Alec Aivazis edited uncertainties.tex  over 9 years ago

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In order to deduce a systematic uncertainty associated with the scaling of the jet energy, the factor used to scale was increased and decreased by a fixed amount. The two relative differences from the original value were averaged together to produce a single number for a given mass point. This process resulted in a systematic uncertainty of 2\% to be added to the analysese where the supersymmetric top's mass was below 500 GeV. A 3\% uncertainty was added to those events where $m_\mathrm{stop}$ falls between 550 and 700 GeV and a 4\% uncertainty was added to the analysis at higher mass points.  While these numbers varied slightly, a $\chi^2$ test resulted in a 47\% confidence that they varied around the mean value in the 200-450 region and a 96\% confidence in the above 500-700 region. While the confidence for the first region appear to be low, large variances in these uncertainties have very minor effects and can these minutia can be considered neglibile. For more information about $\chi^2$ tests see [chi tests]. \cite{Adke_1994}.  Uncertainties associated with the $dy$ based scale factor were found by finding the difference in the scale factor between the signal region and the $dy$ dominated control region. This difference was then averaged over to produce a final systematic error due to $S_{dy}$. For those events where $m_\mathrm{stop}$ falls between 200 and 450 Gev, this uncertainty was 10\%. For analyses with higher mass points, this uncertainty increased to 25\%.