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Of these 8 backgrounds, the processes with a * after them exhibit a 2-to-1 ratio of $e \mu$ to $\mu \mu$ events as the final state. Using this, the number of $\mu \mu$ events present in the data that come from these background processes can be estimated from the total number of $e \mu$ events present in data. However, due to experimental variations, we do not expect $\frac{N_{e \mu}}{N_{\mu \mu}} = 2$. For this reason, the actual number used is computed in the $tt$ dominated control region using the ratio of $e \mu$ events to $\mu \mu$ events in data, subtracting off the events from non 2:1 backgrounds. This ratio was found to be $R_{2:1} = 2.01 \pm 0.033$
For those processes which do not exhibit the 2-to-1 ratio, the expected number of events is computed based on estimates produced by the Monte Carlo samples discussed in section \ref{sect:eventSelection}. Since the Monte Carlo simulations cannot be assumed to be perfect, the estimates for the non 2-to-1 processes were scaled based on the ratio in the $dy$ dominated control region of non 2-to-1 processes in data to those in Monte Carlo, i.e. $SF = \frac{N_{data} - N_{2:1}}{N_{non-2:1}}$. Where N corresponds to the number of
$\mu \mu$ events in the $dy$ dominated control region. This value was calculated for each mass point but exhibited only small deviations and as such a weighted average was used when predicting the final event count.
The final expression for the total count is as follows
\begin{equation}
\mathrm{Total\ Pred} = \left(
\mathrm{N}_\mathrm{data} \mathrm{Data}_\mathrm{e \mu} \div R_{2:1} \right) + \left( SF \times \mathrm{N}_\mathrm{non-2:1} \right)
\end{equation}
where $R_{2:1}$ and $SF$ are defined as above,
$Data_{e \mu}$ refers to the number of $e \mu$ events in data, and
N $N_{non-2:1}$ refers to the number of
non 2-to-1 $\mu \mu$
events. events in Monte Carlo.