%
544 +        \includegraphics[width=0.3\linewidth]{plots/el_iso_njets0.pdf}
545 +        \includegraphics[width=0.3\linewidth]{plots/el_id_njets1.pdf}%
546 +        \includegraphics[width=0.3\linewidth]{plots/el_iso_njets1.pdf}
547 +        \includegraphics[width=0.3\linewidth]{plots/el_id_njets2.pdf}%
548 +        \includegraphics[width=0.3\linewidth]{plots/el_iso_njets2.pdf}
549 +        \includegraphics[width=0.3\linewidth]{plots/el_id_njets3.pdf}%
550 +        \includegraphics[width=0.3\linewidth]{plots/el_iso_njets3.pdf}
551 +        \includegraphics[width=0.3\linewidth]{plots/el_id_njets4.pdf}%
552 +        \includegraphics[width=0.3\linewidth]{plots/el_iso_njets4.pdf}
553 +        \caption{
554 +          \label{fig:eltnpeff} Comparison of the electron identification and isolation efficiencies in data and MC for various jet multiplicity requirements. }  
555 +      \end{center}
556 + \end{figure}
557 +
558 + \clearpage
559 +
560 +
561 + \subsection{Trigger Efficiency Measurements}
562 + \label{sec:trg}
563 +
564 + In this section we measure the efficiencies of the single lepton triggers, HLT\_IsoMu24(\_eta2p1) for muons and HLT\_Ele27\_WP80 for electrons, using a tag-and-probe
565 + approach. The tag is required to pass the full offline analysis selection and have \pt\ $>$ 30 GeV, $|\eta|<2.1$, and be matched to the single
566 + lepton trigger. The probe is also required to pass the full offline analysis selection and have $|\eta|<2.1$, but the \pt\ requirement is relaxed to 20 GeV
567 + in order to measure the \pt\ turn-on curve. The tag-probe pair is
568 + required to have opposite-sign and an invariant mass in the range
569 + 76--106 GeV.
570 +
571 + The measured trigger efficiencies are displayed in Fig.~\ref{fig:trigeff} and summarized in Table~\ref{tab:mutriggeff} (muons) and Table~\ref{tab:eltriggeff} (electrons).
572 + These trigger efficiencies are applied to the MC when used to predict data yields selected by single lepton triggers.
573 +
574 +
575 + \begin{figure}[!ht]
576 + \begin{center}
577 + \begin{tabular}{cc}
578 + \includegraphics[width=0.4\textwidth]{plots/mutrig_pt_etabins.pdf} &
579 + \includegraphics[width=0.4\textwidth]{plots/eltrig_pt_etabins.pdf} \\
580 + \end{tabular}
581 + \caption{\label{fig:trigeff}
582 + Efficiency for the single muon trigger HLT\_IsoMu24(\_eta2p1) (left) and single electron trigger HLT\_Ele27\_WP80 (right) as a function of lepton \pt,
583 + for several bins in lepton $|\eta|$.
584 + }
585 + \end{center}
586 + \end{figure}
587 +
588 + \clearpage
589 +
590 + \begin{table}[htb]
591 + \begin{center}
592 + \footnotesize
593 + \caption{\label{tab:mutriggeff}
594 + Summary of the single muon trigger efficiency HLT\_IsoMu24(\_eta2p1). Uncertainties are statistical.}
595 + \begin{tabular}{c|c|c|c}
596 +
597 + % Selection            : (((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&2)==2))&&(HLT_IsoMu24_tag > 0))&&(tag->pt()>30.0))&&(abs(tag->eta())<2.1))&&(probe->pt()>20))&&(abs(probe->eta())<2.1))&&((leptonSelection&65536)==65536))&&((leptonSelection&131072)==131072)
598 + % Probe trigger        : HLT_IsoMu24_probe > 0
599 + % Total data yield     : 5161723
600 +
601 + \hline
602 + \hline
603 +  \pt\ range [GeV] & $|\eta|<0.8$ & $0.8<|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
604 + \hline
605 +  20 -  22  &   0.00 $\pm$ 0.000 &      0.00 $\pm$ 0.000 &      0.00 $\pm$ 0.000 \\
606 +  22 -  24  &   0.03 $\pm$ 0.001 &      0.05 $\pm$ 0.001 &      0.11 $\pm$ 0.002 \\
607 +  24 -  26  &   0.87 $\pm$ 0.002 &      0.78 $\pm$ 0.002 &      0.76 $\pm$ 0.003 \\
608 +  26 -  28  &   0.90 $\pm$ 0.001 &      0.81 $\pm$ 0.002 &      0.78 $\pm$ 0.002 \\
609 +  28 -  30  &   0.91 $\pm$ 0.001 &      0.81 $\pm$ 0.002 &      0.79 $\pm$ 0.002 \\
610 +  30 -  32  &   0.91 $\pm$ 0.001 &      0.81 $\pm$ 0.001 &      0.80 $\pm$ 0.002 \\
611 +  32 -  34  &   0.92 $\pm$ 0.001 &      0.82 $\pm$ 0.001 &      0.80 $\pm$ 0.002 \\
612 +  34 -  36  &   0.93 $\pm$ 0.001 &      0.82 $\pm$ 0.001 &      0.81 $\pm$ 0.001 \\
613 +  36 -  38  &   0.93 $\pm$ 0.001 &      0.83 $\pm$ 0.001 &      0.81 $\pm$ 0.001 \\
614 +  38 -  40  &   0.93 $\pm$ 0.001 &      0.83 $\pm$ 0.001 &      0.82 $\pm$ 0.001 \\
615 +  40 -  50  &   0.94 $\pm$ 0.000 &      0.84 $\pm$ 0.000 &      0.82 $\pm$ 0.001 \\
616 +  50 -  60  &   0.95 $\pm$ 0.000 &      0.84 $\pm$ 0.001 &      0.83 $\pm$ 0.001 \\
617 +  60 -  80  &   0.95 $\pm$ 0.001 &      0.84 $\pm$ 0.002 &      0.83 $\pm$ 0.002 \\
618 +  80 - 100  &   0.94 $\pm$ 0.002 &      0.84 $\pm$ 0.004 &      0.83 $\pm$ 0.006 \\
619 + 100 - 150  &   0.94 $\pm$ 0.003 &      0.84 $\pm$ 0.005 &      0.83 $\pm$ 0.008 \\
620 + 150 - 200  &   0.93 $\pm$ 0.006 &      0.84 $\pm$ 0.011 &      0.82 $\pm$ 0.018 \\
621 + $>$200     &   0.92 $\pm$ 0.010 &      0.82 $\pm$ 0.017 &      0.82 $\pm$ 0.031 \\
622 + \hline
623 + \hline
624 +
625 + \end{tabular}
626 + \end{center}
627 + \end{table}
628 +
629 + \begin{table}[htb]
630 + \begin{center}
631 + \footnotesize
632 + \caption{\label{tab:eltriggeff}
633 + Summary of the single electron trigger efficiency HLT\_Ele27\_WP80. Uncertainties are statistical.}
634 + \begin{tabular}{c|c|c}
635 +
636 + % Selection            : (((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&1)==1))&&(HLT_Ele27_WP80_tag > 0))&&(tag->pt()>30.0))&&(abs(tag->eta())<2.1))&&(probe->pt()>20))&&(abs(probe->eta())<2.1))&&((leptonSelection&8)==8))&&((leptonSelection&16)==16)
637 + % Probe trigger        : HLT_Ele27_WP80_probe > 0
638 + % Total data yield     : 3405966
639 +
640 + \hline
641 + \hline
642 +  \pt\ range [GeV] & $|\eta|<1.5$ & $1.5<|\eta|<2.1$ \\
643 + \hline
644 +  20 -  22   &  0.00 $\pm$ 0.000 &      0.00 $\pm$ 0.000 \\
645 +  22 -  24   &  0.00 $\pm$ 0.000 &      0.00 $\pm$ 0.001 \\
646 +  24 -  26   &  0.00 $\pm$ 0.000 &      0.02 $\pm$ 0.001 \\
647 +  26 -  28   &  0.08 $\pm$ 0.001 &      0.18 $\pm$ 0.003 \\
648 +  28 -  30   &  0.61 $\pm$ 0.002 &      0.50 $\pm$ 0.004 \\
649 +  30 -  32   &  0.86 $\pm$ 0.001 &      0.63 $\pm$ 0.003 \\
650 +  32 -  34   &  0.88 $\pm$ 0.001 &      0.68 $\pm$ 0.003 \\
651 +  34 -  36   &  0.90 $\pm$ 0.001 &      0.70 $\pm$ 0.002 \\
652 +  36 -  38   &  0.91 $\pm$ 0.001 &      0.72 $\pm$ 0.002 \\
653 +  38 -  40   &  0.92 $\pm$ 0.001 &      0.74 $\pm$ 0.002 \\
654 +  40 -  50   &  0.94 $\pm$ 0.000 &      0.76 $\pm$ 0.001 \\
655 +  50 -  60   &  0.95 $\pm$ 0.000 &      0.77 $\pm$ 0.002 \\
656 +  60 -  80   &  0.96 $\pm$ 0.001 &      0.78 $\pm$ 0.003 \\
657 +  80 - 100   &  0.96 $\pm$ 0.002 &      0.80 $\pm$ 0.008 \\
658 +  100 - 150  &  0.96 $\pm$ 0.002 &      0.79 $\pm$ 0.010 \\
659 +  150 - 200  &  0.97 $\pm$ 0.004 &      0.76 $\pm$ 0.026 \\
660 + $>$200       &  0.97 $\pm$ 0.005 &      0.81 $\pm$ 0.038 \\
661 + \hline
662 + \hline
663 +
664 + \end{tabular}
665 + \end{center}
666 + \end{table}
667 +
668 + \clearpage

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