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Error propagation in Amplitude Analysis (view source)
Revision as of 17:24, 22 November 2011
, 17:24, 22 November 2011no edit summary
The following is a review of error propagation needed to compute the errors on the normalization integrals and the intensity sum that is based on them. Consider the estimator for the intensity for a given PWA solution, based on a sum over a Monte Carlo sample with N<sub>gen</sub> phase space events generated and N reconstructed and passing all cuts.
The following is a review of error propagation needed to compute the errors on the normalization integrals and the intensity sum that is based on them. Consider the estimator for the intensity for a given PWA solution, based on a sum over a Monte Carlo sample with N<sub>gen</sub> phase space events generated and N reconstructed and passing all cuts. A subtle point easy to miss at this point is that the errors on the ''I''<sub>αβ</sub> are correlated because they are computed on the same MC sample. Therefore, while the ''I''<sub>αβ</sub> is rank 2 in the partial wave index, its error is rank 4.
<math>
<math>
I=\frac{1}{N_{gen}}\sum_i^N{
I=\frac{1}{N_{gen}}\sum_i^N{