Abstract
In the ATLAS experiment, several unfolding methods are used to correct experimental measurements for detector effects, like acceptance and resolution. These methods use as input the raw experimental distributions, as well as Monte Carlo simulation for the description of the detector effects. The systematic uncertainties associated to the various unfolding methods are evaluated. The statistical and systematic uncertainties affecting the raw measurements and/or the simulation are propagated through the unfolding procedure. The resulting corrected measurements with their uncertainties can be directly compared with the corresponding theoretical predictions.
Highlights
Unfolding is the procedure of correcting a measured quantity, which in many cases is the distribution of an observable, for distortions due to the measurement process.Many analyses of data collected with the ATLAS detector [1] use this technique in order to infer an unknown distribution from a measured one
The treatment of the statistical and systematic uncertainties is a crucial technical aspect when the unfolding is applied to an analysis
Since the treatment can change and there is not a general guide line for it, it is important to mention some of the main differences of the used methods
Summary
Unfolding is the procedure of correcting a measured quantity, which in many cases is the distribution of an observable, for distortions due to the measurement process (for example, detector effects). Different methods are available and implemented in the RooUnfold [2] framework. In spite of this a standard procedure can be delineated that is totally independent from the chosen method. The treatment of the statistical and systematic uncertainties is a crucial technical aspect when the unfolding is applied to an analysis. Since the treatment can change and there is not a general guide line for it, it is important to mention some of the main differences of the used methods.
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