1 |
|
%\section{Systematics Uncertainties on the Background Prediction} |
2 |
|
%\label{sec:systematics} |
3 |
|
|
4 |
+ |
[ADD INTRODUCTORY BLURB ON UNCERTAINTIES \\ |
5 |
+ |
ADD COMPARISONS OF ALL THE ALTERNATIVE SAMPLES FOR ALL THE SIGNAL |
6 |
+ |
REGIONS \\ |
7 |
+ |
LIST ALL THE UNCERTAINTIES INCLUDED AND THEIR VALUES] |
8 |
+ |
|
9 |
|
\subsection{Uncertainty on the \ttll\ Acceptance} |
10 |
|
|
11 |
|
The \ttbar\ background prediction is obtained from MC, with corrections |
35 |
|
Pythia (LO). It may also be noted that MC@NLO uses Herwig6 for the |
36 |
|
hadronisation, while POWHEG uses Pythia6. |
37 |
|
\item Modeling of taus: The alternative sample does not include |
38 |
< |
Tauola and is otherwise identical to the Powheg sample. |
38 |
> |
Tauola and is otherwise identical to the Powheg sample. [DONE AT |
39 |
> |
7TEV AND FOUND TO BE NEGLIGIBLE] |
40 |
|
\item The PDF uncertainty is estimated following the PDF4LHC |
41 |
|
recommendations[CITE]. The events are reweighted using alternative |
42 |
|
PDF sets for CT10 and MSTW2008 and the uncertainties for each are derived using the |
44 |
|
addition, the NNPDF2.1 set with 100 replicas. The central value is |
45 |
|
determined from the mean and the uncertainty is derived from the |
46 |
|
$1\sigma$ range. The overall uncertainty is derived from the envelope of the |
47 |
< |
alternative predictions and their uncertainties. |
47 |
> |
alternative predictions and their uncertainties. [DONE AT 7 TEV AND |
48 |
> |
FOUND TO BE NEGLIGIBLE] |
49 |
|
\end{itemize} |
50 |
|
|
51 |
|
|
54 |
|
\includegraphics[width=0.8\linewidth]{plots/n_dl_syst_comp.png} |
55 |
|
\caption{ |
56 |
|
\label{fig:ttllsyst}%\protect |
57 |
< |
Central Prediction |
58 |
< |
Band: |
59 |
< |
- total stat. error for all Data and MC samples |
60 |
< |
- N jets scaling uncertainty (ISR/FSR) |
61 |
< |
Alternative Sample Predictions |
62 |
< |
Error bars: uncorrelated stat. error from alternative ttbar sample only} |
57 |
> |
Comparison of the \ttll\ central prediction with those using |
58 |
> |
alternative MC samples. The blue band corresponds to the |
59 |
> |
total statistical error for all data and MC samples. The |
60 |
> |
alternative sample predictions are indicated by the |
61 |
> |
datapoints. The uncertainties on the alternative predictions |
62 |
> |
correspond to the uncorrelated statistical uncertainty from |
63 |
> |
the size of the alternative sample only.} |
64 |
|
\end{center} |
65 |
|
\end{figure} |
66 |
|
|
199 |
|
%\end{tabular} |
200 |
|
%\end{center} |
201 |
|
%\end{table} |
202 |
+ |
|
203 |
+ |
|
204 |
+ |
\subsection{Isolated Track Veto: Tag and Probe Studies} |
205 |
+ |
|
206 |
+ |
[EVERYTHING IS 7TEV HERE, UPDATE WITH NEW RESULTS \\ |
207 |
+ |
ADD TABLE WITH FRACTION OF EVENTS THAT HAVE A TRUE ISOLATED TRACK] |
208 |
+ |
|
209 |
+ |
In this section we compare the performance of the isolated track veto in data and MC using tag-and-probe studies |
210 |
+ |
with samples of Z$\to$ee and Z$\to\mu\mu$. The purpose of these studies is to demonstrate that the efficiency |
211 |
+ |
to satisfy the isolated track veto requirements is well-reproduced in the MC, since if this were not the case |
212 |
+ |
we would need to apply a data-to-MC scale factor in order to correctly predict the \ttll\ background. This study |
213 |
+ |
addresses possible data vs. MC discrepancies for the {\bf efficiency} to identify (and reject) events with a |
214 |
+ |
second {\bf genuine} lepton (e, $\mu$, or $\tau\to$1-prong). It does not address possible data vs. MC discrepancies |
215 |
+ |
in the fake rate for rejecting events without a second genuine lepton; this is handled separately in the top normalization |
216 |
+ |
procedure by scaling the \ttlj\ contribution to match the data in the \mt\ peak after applying the isolated track veto. |
217 |
+ |
Furthermore, we test the data and MC |
218 |
+ |
isolated track veto efficiencies for electrons and muons since we are using a Z tag-and-probe technique, but we do not |
219 |
+ |
directly test the performance for hadronic tracks from $\tau$ decays. The performance for hadronic $\tau$ decay products |
220 |
+ |
may differ from that of electrons and muons for two reasons. First, the $\tau$ may decay to a hadronic track plus one |
221 |
+ |
or two $\pi^0$'s, which may decay to $\gamma\gamma$ followed by a photon conversion. As shown in Figure~\ref{fig:absiso}, |
222 |
+ |
the isolation distribution for charged tracks from $\tau$ decays that are not produced in association with $\pi^0$s are |
223 |
+ |
consistent with that from $\E$s and $\M$s. Since events from single prong $\tau$ decays produced in association with |
224 |
+ |
$\pi^0$s comprise a small fraction of the total sample, and since the kinematics of $\tau$, $\pi^0$ and $\gamma\to e^+e^-$ |
225 |
+ |
decays are well-understood, we currently demonstrate that the isolation is well-reproduced for electrons and muons only. |
226 |
+ |
Second, hadronic tracks may undergo nuclear interactions and hence their tracks may not be reconstructed. |
227 |
+ |
As discussed above, independent studies show that the MC reproduces the hadronic tracking efficiency within 4\%, |
228 |
+ |
leading to a total background uncertainty of less than 0.5\% (after taking into account the fraction of the total background |
229 |
+ |
due to hadronic $\tau$ decays with \pt\ $>$ 10 GeV tracks), and we hence regard this effect as neglgigible. |
230 |
+ |
|
231 |
+ |
The tag-and-probe studies are performed in the full 2011 data sample, and compared with the DYJets madgraph sample. |
232 |
+ |
All events must contain a tag-probe pair (details below) with opposite-sign and satisfying the Z mass requirement 76--106 GeV. |
233 |
+ |
We compare the distributions of absolute track isolation for probe electrons/muons in data vs. MC. The contributions to |
234 |
+ |
this isolation sum are from ambient energy in the event from underlying event, pile-up and jet activitiy, and hence do |
235 |
+ |
not depend on the \pt\ of the probe lepton. We therefore restrict the probe \pt\ to be $>$ 30 GeV in order to suppress |
236 |
+ |
fake backgrounds with steeply-falling \pt\ spectra. To suppress non-Z backgrounds (in particular \ttbar) we require |
237 |
+ |
\met\ $<$ 30 GeV and 0 b-tagged events. |
238 |
+ |
The specific criteria for tags and probes for electrons and muons are: |
239 |
+ |
|
240 |
+ |
%We study the isolated track veto efficiency in bins of \njets. |
241 |
+ |
%We are interested in events with at least 4 jets to emulate the hadronic activity in our signal sample. However since |
242 |
+ |
%there are limited statistics for Z + $\geq$4 jet events, we study the isolated track performance in events with |
243 |
+ |
|
244 |
+ |
|
245 |
+ |
\begin{itemize} |
246 |
+ |
\item{Electrons} |
247 |
+ |
|
248 |
+ |
\begin{itemize} |
249 |
+ |
\item{Tag criteria} |
250 |
+ |
|
251 |
+ |
\begin{itemize} |
252 |
+ |
\item Electron passes full analysis ID/iso selection |
253 |
+ |
\item \pt\ $>$ 30 GeV, $|\eta|<2.5$ |
254 |
+ |
|
255 |
+ |
\item Matched to 1 of the 2 electron tag-and-probe triggers |
256 |
+ |
\begin{itemize} |
257 |
+ |
\item \verb=HLT_Ele17_CaloIdVT_CaloIsoVT_TrkIdT_TrkIsoVT_SC8_Mass30_v*= |
258 |
+ |
\item \verb=HLT_Ele17_CaloIdVT_CaloIsoVT_TrkIdT_TrkIsoVT_Ele8_Mass30_v*= |
259 |
+ |
\end{itemize} |
260 |
+ |
\end{itemize} |
261 |
+ |
|
262 |
+ |
\item{Probe criteria} |
263 |
+ |
\begin{itemize} |
264 |
+ |
\item Electron passes full analysis ID selection |
265 |
+ |
\item \pt\ $>$ 30 GeV |
266 |
+ |
\end{itemize} |
267 |
+ |
\end{itemize} |
268 |
+ |
\item{Muons} |
269 |
+ |
\begin{itemize} |
270 |
+ |
\item{Tag criteria} |
271 |
+ |
\begin{itemize} |
272 |
+ |
\item Muon passes full analysis ID/iso selection |
273 |
+ |
\item \pt\ $>$ 30 GeV, $|\eta|<2.1$ |
274 |
+ |
\item Matched to 1 of the 2 electron tag-and-probe triggers |
275 |
+ |
\begin{itemize} |
276 |
+ |
\item \verb=HLT_IsoMu30_v*= |
277 |
+ |
\item \verb=HLT_IsoMu30_eta2p1_v*= |
278 |
+ |
\end{itemize} |
279 |
+ |
\end{itemize} |
280 |
+ |
\item{Probe criteria} |
281 |
+ |
\begin{itemize} |
282 |
+ |
\item Muon passes full analysis ID selection |
283 |
+ |
\item \pt\ $>$ 30 GeV |
284 |
+ |
\end{itemize} |
285 |
+ |
\end{itemize} |
286 |
+ |
\end{itemize} |
287 |
+ |
|
288 |
+ |
The absolute track isolation distributions for passing probes are displayed in Fig.~\ref{fig:tnp}. In general we observe |
289 |
+ |
good agreement between data and MC. To be more quantitative, we compare the data vs. MC efficiencies to satisfy |
290 |
+ |
absolute track isolation requirements varying from $>$ 1 GeV to $>$ 5 GeV, as summarized in Table~\ref{tab:isotrk}. |
291 |
+ |
In the $\geq$0 and $\geq$1 jet bins where the efficiencies can be tested with statistical precision, the data and MC |
292 |
+ |
efficiencies agree within 7\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency. |
293 |
+ |
For the higher jet multiplicity bins the statistical precision decreases, but we do not observe any evidence for |
294 |
+ |
a data vs. MC discrepancy in the isolated track veto efficiency. |
295 |
+ |
|
296 |
+ |
|
297 |
+ |
%This is because our analysis requirement is relative track isolation $<$ 0.1, and m |
298 |
+ |
%This requirement is chosen because most of the tracks rejected by the isolated |
299 |
+ |
%track veto have a \pt\ near the 10 GeV threshold, and our analysis requirement is relative track isolation $<$ 1 GeV. |
300 |
+ |
|
301 |
+ |
\begin{figure}[hbt] |
302 |
+ |
\begin{center} |
303 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}% |
304 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf} |
305 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}% |
306 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf} |
307 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}% |
308 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf} |
309 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}% |
310 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf} |
311 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}% |
312 |
+ |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf} |
313 |
+ |
\caption{ |
314 |
+ |
\label{fig:tnp} Comparison of the absolute track isolation in data vs. MC for electrons (left) and muons (right) |
315 |
+ |
for events with the \njets\ requirement varied from \njets\ $\geq$ 0 to \njets\ $\geq$ 4. |
316 |
+ |
} |
317 |
+ |
\end{center} |
318 |
+ |
\end{figure} |
319 |
+ |
|
320 |
+ |
\clearpage |
321 |
+ |
|
322 |
+ |
\begin{table}[!ht] |
323 |
+ |
\begin{center} |
324 |
+ |
\caption{\label{tab:isotrk} Comparison of the data vs. MC efficiencies to satisfy the indicated requirements |
325 |
+ |
on the absolute track isolation, and the ratio of these two efficiencies. Results are indicated separately for electrons and muons and for various |
326 |
+ |
jet multiplicity requirements.} |
327 |
+ |
\begin{tabular}{l|l|c|c|c|c|c} |
328 |
+ |
\hline |
329 |
+ |
\hline |
330 |
+ |
e + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
331 |
+ |
\hline |
332 |
+ |
data & 0.088 $\pm$ 0.0003 & 0.030 $\pm$ 0.0002 & 0.013 $\pm$ 0.0001 & 0.007 $\pm$ 0.0001 & 0.005 $\pm$ 0.0001 \\ |
333 |
+ |
mc & 0.087 $\pm$ 0.0001 & 0.030 $\pm$ 0.0001 & 0.014 $\pm$ 0.0001 & 0.008 $\pm$ 0.0000 & 0.005 $\pm$ 0.0000 \\ |
334 |
+ |
data/mc & 1.01 $\pm$ 0.00 & 0.99 $\pm$ 0.01 & 0.97 $\pm$ 0.01 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.01 \\ |
335 |
+ |
\hline |
336 |
+ |
\hline |
337 |
+ |
$\mu$ + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
338 |
+ |
\hline |
339 |
+ |
data & 0.087 $\pm$ 0.0002 & 0.031 $\pm$ 0.0001 & 0.015 $\pm$ 0.0001 & 0.008 $\pm$ 0.0001 & 0.005 $\pm$ 0.0001 \\ |
340 |
+ |
mc & 0.085 $\pm$ 0.0001 & 0.030 $\pm$ 0.0001 & 0.014 $\pm$ 0.0000 & 0.008 $\pm$ 0.0000 & 0.005 $\pm$ 0.0000 \\ |
341 |
+ |
data/mc & 1.02 $\pm$ 0.00 & 1.06 $\pm$ 0.00 & 1.06 $\pm$ 0.01 & 1.03 $\pm$ 0.01 & 1.02 $\pm$ 0.01 \\ |
342 |
+ |
\hline |
343 |
+ |
\hline |
344 |
+ |
e + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
345 |
+ |
\hline |
346 |
+ |
data & 0.099 $\pm$ 0.0008 & 0.038 $\pm$ 0.0005 & 0.019 $\pm$ 0.0004 & 0.011 $\pm$ 0.0003 & 0.008 $\pm$ 0.0002 \\ |
347 |
+ |
mc & 0.100 $\pm$ 0.0004 & 0.038 $\pm$ 0.0003 & 0.019 $\pm$ 0.0002 & 0.012 $\pm$ 0.0002 & 0.008 $\pm$ 0.0001 \\ |
348 |
+ |
data/mc & 0.99 $\pm$ 0.01 & 1.00 $\pm$ 0.02 & 0.99 $\pm$ 0.02 & 0.98 $\pm$ 0.03 & 0.97 $\pm$ 0.03 \\ |
349 |
+ |
\hline |
350 |
+ |
\hline |
351 |
+ |
$\mu$ + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
352 |
+ |
\hline |
353 |
+ |
data & 0.100 $\pm$ 0.0006 & 0.041 $\pm$ 0.0004 & 0.022 $\pm$ 0.0003 & 0.014 $\pm$ 0.0002 & 0.010 $\pm$ 0.0002 \\ |
354 |
+ |
mc & 0.099 $\pm$ 0.0004 & 0.039 $\pm$ 0.0002 & 0.020 $\pm$ 0.0002 & 0.013 $\pm$ 0.0001 & 0.009 $\pm$ 0.0001 \\ |
355 |
+ |
data/mc & 1.01 $\pm$ 0.01 & 1.05 $\pm$ 0.01 & 1.05 $\pm$ 0.02 & 1.06 $\pm$ 0.02 & 1.06 $\pm$ 0.03 \\ |
356 |
+ |
\hline |
357 |
+ |
\hline |
358 |
+ |
e + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
359 |
+ |
\hline |
360 |
+ |
data & 0.105 $\pm$ 0.0020 & 0.042 $\pm$ 0.0013 & 0.021 $\pm$ 0.0009 & 0.013 $\pm$ 0.0007 & 0.009 $\pm$ 0.0006 \\ |
361 |
+ |
mc & 0.109 $\pm$ 0.0011 & 0.043 $\pm$ 0.0007 & 0.021 $\pm$ 0.0005 & 0.013 $\pm$ 0.0004 & 0.009 $\pm$ 0.0003 \\ |
362 |
+ |
data/mc & 0.96 $\pm$ 0.02 & 0.97 $\pm$ 0.03 & 1.00 $\pm$ 0.05 & 1.01 $\pm$ 0.06 & 0.97 $\pm$ 0.08 \\ |
363 |
+ |
\hline |
364 |
+ |
\hline |
365 |
+ |
$\mu$ + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
366 |
+ |
\hline |
367 |
+ |
data & 0.106 $\pm$ 0.0016 & 0.045 $\pm$ 0.0011 & 0.025 $\pm$ 0.0008 & 0.016 $\pm$ 0.0007 & 0.012 $\pm$ 0.0006 \\ |
368 |
+ |
mc & 0.108 $\pm$ 0.0009 & 0.044 $\pm$ 0.0006 & 0.024 $\pm$ 0.0004 & 0.016 $\pm$ 0.0004 & 0.011 $\pm$ 0.0003 \\ |
369 |
+ |
data/mc & 0.98 $\pm$ 0.02 & 1.04 $\pm$ 0.03 & 1.04 $\pm$ 0.04 & 1.04 $\pm$ 0.05 & 1.06 $\pm$ 0.06 \\ |
370 |
+ |
\hline |
371 |
+ |
\hline |
372 |
+ |
e + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
373 |
+ |
\hline |
374 |
+ |
data & 0.117 $\pm$ 0.0055 & 0.051 $\pm$ 0.0038 & 0.029 $\pm$ 0.0029 & 0.018 $\pm$ 0.0023 & 0.012 $\pm$ 0.0019 \\ |
375 |
+ |
mc & 0.120 $\pm$ 0.0031 & 0.052 $\pm$ 0.0021 & 0.027 $\pm$ 0.0015 & 0.018 $\pm$ 0.0012 & 0.013 $\pm$ 0.0011 \\ |
376 |
+ |
data/mc & 0.97 $\pm$ 0.05 & 0.99 $\pm$ 0.08 & 1.10 $\pm$ 0.13 & 1.03 $\pm$ 0.15 & 0.91 $\pm$ 0.16 \\ |
377 |
+ |
\hline |
378 |
+ |
\hline |
379 |
+ |
$\mu$ + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
380 |
+ |
\hline |
381 |
+ |
data & 0.111 $\pm$ 0.0044 & 0.050 $\pm$ 0.0030 & 0.029 $\pm$ 0.0024 & 0.019 $\pm$ 0.0019 & 0.014 $\pm$ 0.0017 \\ |
382 |
+ |
mc & 0.115 $\pm$ 0.0025 & 0.051 $\pm$ 0.0017 & 0.030 $\pm$ 0.0013 & 0.020 $\pm$ 0.0011 & 0.015 $\pm$ 0.0009 \\ |
383 |
+ |
data/mc & 0.97 $\pm$ 0.04 & 0.97 $\pm$ 0.07 & 0.95 $\pm$ 0.09 & 0.97 $\pm$ 0.11 & 0.99 $\pm$ 0.13 \\ |
384 |
+ |
\hline |
385 |
+ |
\hline |
386 |
+ |
e + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
387 |
+ |
\hline |
388 |
+ |
data & 0.113 $\pm$ 0.0148 & 0.048 $\pm$ 0.0100 & 0.033 $\pm$ 0.0083 & 0.020 $\pm$ 0.0065 & 0.017 $\pm$ 0.0062 \\ |
389 |
+ |
mc & 0.146 $\pm$ 0.0092 & 0.064 $\pm$ 0.0064 & 0.034 $\pm$ 0.0048 & 0.024 $\pm$ 0.0040 & 0.021 $\pm$ 0.0037 \\ |
390 |
+ |
data/mc & 0.78 $\pm$ 0.11 & 0.74 $\pm$ 0.17 & 0.96 $\pm$ 0.28 & 0.82 $\pm$ 0.30 & 0.85 $\pm$ 0.34 \\ |
391 |
+ |
\hline |
392 |
+ |
\hline |
393 |
+ |
$\mu$ + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
394 |
+ |
\hline |
395 |
+ |
data & 0.130 $\pm$ 0.0128 & 0.052 $\pm$ 0.0085 & 0.028 $\pm$ 0.0063 & 0.019 $\pm$ 0.0052 & 0.019 $\pm$ 0.0052 \\ |
396 |
+ |
mc & 0.105 $\pm$ 0.0064 & 0.045 $\pm$ 0.0043 & 0.027 $\pm$ 0.0034 & 0.019 $\pm$ 0.0028 & 0.014 $\pm$ 0.0024 \\ |
397 |
+ |
data/mc & 1.23 $\pm$ 0.14 & 1.18 $\pm$ 0.22 & 1.03 $\pm$ 0.27 & 1.01 $\pm$ 0.32 & 1.37 $\pm$ 0.45 \\ |
398 |
+ |
\hline |
399 |
+ |
\hline |
400 |
+ |
|
401 |
+ |
\end{tabular} |
402 |
+ |
\end{center} |
403 |
+ |
\end{table} |
404 |
+ |
|
405 |
+ |
|
406 |
+ |
|
407 |
+ |
%Figure.~\ref{fig:reliso} compares the relative track isolation |
408 |
+ |
%for events with a track with $\pt > 10~\GeV$ in addition to a selected |
409 |
+ |
%muon for $\Z+4$ jet events and various \ttll\ components. The |
410 |
+ |
%isolation distributions show significant differences, particularly |
411 |
+ |
%between the leptons from a \W\ or \Z\ decay and the tracks arising |
412 |
+ |
%from $\tau$ decays. As can also be seen in the figure, the \pt\ |
413 |
+ |
%distribution for the various categories of tracks is different, where |
414 |
+ |
%the decay products from $\tau$s are significantly softer. Since the |
415 |
+ |
%\pt\ enters the denominator of the isolation definition and hence |
416 |
+ |
%alters the isolation variable... |
417 |
+ |
|
418 |
+ |
%\begin{figure}[hbt] |
419 |
+ |
% \begin{center} |
420 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfiso_njets4_log.png}% |
421 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfpt_njets4.png} |
422 |
+ |
% \caption{ |
423 |
+ |
% \label{fig:reliso}%\protect |
424 |
+ |
% Comparison of relative track isolation variable for PF cand probe in Z+jets and ttbar |
425 |
+ |
% Z+Jets and ttbar dilepton have similar isolation distributions |
426 |
+ |
% ttbar with leptonic and single prong taus tend to be less |
427 |
+ |
% isolated. The difference in the isolation can be attributed |
428 |
+ |
% to the different \pt\ distribution of the samples, since |
429 |
+ |
% $\tau$ decay products tend to be softer than leptons arising |
430 |
+ |
% from \W\ or \Z\ decays.} |
431 |
+ |
% \end{center} |
432 |
+ |
%\end{figure} |
433 |
+ |
|
434 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfabsiso_njets4_log.png} |
435 |
+ |
|
436 |
+ |
|
437 |
+ |
%BEGIN SECTION TO WRITE OUT |
438 |
+ |
%In detail, the procedure to correct the dilepton background is: |
439 |
+ |
|
440 |
+ |
%\begin{itemize} |
441 |
+ |
%\item Using tag-and-probe studies, we plot the distribution of {\bf absolute} track isolation for identified probe electrons |
442 |
+ |
%and muons {\bf TODO: need to compare the e vs. $\mu$ track iso distributions, they might differ due to e$\to$e$\gamma$}. |
443 |
+ |
%\item We verify that the distribution of absolute track isolation does not depend on the \pt\ of the probe lepton. |
444 |
+ |
%This is due to the fact that this isolation is from ambient PU and jet activity in the event, which is uncorrelated with |
445 |
+ |
%the lepton \pt {\bf TODO: verify this in data and MC.}. |
446 |
+ |
%\item Our requirement is {\bf relative} track isolation $<$ 0.1. For a given \ttll\ MC event, we determine the \pt of the 2nd |
447 |
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%lepton and translate this to find the corresponding requirement on the {\bf absolute} track isolation, which is simply $0.1\times$\pt. |
448 |
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%\item We measure the efficiency to satisfy this requirement in data and MC, and define a scale-factor $SF_{\epsilon(trk)}$ which |
449 |
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%is the ratio of the data-to-MC efficiencies. This scale-factor is applied to the \ttll\ MC event. |
450 |
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%\item {\bf THING 2 we are unsure about: we can measure this SF for electrons and for muons, but we can't measure it for hadronic |
451 |
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%tracks from $\tau$ decays. Verena has showed that the absolute track isolation distribution in hadronic $\tau$ tracks is harder due |
452 |
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%to $\pi^0\to\gamma\gamma$ with $\gamma\to e^+e^-$.} |
453 |
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%\end{itemize} |
454 |
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%END SECTION TO WRITE OUT |
455 |
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|
456 |
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|
457 |
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{\bf fix me: What you have written in the next paragraph does not explain how $\epsilon_{fake}$ is measured. |
458 |
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Why not measure $\epsilon_{fake}$ in the b-veto region?} |
459 |
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|
460 |
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%A measurement of the $\epsilon_{fake}$ in data is non-trivial. However, it is |
461 |
+ |
%possible to correct for differences in the $\epsilon_{fake}$ between data and MC by |
462 |
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%applying an additional scale factor for the single lepton background |
463 |
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%alone, using the sample in the \mt\ peak region. This scale factor is determined after applying the isolated track |
464 |
+ |
%veto and after subtracting the \ttll\ component, corrected for the |
465 |
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%isolation efficiency derived previously. |
466 |
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%As shown in Figure~\ref{fig:vetoeffcomp}, the efficiency for selecting an |
467 |
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%isolated track in single lepton events is independent of \mt\, so the use of |
468 |
+ |
%an overall scale factor is justified to estimate the contribution in |
469 |
+ |
%the \mt\ tail. |
470 |
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% |
471 |
+ |
%\begin{figure}[hbt] |
472 |
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% \begin{center} |
473 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/vetoeff_comp.png} |
474 |
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% \caption{ |
475 |
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% \label{fig:vetoeffcomp}%\protect |
476 |
+ |
% Efficiency for selecting an isolated track comparing |
477 |
+ |
% single lepton \ttlj\ and dilepton \ttll\ events in MC and |
478 |
+ |
% data as a function of \mt. The |
479 |
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% efficiencies in \ttlj\ and \ttll\ exhibit no dependence on |
480 |
+ |
% \mt\, while the data ranges between the two. This behavior |
481 |
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% is expected since the low \mt\ region is predominantly \ttlj, while the |
482 |
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% high \mt\ region contains mostly \ttll\ events.} |
483 |
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% \end{center} |
484 |
+ |
%\end{figure} |
485 |
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|