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# Line 1 | Line 1
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]
4 > [DESCRIBE HERE ONE BY ONE THE UNCERTAINTIES THAT ARE PRESENT IN THE SPREADSHHET
5 > FROM WHICH WE CALCULATE THE TOTAL UNCERTAINTY. WE KNOW HOW TO DO THIS
6 > AND
7 > WE HAVE THE TECHNOLOGY FROM THE 7 TEV ANALYSIS TO PROPAGATE ALL
8 > UNCERTAINTIES
9 > CORRECTLY THROUGH.  WE WILL DO IT ONCE WE HAVE SETTLED ON THE
10 > INDIVIDUAL PIECES WHICH ARE STILL IN FLUX]
11 >
12 > In this Section we discuss the systematic uncertainty on the BG
13 > prediction.  This prediction is assembled from the event
14 > counts in the peak region of the transverse mass distribution as
15 > well as Monte Carlo
16 > with a number of correction factors, as described previously.
17 > The
18 > final uncertainty on the prediction is built up from the uncertainties in these
19 > individual
20 > components.
21 > The calculation is done for each signal
22 > region,
23 > for electrons and muons separately.
24 >
25 > The choice to normalizing to the peak region of $M_T$ has the
26 > advantage that some uncertainties, e.g., luminosity, cancel.
27 > It does however introduce complications because it couples
28 > some of the uncertainties in non-trivial ways.  For example,
29 > the primary effect of an uncertainty on the rare MC cross-section
30 > is to introduce an uncertainty in the rare MC background estimate
31 > which comes entirely from MC.   But this uncertainty also affects,
32 > for example,
33 > the $t\bar{t} \to$ dilepton BG estimate because it changes the
34 > $t\bar{t}$ normalization to the peak region (because some of the
35 > events in the peak region are from rare processes).  These effects
36 > are carefully accounted for.  The contribution to the overall
37 > uncertainty from each BG source is tabulated in
38 > Section~\ref{sec:bgunc-bottomline}.
39 > First, however, we discuss the uncertainties one-by-one and we comment
40 > on their impact on the overall result, at least to first order.
41 > Second order effects, such as the one described, are also included.
42 >
43 > \subsection{Statistical uncertainties on the event counts in the $M_T$
44 > peak regions}
45 > These vary between XX and XX \%, depending on the signal region
46 > (different
47 > signal regions have different \met\ requirements, thus they also have
48 > different $M_T$ regions used as control.
49 > Since
50 > the major BG, eg, $t\bar{t}$ are normalized to the peak regions, this
51 > fractional uncertainty is pretty much carried through all the way to
52 > the end.  There is also an uncertainty from the finite MC event counts
53 > in the $M_T$ peak regions.  This is also included, but it is smaller.
54 >
55 > \subsection{Uncertainty from the choice of $M_T$ peak region}
56 > IN 7 TEV DATA WE HAD SOME SHAPE DIFFERENCES IN THE MTRANS REGION THAT
57 > LED US TO CONSERVATIVELY INCLUDE THIS UNCERTAINTY.  WE NEED TO LOOK
58 > INTO THIS AGAIN
59 >
60 > \subsection{Uncertainty on the Wjets cross-section and the rare MC cross-sections}
61 > These are taken as 50\%, uncorrelated.  
62 > The primary effect is to introduce a 50\%
63 > uncertainty
64 > on the $W +$ jets and rare BG
65 > background predictions, respectively.  However they also
66 > have an effect on the other BGs via the $M_T$ peak normalization
67 > in a way that tends to reduce the uncertainty.  This is easy
68 > to understand: if the $W$ cross-section is increased by 50\%, then
69 > the $W$ background goes up.  But the number of $M_T$ peak events
70 > attributed to $t\bar{t}$ goes down, and since the $t\bar{t}$ BG is
71 > scaled to the number of $t\bar{t}$ events in the peak, the $t\bar{t}$
72 > BG goes down.  
73 >
74 > \subsection{Scale factors for the tail-to-peak ratios for lepton +
75 >  jets top and W events}
76 > These tail-to-peak ratios are described in Section~\ref{sec:ttp}.
77 > They are studied in CR1 and CR2.  The studies are described
78 > in Sections~\ref{sec:cr1} and~\ref{sec:cr2}), respectively, where
79 > we also give the uncertainty on the scale factors.
80 >
81 > \subsection{Uncertainty on extra jet radiation for dilepton
82 >  background}
83 > As discussed in Section~\ref{sec:jetmultiplicity}, the
84 > jet distribution in
85 > $t\bar{t} \to$
86 > dilepton MC is rescaled by the factors $K_3$ and $K_4$ to make
87 > it agree with the data.  The XX\% uncertainties on $K_3$ and $K_4$
88 > comes from data/MC statistics.  This  
89 > result directly in a XX\% uncertainty on the dilepton BG, which is by far
90 > the most important one.
91 >
92  
93   \subsection{Uncertainty on the \ttll\ Acceptance}
94  
# Line 35 | Line 119 | The variations considered are
119    Pythia (LO). It may also be noted that MC@NLO uses Herwig6 for the
120    hadronisation, while POWHEG uses Pythia6.
121   \item Modeling of taus: The alternative sample does not include
122 <  Tauola and is otherwise identical to the Powheg sample.  [DONE AT
123 <  7TEV AND FOUND TO BE NEGLIGIBLE]
122 >  Tauola and is otherwise identical to the Powheg sample.
123 >  This effect was studied earlier using 7~TeV samples and found to be negligible.
124   \item The PDF uncertainty is estimated following the PDF4LHC
125    recommendations[CITE]. The events are reweighted using alternative
126    PDF sets for CT10 and MSTW2008 and the uncertainties for each are derived using the
# Line 44 | Line 128 | The variations considered are
128    addition, the NNPDF2.1 set with 100 replicas. The central value is
129    determined from the mean and the uncertainty is derived from the
130    $1\sigma$ range. The overall uncertainty is derived from the envelope of the
131 <  alternative predictions and their uncertainties. [DONE AT 7 TEV AND
132 <  FOUND TO BE NEGLIGIBLE]
133 < \end{itemize}
131 >  alternative predictions and their uncertainties.
132 >  This effect was studied earlier using 7~TeV samples and found to be negligible.
133 >  \end{itemize}
134  
135  
136   \begin{figure}[hbt]
# Line 60 | Line 144 | The variations considered are
144            alternative sample predictions are indicated by the
145            datapoints. The uncertainties on the alternative predictions
146            correspond to the uncorrelated statistical uncertainty from
147 <          the size of the alternative sample only.}
147 >          the size of the alternative sample only.
148 >        [TO BE UPDATED WITH THE LATEST SELECTION AND SFS]}
149        \end{center}
150      \end{figure}
151  
152 <
152 > \clearpage
153  
154   %
155   %
# Line 200 | Line 285 | The variations considered are
285   %\end{center}
286   %\end{table}
287  
288 + \subsection{Uncertainty from the isolated track veto}
289 + This is the uncertainty associated with how well the isolated track
290 + veto performance is modeled by the Monte Carlo.  This uncertainty
291 + only applies to the fraction of dilepton BG events that have
292 + a second e/$\mu$ or a one prong $\tau \to h$, with
293 + $P_T > 10$ GeV in $|\eta| < 2.4$.  This fraction is 1/3 (THIS WAS THE
294 + 7 TEV NUMBER, CHECK).  The uncertainty for these events
295 + is XX\% and is obtained from Tag and Probe studies of Section~\ref{sec:trkveto}
296  
297 < \subsection{Isolated Track Veto: Tag and Probe Studies}
297 > \subsubsection{Isolated Track Veto: Tag and Probe Studies}
298 > \label{sec:trkveto}
299  
300   [EVERYTHING IS 7TEV HERE, UPDATE WITH NEW RESULTS \\
301   ADD TABLE WITH FRACTION OF EVENTS THAT HAVE A TRUE ISOLATED TRACK]
# Line 250 | Line 344 | The specific criteria for tags and probe
344  
345        \begin{itemize}
346        \item Electron passes full analysis ID/iso selection
347 <      \item \pt\ $>$ 30 GeV, $|\eta|<2.5$
348 <
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}
347 >      \item \pt\ $>$ 30 GeV, $|\eta|<2.1$
348 >      \item Matched to the single electron trigger \verb=HLT_Ele27_WP80_v*=
349        \end{itemize}
350  
351      \item{Probe criteria}
# Line 271 | Line 360 | The specific criteria for tags and probe
360        \begin{itemize}
361        \item Muon passes full analysis ID/iso selection
362        \item \pt\ $>$ 30 GeV, $|\eta|<2.1$
363 <      \item Matched to 1 of the 2 electron tag-and-probe triggers
363 >      \item Matched to 1 of the 2 single muon triggers
364          \begin{itemize}
365          \item \verb=HLT_IsoMu30_v*=
366          \item \verb=HLT_IsoMu30_eta2p1_v*=
# Line 289 | Line 378 | The absolute track isolation distributio
378   good agreement between data and MC. To be more quantitative, we compare the data vs. MC efficiencies to satisfy
379   absolute track isolation requirements varying from $>$ 1 GeV to $>$ 5 GeV, as summarized in Table~\ref{tab:isotrk}.
380   In the $\geq$0 and $\geq$1 jet bins where the efficiencies can be tested with statistical precision, the data and MC
381 < efficiencies agree within 7\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency.
381 > efficiencies agree within 6\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency.
382   For the higher jet multiplicity bins the statistical precision decreases, but we do not observe any evidence for
383   a data vs. MC discrepancy in the isolated track veto efficiency.
384  
# Line 300 | Line 389 | a data vs. MC discrepancy in the isolate
389  
390   \begin{figure}[hbt]
391    \begin{center}
392 <        %\includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}%
393 <        %\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf}
394 <        %\includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}%
395 <        %\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf}
396 <        %\includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}%
397 <        %\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf}
398 <        %\includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}%
399 <        %\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf}
400 <        %\includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}%
401 <        %\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf}
392 >        \includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}%
393 >        \includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf}
394 >        \includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}%
395 >        \includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf}
396 >        \includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}%
397 >        \includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf}
398 >        \includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}%
399 >        \includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf}
400 >        \includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}%
401 >        \includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf}
402          \caption{
403            \label{fig:tnp} Comparison of the absolute track isolation in data vs. MC for electrons (left) and muons (right)
404   for events with the \njets\ requirement varied from \njets\ $\geq$ 0 to \njets\ $\geq$ 4.
# Line 324 | Line 413 | for events with the \njets\ requirement
413   \caption{\label{tab:isotrk} Comparison of the data vs. MC efficiencies to satisfy the indicated requirements
414   on the absolute track isolation, and the ratio of these two efficiencies. Results are indicated separately for electrons and muons and for various
415   jet multiplicity requirements.}
416 < \begin{tabular}{l|l|c|c|c|c|c}
416 > \begin{tabular}{l|c|c|c|c|c}
417 >
418 > %Electrons:
419 > %Selection            : ((((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&1)==1))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(HLT_Ele27_WP80_tag > 0))&&(met<30))&&(nbl==0))&&((leptonSelection&8)==8))&&(probe->pt()>30))&&(drprobe<0.05)
420 > %Total MC yields        : 2497277
421 > %Total DATA yields      : 2649453
422 > %Muons:
423 > %Selection            : ((((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&2)==2))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(HLT_IsoMu24_tag > 0))&&(met<30))&&(nbl==0))&&((leptonSelection&65536)==65536))&&(probe->pt()>30))&&(drprobe<0.05)
424 > %Total MC yields        : 3749863
425 > %Total DATA yields      : 4210022
426 > %Info in <TCanvas::MakeDefCanvas>:  created default TCanvas with name c1
427 > %Info in <TCanvas::Print>: pdf file plots/nvtx.pdf has been created
428 >
429   \hline
430   \hline
431 < e + $\geq$0 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
431 > e + $\geq$0 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
432   \hline
433 <      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  \\
434 <        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  \\
435 <   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  \\
433 >      data   &  0.098 $\pm$ 0.0002   &  0.036 $\pm$ 0.0001   &  0.016 $\pm$ 0.0001   &  0.009 $\pm$ 0.0001   &  0.006 $\pm$ 0.0000  \\
434 >        mc   &  0.097 $\pm$ 0.0002   &  0.034 $\pm$ 0.0001   &  0.016 $\pm$ 0.0001   &  0.009 $\pm$ 0.0001   &  0.005 $\pm$ 0.0000  \\
435 >   data/mc   &     1.00 $\pm$ 0.00   &     1.04 $\pm$ 0.00   &     1.04 $\pm$ 0.01   &     1.03 $\pm$ 0.01   &     1.02 $\pm$ 0.01  \\
436 >
437   \hline
438   \hline
439 < $\mu$ + $\geq$0 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
439 > $\mu$ + $\geq$0 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
440   \hline
441 <      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  \\
442 <        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  \\
443 <   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  \\
441 >      data   &  0.094 $\pm$ 0.0001   &  0.034 $\pm$ 0.0001   &  0.016 $\pm$ 0.0001   &  0.009 $\pm$ 0.0000   &  0.006 $\pm$ 0.0000  \\
442 >        mc   &  0.093 $\pm$ 0.0001   &  0.033 $\pm$ 0.0001   &  0.015 $\pm$ 0.0001   &  0.009 $\pm$ 0.0000   &  0.006 $\pm$ 0.0000  \\
443 >   data/mc   &     1.01 $\pm$ 0.00   &     1.03 $\pm$ 0.00   &     1.03 $\pm$ 0.01   &     1.03 $\pm$ 0.01   &     1.02 $\pm$ 0.01  \\
444 >
445   \hline
343 \hline
344 e + $\geq$1 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
446   \hline
447 <      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  \\
447 > e + $\geq$1 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
448   \hline
449 +      data   &  0.110 $\pm$ 0.0005   &  0.044 $\pm$ 0.0003   &  0.022 $\pm$ 0.0002   &  0.014 $\pm$ 0.0002   &  0.009 $\pm$ 0.0002  \\
450 +        mc   &  0.110 $\pm$ 0.0005   &  0.042 $\pm$ 0.0003   &  0.021 $\pm$ 0.0002   &  0.013 $\pm$ 0.0002   &  0.009 $\pm$ 0.0001  \\
451 +   data/mc   &     1.00 $\pm$ 0.01   &     1.04 $\pm$ 0.01   &     1.06 $\pm$ 0.02   &     1.08 $\pm$ 0.02   &     1.06 $\pm$ 0.03  \\
452 +
453   \hline
351 $\mu$ + $\geq$1 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
454   \hline
455 <      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  \\
455 > $\mu$ + $\geq$1 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
456   \hline
457 +      data   &  0.106 $\pm$ 0.0004   &  0.043 $\pm$ 0.0003   &  0.023 $\pm$ 0.0002   &  0.014 $\pm$ 0.0002   &  0.010 $\pm$ 0.0001  \\
458 +        mc   &  0.106 $\pm$ 0.0004   &  0.042 $\pm$ 0.0003   &  0.021 $\pm$ 0.0002   &  0.013 $\pm$ 0.0002   &  0.009 $\pm$ 0.0001  \\
459 +   data/mc   &     1.00 $\pm$ 0.01   &     1.04 $\pm$ 0.01   &     1.06 $\pm$ 0.01   &     1.08 $\pm$ 0.02   &     1.07 $\pm$ 0.02  \\
460 +
461   \hline
358 e + $\geq$2 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
462   \hline
463 <      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  \\
463 > e + $\geq$2 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
464   \hline
465 +      data   &  0.117 $\pm$ 0.0012   &  0.050 $\pm$ 0.0008   &  0.026 $\pm$ 0.0006   &  0.017 $\pm$ 0.0005   &  0.012 $\pm$ 0.0004  \\
466 +        mc   &  0.120 $\pm$ 0.0012   &  0.048 $\pm$ 0.0008   &  0.025 $\pm$ 0.0006   &  0.016 $\pm$ 0.0005   &  0.011 $\pm$ 0.0004  \\
467 +   data/mc   &     0.97 $\pm$ 0.01   &     1.05 $\pm$ 0.02   &     1.05 $\pm$ 0.03   &     1.07 $\pm$ 0.04   &     1.07 $\pm$ 0.05  \\
468 +
469   \hline
365 $\mu$ + $\geq$2 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
470   \hline
471 <      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  \\
471 > $\mu$ + $\geq$2 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
472   \hline
473 +      data   &  0.111 $\pm$ 0.0010   &  0.048 $\pm$ 0.0007   &  0.026 $\pm$ 0.0005   &  0.018 $\pm$ 0.0004   &  0.013 $\pm$ 0.0004  \\
474 +        mc   &  0.115 $\pm$ 0.0010   &  0.048 $\pm$ 0.0006   &  0.025 $\pm$ 0.0005   &  0.016 $\pm$ 0.0004   &  0.012 $\pm$ 0.0003  \\
475 +   data/mc   &     0.97 $\pm$ 0.01   &     1.01 $\pm$ 0.02   &     1.04 $\pm$ 0.03   &     1.09 $\pm$ 0.04   &     1.09 $\pm$ 0.04  \\
476 +
477   \hline
372 e + $\geq$3 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
478   \hline
479 <      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  \\
480 <        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  \\
481 <   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  \\
479 > e + $\geq$3 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
480 > \hline
481 >      data   &  0.123 $\pm$ 0.0031   &  0.058 $\pm$ 0.0022   &  0.034 $\pm$ 0.0017   &  0.023 $\pm$ 0.0014   &  0.017 $\pm$ 0.0012  \\
482 >        mc   &  0.131 $\pm$ 0.0030   &  0.055 $\pm$ 0.0020   &  0.030 $\pm$ 0.0015   &  0.020 $\pm$ 0.0013   &  0.015 $\pm$ 0.0011  \\
483 >   data/mc   &     0.94 $\pm$ 0.03   &     1.06 $\pm$ 0.06   &     1.14 $\pm$ 0.08   &     1.16 $\pm$ 0.10   &     1.17 $\pm$ 0.12  \\
484 >
485   \hline
486   \hline
487 < $\mu$ + $\geq$3 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
487 > $\mu$ + $\geq$3 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
488   \hline
489 <      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  \\
490 <        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  \\
491 <   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  \\
489 >      data   &  0.121 $\pm$ 0.0025   &  0.055 $\pm$ 0.0018   &  0.033 $\pm$ 0.0014   &  0.022 $\pm$ 0.0011   &  0.017 $\pm$ 0.0010  \\
490 >        mc   &  0.120 $\pm$ 0.0024   &  0.052 $\pm$ 0.0016   &  0.029 $\pm$ 0.0012   &  0.019 $\pm$ 0.0010   &  0.014 $\pm$ 0.0009  \\
491 >   data/mc   &     1.01 $\pm$ 0.03   &     1.06 $\pm$ 0.05   &     1.14 $\pm$ 0.07   &     1.14 $\pm$ 0.08   &     1.16 $\pm$ 0.10  \\
492 >
493   \hline
494   \hline
495 < e + $\geq$4 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
495 > e + $\geq$4 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
496   \hline
497 <      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  \\
498 <        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  \\
499 <   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  \\
497 >      data   &  0.129 $\pm$ 0.0080   &  0.070 $\pm$ 0.0061   &  0.044 $\pm$ 0.0049   &  0.031 $\pm$ 0.0042   &  0.021 $\pm$ 0.0034  \\
498 >        mc   &  0.132 $\pm$ 0.0075   &  0.059 $\pm$ 0.0053   &  0.035 $\pm$ 0.0041   &  0.025 $\pm$ 0.0035   &  0.017 $\pm$ 0.0029  \\
499 >   data/mc   &     0.98 $\pm$ 0.08   &     1.18 $\pm$ 0.15   &     1.26 $\pm$ 0.20   &     1.24 $\pm$ 0.24   &     1.18 $\pm$ 0.28  \\
500 >
501   \hline
502   \hline
503 < $\mu$ + $\geq$4 jets            &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
503 > $\mu$ + $\geq$4 jets   &           $>$ 1 GeV   &           $>$ 2 GeV   &           $>$ 3 GeV   &           $>$ 4 GeV   &           $>$ 5 GeV  \\
504   \hline
505 <      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  \\
506 <        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  \\
507 <   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  \\
505 >      data   &  0.136 $\pm$ 0.0067   &  0.064 $\pm$ 0.0048   &  0.041 $\pm$ 0.0039   &  0.029 $\pm$ 0.0033   &  0.024 $\pm$ 0.0030  \\
506 >        mc   &  0.130 $\pm$ 0.0063   &  0.065 $\pm$ 0.0046   &  0.035 $\pm$ 0.0034   &  0.020 $\pm$ 0.0026   &  0.013 $\pm$ 0.0022  \\
507 >   data/mc   &     1.04 $\pm$ 0.07   &     0.99 $\pm$ 0.10   &     1.19 $\pm$ 0.16   &     1.47 $\pm$ 0.25   &     1.81 $\pm$ 0.37  \\
508 >
509   \hline
510   \hline
511  
# Line 403 | Line 514 | jet multiplicity requirements.}
514   \end{table}
515  
516  
406
517   %Figure.~\ref{fig:reliso} compares the relative track isolation
518   %for events with a track with $\pt > 10~\GeV$ in addition to a selected
519   %muon for $\Z+4$ jet events and various \ttll\ components. The
# Line 483 | Line 593 | Why not measure $\epsilon_{fake}$ in the
593   %      \end{center}
594   %\end{figure}
595  
596 + \subsection{Summary of uncertainties}
597 + \label{sec:bgunc-bottomline}.
598 +
599 + THIS NEEDS TO BE WRITTEN

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