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\section{Acceptance systematics}
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\label{sec:systematics}
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This is a search for new physics contributions to
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events with high \met and lots of jet activity.
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As seen in Section~\ref{sec:results}, there is no
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evidence for a contribution beyond SM expectations.
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Strictly speaking it is impossible to talk about
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``acceptance systematics'' because these kinds of
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systematics only apply to a well defined final state.
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Nevertheless, we can at least make some qualitative
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statements.
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The systematic uncertainty on the letpon acceptance consists
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of two parts: the trigger efficiency uncertainty and the
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ID and isolation of uncertainty. We discuss these in turn.
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The trigger efficiency
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for two leptons of $P_T>10$ GeV, with one lepton of
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$P_T>20$ GeV is very high, except in some corners
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of phase space, see Section~\ref{sec:trgEff}.
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We estimate the efficiency uncertainty to be a few percent,
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mostly in the low $P_T$ region.
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The ID efficiency in MC is shown in {\color{red} Figures XX and
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YY} for the leptons from $t \to W \to \ell$ and $t \to W \to \tau \to \ell$.
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Tag and probe studies show that these are correct to about
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{\color{red} xx\%. (We need to do tag-and-probe on the full sample,
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see what we get, and write text accordingly).}
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The isolation efficiency depends on the jet activity in
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the final state. For example, in MC we find that the
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lepton isolation efficiency differs by $\approx 4\%$
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{\bf per lepton} between $Z$ events and $t\bar{t}$ events\cite{ref:top}.
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Another significant source of systematic uncertainty is
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associated with the jet and $\met$ energy scale. The impact
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of this uncertainty is very final-state dependent. Final
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states characterized by lots of hadronic activity and \met are much
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less sensitive than final states where the \met and SumJetPt
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are typically close to the requirement. To be more quantitative,
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we have used the method of Reference~\cite{ref:top} to evaluate
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the systematic uncertainties on the acceptance for $t\bar{t}$
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and two benchmark SUSY points. The uncertainties are calculated
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assuming a 5\% uncertainty to the hadronic energy scale in CMS.
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{\color{red} For $t\bar{t}$ we find uncertainties of xx\% (baseline
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selection) and yy\% (signal region D); for LM0 and LM1 we find
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xx\% and yy\% respectively for signal region D.} |
