| 16 |
|
then scaling by the expected ratio of Drell Yan |
| 17 |
|
events outside vs. inside the $Z$ mass |
| 18 |
|
window.\footnote{A correction based on $e\mu$ events |
| 19 |
< |
is also applied.} This ratio is typically 0.1. |
| 19 |
> |
is also applied.} This ratio is called $R_{out/in}$ |
| 20 |
> |
and is obtained from Monte Carlo. |
| 21 |
> |
|
| 22 |
> |
To estimate the Drell-Yan contribution in the four $ABCD$ |
| 23 |
> |
regions, we count the numbers of $Z \to ee$ and $Z \to \mu\mu$ |
| 24 |
> |
events falling in each region, we subtract off the number |
| 25 |
> |
of $e\mu$ events with $76 < M(e\mu) < 106$ GeV, and |
| 26 |
> |
we multiply the result by $R_{out/in}$ from Monte Carlo. |
| 27 |
> |
The results are summarized in Table~\ref{tab:ABCD-DY}. |
| 28 |
> |
|
| 29 |
> |
\begin{table}[hbt] |
| 30 |
> |
\begin{center} |
| 31 |
> |
\caption{\label{tab:ABCD-DY} Drell-Yan estimations |
| 32 |
> |
in the four |
| 33 |
> |
regions of Figure~\ref{fig:abcdData}. The yields are |
| 34 |
> |
for dileptons with invariant mass consistent with the $Z$. |
| 35 |
> |
The factor |
| 36 |
> |
$R_{out/in}$ is from MC. All uncertainties |
| 37 |
> |
are statistical only.} |
| 38 |
> |
\begin{tabular}{|l|c|c|c||c|} |
| 39 |
> |
\hline |
| 40 |
> |
Region & $N(ee)+N(\mu\mu)$ & $N(e\mu)$ & $R_{out/in}$ & Estimated DY BG \\ |
| 41 |
> |
\hline |
| 42 |
> |
$A$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 43 |
> |
$B$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 44 |
> |
$C$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 45 |
> |
$D$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 46 |
> |
\hline |
| 47 |
> |
\end{tabular} |
| 48 |
> |
\end{center} |
| 49 |
> |
\end{table} |
| 50 |
> |
|
| 51 |
> |
|
| 52 |
> |
|
| 53 |
> |
%When find no dilepton events with invariant mass |
| 54 |
> |
%consistent with the $Z$ in the signal region. |
| 55 |
> |
%Using the value of 0.1 for the ratio described above, this |
| 56 |
> |
%means that the Drell Yan background in our signal |
| 57 |
> |
%region is $< 0.23\%$ events at the 90\% confidence level. |
| 58 |
> |
%{\color{red} (If we find 1 event this will need to be adjusted)}. |
| 59 |
> |
|
| 60 |
> |
As discussed in Section~\ref{sec:victory}, residual Drell-Yan |
| 61 |
> |
events can have a significant effect on the data driven background |
| 62 |
> |
prediction based on $P_T(\ell\ell)$. This is taken into account, |
| 63 |
> |
based on MC expectations, |
| 64 |
> |
by the $K_{\rm{fudge}}$ factor describes in that Section. |
| 65 |
> |
As a cross-check, we use the same Drell Yan background |
| 66 |
> |
estimation method described above to estimated the |
| 67 |
> |
number of DY events in the regions $A'B'C'D'$. |
| 68 |
> |
The region $A'$ is defined in the same way as the region $A$ |
| 69 |
> |
except that the $\met/\sqrt{\rm SumJetPt}$ requirement is |
| 70 |
> |
replaced by a $P_T(\ell\ell)/\sqrt{\rm SumJetPt}$ requirement. |
| 71 |
> |
The regions B', |
| 72 |
> |
C', and D' are defined in a similar way. The results are |
| 73 |
> |
summarized in Table~\ref{tab:ABCD-DYptll}. |
| 74 |
> |
|
| 75 |
> |
\begin{table}[hbt] |
| 76 |
> |
\begin{center} |
| 77 |
> |
\caption{\label{tab:ABCD-DYptll} Drell-Yan estimations |
| 78 |
> |
in the four |
| 79 |
> |
regions $A'B'C'D'$ defined in the text. The yields are |
| 80 |
> |
for dileptons with invariant mass consistent with the $Z$. |
| 81 |
> |
The factor |
| 82 |
> |
$R_{out/in}$ is from MC. All uncertainties |
| 83 |
> |
are statistical only.} |
| 84 |
> |
\begin{tabular}{|l|c|c|c||c|} |
| 85 |
> |
\hline |
| 86 |
> |
Region & $N(ee)+N(\mu\mu)$ & $N(e\mu)$ & $R_{out/in}$ & Estimated DY BG \\ |
| 87 |
> |
\hline |
| 88 |
> |
$A'$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 89 |
> |
$B'$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 90 |
> |
$C'$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 91 |
> |
$D'$ & xx & xx & xx$\pm$xx & xx$\pm$xx \\ |
| 92 |
> |
\hline |
| 93 |
> |
\end{tabular} |
| 94 |
> |
\end{center} |
| 95 |
> |
\end{table} |
| 96 |
|
|
| 21 |
– |
When find no dilepton events with invariant mass |
| 22 |
– |
consistent with the $Z$ in the signal region. |
| 23 |
– |
Using the value of 0.1 for the ratio described above, this |
| 24 |
– |
means that the Drell Yan background in our signal |
| 25 |
– |
region is $< 0.23\%$ events at the 90\% confidence level. |
| 26 |
– |
{\color{red} (If we find 1 event this will need to be adjusted)}. |
| 97 |
|
|
| 98 |
|
Finally, we can use the ``Fake Rate'' method\cite{ref:FR} |
| 99 |
|
to predict |
