| 9 |
|
|
| 10 |
|
In Table~\ref{tab:cr1mtsf} we show the amount that we need to scale the Wjets MC |
| 11 |
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by in order to have agreement between data and Monte Carlo in the $M_T$ peak |
| 12 |
< |
region, defined as $60 < M_T < 100$ GeV. These scale factors are not terribly |
| 12 |
> |
region, defined as $50 < M_T < 80$ GeV, for the |
| 13 |
> |
different signal regions. (Recall, the signal regions have different |
| 14 |
> |
\met\ requirements). These scale factors are not terribly |
| 15 |
|
important, but it is reassuring that they are not too different from |
| 16 |
< |
1. [UPDATE WITH TRIGGER EFFICIENCIES] |
| 16 |
> |
1. |
| 17 |
|
|
| 18 |
|
|
| 19 |
|
\begin{table}[!h] |
| 20 |
|
\begin{center} |
| 21 |
< |
\begin{tabular}{l||c||c|c|c|c|c} |
| 21 |
> |
{\footnotesize |
| 22 |
> |
\begin{tabular}{l||c||c|c|c|c|c|c|c} |
| 23 |
|
\hline |
| 24 |
< |
Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E\\ |
| 24 |
> |
Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E & |
| 25 |
> |
CR1F & CR1G\\ |
| 26 |
|
\hline |
| 27 |
|
\hline |
| 28 |
< |
Muon \mt-SF & $0.90 \pm 0.02$ & $0.93 \pm 0.02$ & $0.93 \pm 0.04$ & $0.93 \pm 0.06$ & $1.03 \pm 0.09$ & $1.04 \pm 0.13$ \\ |
| 28 |
> |
$\mu$ \mt-SF & $0.92 \pm 0.02$ & $0.97 \pm 0.03$ & $0.90 \pm 0.04$ & $0.91 \pm 0.06$ & $0.93 \pm 0.09$ & $0.98 \pm 0.13$ & $0.94 \pm 0.18$ & $0.96 \pm 0.25$ \\ |
| 29 |
|
\hline |
| 30 |
|
\hline |
| 31 |
< |
Electron \mt-SF & $0.93 \pm 0.02$ & $0.91 \pm 0.03$ & $0.87 \pm 0.05$ & $0.85 \pm 0.07$ & $0.82 \pm 0.09$ & $0.78 \pm 0.13$ \\ |
| 31 |
> |
e \mt-SF & $0.94 \pm 0.02$ & $0.90 \pm 0.04$ & $0.84 \pm 0.05$ & $0.80 \pm 0.07$ & $0.83 \pm 0.10$ & $0.77 \pm 0.13$ & $0.86 \pm 0.20$ & $0.87 \pm 0.29$ \\ |
| 32 |
|
\hline |
| 33 |
< |
\end{tabular} |
| 34 |
< |
\caption{ \mt\ peak Data/MC scale factors applied to the single lepton |
| 35 |
< |
samples and \ttdl. The raw MC is used for backgrounds from rare |
| 33 |
> |
\end{tabular}} |
| 34 |
> |
\caption{ \mt\ peak Data/MC scale factors applied to Wjets |
| 35 |
> |
samples. The MC is used for backgrounds from rare |
| 36 |
|
processes. CR1PRESEL refers to a sample with $\met>50$ GeV. |
| 37 |
|
The uncertainties are statistical only. |
| 38 |
|
\label{tab:cr1mtsf}} |
| 39 |
|
\end{center} |
| 40 |
|
\end{table} |
| 41 |
|
|
| 42 |
< |
|
| 43 |
< |
In Table~\ref{tab:cr1yields} we compare the data and MC yields in the four $M_T$ signal regions |
| 44 |
< |
and in a looser control region. We also derive the data/MC scale factors |
| 45 |
< |
$SFR^{e}_{wjet}$ and $SFR^{\mu}_{wjet}$. The underlying \met\ and $M_T$ distributions |
| 46 |
< |
are shown in Fig.~\ref{fig:cr1met} and~\ref{fig:cr1mtrest} |
| 42 |
> |
Next, in Fig~\ref{fig:cr1met},~\ref{fig:cr1mtrest}, |
| 43 |
> |
and~\ref{fig:cr1mtrest2}, we show plots of \met\ and then $M_T$ |
| 44 |
> |
for different signal regions, i.e., for different \met\ requirements. |
| 45 |
> |
It is clear that there are more events in the $M_T$ tail than |
| 46 |
> |
predicted |
| 47 |
> |
from MC. This implies that we need to rescale the MC Wjets |
| 48 |
> |
background |
| 49 |
> |
in the tail region. |
| 50 |
|
|
| 51 |
|
\begin{table}[!h] |
| 52 |
|
\begin{center} |
| 53 |
|
{\footnotesize |
| 54 |
< |
\begin{tabular}{l||c||c|c|c|c|c} |
| 54 |
> |
\begin{tabular}{l||c||c|c|c|c|c|c|c} |
| 55 |
> |
\hline |
| 56 |
> |
Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E & |
| 57 |
> |
CR1F & CR1G\\ |
| 58 |
> |
\hline |
| 59 |
> |
\hline |
| 60 |
> |
$\mu$ MC & $480 \pm 22$ & $173 \pm 5$ & $114 \pm 4$ & $40 \pm 2$ & $16 \pm 1$ & $8 \pm 1$ & $4 \pm 1$ & $2 \pm 1$ \\ |
| 61 |
> |
$\mu$ Data & $629$ & $238$ & $139$ & $45$ & $12$ & $8$ & $3$ & $2$ \\ |
| 62 |
> |
\hline |
| 63 |
> |
$\mu$ Data/MC & $1.31 \pm 0.08$ & $1.37 \pm 0.10$ & $1.22 \pm 0.11$ & $1.12 \pm 0.18$ & $0.75 \pm 0.23$ & $0.99 \pm 0.37$ & $0.75 \pm 0.45$ & $0.96 \pm 0.72$ \\ |
| 64 |
> |
\hline |
| 65 |
> |
\hline |
| 66 |
> |
e MC & $330 \pm 8$ & $118 \pm 4$ & $79 \pm 3$ & $29 \pm 2$ & $13 \pm 1$ & $5 \pm 1$ & $3 \pm 1$ & $2 \pm 0$ \\ |
| 67 |
> |
e Data & $473$ & $174$ & $100$ & $36$ & $16$ & $5$ & $5$ & $2$ \\ |
| 68 |
> |
\hline |
| 69 |
> |
e Data/MC & $1.43 \pm 0.07$ & $1.47 \pm 0.12$ & $1.27 \pm 0.14$ & $1.23 \pm 0.22$ & $1.26 \pm 0.34$ & $1.07 \pm 0.51$ & $1.80 \pm 0.91$ & $1.26 \pm 0.97$ \\ |
| 70 |
> |
\hline |
| 71 |
> |
\hline |
| 72 |
> |
$\mu$+e MC & $810 \pm 23$ & $291 \pm 7$ & $192 \pm 5$ & $69 \pm 3$ & $29 \pm 2$ & $13 \pm 1$ & $7 \pm 1$ & $4 \pm 1$ \\ |
| 73 |
> |
$\mu$+e Data & $1102$ & $412$ & $239$ & $81$ & $28$ & $13$ & $8$ & $4$ \\ |
| 74 |
> |
\hline |
| 75 |
> |
$\mu$+e Data/MC & $1.36 \pm 0.08$ & $1.42 \pm 0.13$ & $1.24 \pm 0.15$ & $1.17 \pm 0.23$ & $0.97 \pm 0.31$ & $1.02 \pm 0.51$ & $1.18 \pm 0.69$ & $1.09 \pm 0.96$ \\ |
| 76 |
> |
\hline |
| 77 |
> |
\hline |
| 78 |
> |
\hline |
| 79 |
> |
$\mu$ W MC & $300 \pm 23$ & $84 \pm 5$ & $52 \pm 4$ & $20 \pm 2$ & $9 \pm 2$ & $5 \pm 1$ & $3 \pm 1$ & $1 \pm 1$ \\ |
| 80 |
> |
$\mu$ W Data & $449 \pm 26$ & $149 \pm 16$ & $78 \pm 12$ & $25 \pm 7$ & $5 \pm 4$ & $5 \pm 3$ & $2 \pm 2$ & $1 \pm 1$ \\ |
| 81 |
> |
\hline |
| 82 |
> |
$\mu$ W Data/MC & $1.50 \pm 0.14$ & $1.77 \pm 0.21$ & $1.49 \pm 0.26$ & $1.25 \pm 0.38$ & $0.56 \pm 0.39$ & $0.98 \pm 0.62$ & $0.60 \pm 0.73$ & $0.94 \pm 1.14$ \\ |
| 83 |
> |
\hline |
| 84 |
|
\hline |
| 85 |
< |
Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E\\ |
| 85 |
> |
e W MC & $192 \pm 8$ & $55 \pm 4$ & $36 \pm 3$ & $14 \pm 2$ & $6 \pm 1$ & $3 \pm 1$ & $2 \pm 1$ & $1 \pm 0$ \\ |
| 86 |
> |
e W Data & $335 \pm 22$ & $111 \pm 13$ & $58 \pm 10$ & $20 \pm 6$ & $10 \pm 4$ & $3 \pm 2$ & $4 \pm 2$ & $1 \pm 1$ \\ |
| 87 |
|
\hline |
| 88 |
+ |
e W Data/MC & $1.74 \pm 0.14$ & $2.02 \pm 0.29$ & $1.58 \pm 0.32$ & $1.49 \pm 0.50$ & $1.50 \pm 0.70$ & $1.10 \pm 0.80$ & $2.27 \pm 1.55$ & $1.51 \pm 1.96$ \\ |
| 89 |
|
\hline |
| 52 |
– |
Muon MC & $473 \pm 22$ & $169 \pm 5$ & $116 \pm 4$ & $41 \pm 2$ & $17 \pm 2$ & $8 \pm 1$ \\ |
| 53 |
– |
Muon Data & $629$ & $238$ & $139$ & $45$ & $12$ & $8$ \\ |
| 90 |
|
\hline |
| 91 |
< |
Muon Data/MC SF: ($SFR^{\mu}_{wjet}$) & $1.33 \pm 0.08$ & $1.41 \pm 0.10$ & $1.20 \pm 0.11$ & $1.11 \pm 0.18$ & $0.71 \pm 0.21$ & $0.95 \pm 0.36$ \\ |
| 91 |
> |
$\mu$+e W MC & $493 \pm 24$ & $139 \pm 6$ & $89 \pm 5$ & $33 \pm 3$ & $16 \pm 2$ & $8 \pm 1$ & $4 \pm 1$ & $2 \pm 1$ \\ |
| 92 |
> |
$\mu$+e W Data & $785 \pm 59$ & $260 \pm 37$ & $135 \pm 28$ & $45 \pm 16$ & $15 \pm 9$ & $8 \pm 7$ & $6 \pm 5$ & $3 \pm 3$ \\ |
| 93 |
|
\hline |
| 94 |
+ |
$\mu$+e W Data/MC & $1.59 \pm 0.14$ & $1.87 \pm 0.28$ & $1.53 \pm 0.33$ & $1.35 \pm 0.50$ & $0.95 \pm 0.58$ & $1.03 \pm 0.83$ & $1.29 \pm 1.13$ & $1.16 \pm 1.65$ \\ |
| 95 |
|
\hline |
| 58 |
– |
Electron MC & $327 \pm 8$ & $119 \pm 4$ & $80 \pm 3$ & $30 \pm 2$ & $13 \pm 1$ & $5 \pm 1$ \\ |
| 59 |
– |
Electron Data & $487$ & $181$ & $103$ & $38$ & $16$ & $6$ \\ |
| 96 |
|
\hline |
| 97 |
< |
Electron Data/MC SF: ($SFR^e_{wjet}$) & $1.49 \pm 0.08$ & $1.53 \pm 0.13$ & $1.29 \pm 0.14$ & $1.27 \pm 0.22$ & $1.26 \pm 0.35$ & $1.27 \pm 0.56$ \\ |
| 97 |
> |
\hline |
| 98 |
> |
$SFR_{wjet}$ & $1.48 \pm 0.26$ & $1.64 \pm 0.38$ & $1.38 \pm 0.30$ & $1.26 \pm 0.39$ & $0.96 \pm 0.45$ & $1.02 \pm 0.67$ & $1.23 \pm 0.92$ & $1.12 \pm 1.31$ \\ |
| 99 |
|
\hline |
| 100 |
|
\end{tabular}} |
| 101 |
|
\caption{ Yields in \mt\ tail comparing the MC prediction (after |
| 102 |
|
applying SFs) to data. CR1PRESEL refers to a sample with $\met>50$ |
| 103 |
< |
GeV and $\mt>150$ GeV. |
| 104 |
< |
The uncertainties are statistical only. |
| 103 |
> |
GeV and $\mt>150$ GeV. See text for details. |
| 104 |
> |
% The uncertainties are statistical only. |
| 105 |
|
\label{tab:cr1yields}} |
| 106 |
|
\end{center} |
| 107 |
|
\end{table} |
| 108 |
|
|
| 109 |
|
|
| 110 |
+ |
The rescaling is explored |
| 111 |
+ |
in Table~\ref{tab:cr1yields}, |
| 112 |
+ |
Here we compare the data and MC yields in the $M_T$ signal regions |
| 113 |
+ |
and in a looser control region. Note that the |
| 114 |
+ |
MC is normalized in the $M_T$ peak region by rescaling |
| 115 |
+ |
the \wjets\ component according to Table~\ref{tab:cr1mtsf}. |
| 116 |
+ |
|
| 117 |
+ |
We also derive data/MC scale factors. |
| 118 |
+ |
These are derived in two different ways, separately for muons and |
| 119 |
+ |
electrons and then combined, as follows; |
| 120 |
+ |
\begin{itemize} |
| 121 |
+ |
\item For first three sets of scale factors, above the triple horizontal |
| 122 |
+ |
line, we calculate the scale factor as the amount by which we would |
| 123 |
+ |
need to rescale {\bf all} MC (\wjets\ , \ttbar\ , single top, rare) in |
| 124 |
+ |
order to have data-MC agreement in the $M_T$ tail. |
| 125 |
+ |
\item For the next three set of scale factors, below the triple horizontal |
| 126 |
+ |
line, we calculate the scale factor as the amount by which we would |
| 127 |
+ |
need |
| 128 |
+ |
to scale \wjets\ keeping all other |
| 129 |
+ |
components fixed in order to have data-MC agreement in the tail. |
| 130 |
+ |
\end{itemize} |
| 131 |
+ |
\noindent The true \wjets\ scale factor is somewhere in between these |
| 132 |
+ |
two extremes. We also note that there is no statistically significant |
| 133 |
+ |
difference between the electron and muon samples. We use these data |
| 134 |
+ |
to extract a data/MC scale factor for \wjets\ which will be used to |
| 135 |
+ |
rescale the \wjets\ MC tail. This scale factor is listed in the last |
| 136 |
+ |
line of the Table, and is called $SFR_{wjets}$. It is calculated as |
| 137 |
+ |
follows. |
| 138 |
+ |
\begin{itemize} |
| 139 |
+ |
\item Separately for each signal region |
| 140 |
+ |
\item As the average of the two methods described above |
| 141 |
+ |
\item Including the statistical uncertainty |
| 142 |
+ |
\item Adding in quadrature to the uncertainty one-half of the |
| 143 |
+ |
deviation from 1.0 |
| 144 |
+ |
\end{itemize} |
| 145 |
+ |
|
| 146 |
+ |
|
| 147 |
+ |
|
| 148 |
+ |
|
| 149 |
+ |
|
| 150 |
+ |
|
| 151 |
|
\begin{figure}[hbt] |
| 152 |
|
\begin{center} |
| 153 |
|
\includegraphics[width=0.5\linewidth]{plots/CR1plots/met_met50_leadmuo_nj4.pdf}% |
| 182 |
|
\end{center} |
| 183 |
|
\end{figure} |
| 184 |
|
|
| 185 |
+ |
\begin{figure}[hbt] |
| 186 |
+ |
\begin{center} |
| 187 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met300_leadmuo_nj4.pdf}% |
| 188 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met300_leadele_nj4.pdf} |
| 189 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met350_leadmuo_nj4.pdf}% |
| 190 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met350_leadele_nj4.pdf} |
| 191 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met400_leadmuo_nj4.pdf}% |
| 192 |
+ |
\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met400_leadele_nj4.pdf} |
| 193 |
+ |
\caption{ |
| 194 |
+ |
Comparison of the \mt\ distribution in data vs. MC for events |
| 195 |
+ |
with a leading muon (left) and leading electron (right) |
| 196 |
+ |
satisfying the requirements of CR1. The \met\ requirements used are |
| 197 |
+ |
300 GeV (top), 350 GeV (middle) and 400 GeV (bottom). |
| 198 |
+ |
\label{fig:cr1mtrest2} |
| 199 |
+ |
} |
| 200 |
+ |
\end{center} |
| 201 |
+ |
\end{figure} |
| 202 |
+ |
|
| 203 |
+ |
|
| 204 |
|
\clearpage |
