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Efficiency corrections for factorial moments and cumulants of overlapping sets of particles

6 Jan 2021arXiv:2101.02182links table onlyarchive 2025-07-28

Volodymyr Vovchenko, Volker Koch

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In this note we discuss subtleties associated with the efficiency corrections for measurements of off-diagonal cumulants and factorial moments for a situation when one deals with overlapping sets of particles, such as correlations between numbers of protons and positively charged particles. In particular, we discuss the situation commonly encountered in heavy-ion experiments, where first all charges are reconstructed and then protons are selected from these charges by an additional particle identification procedure. We present the efficiency correction formulas for the case when the detection efficiencies follow a binomial distribution.

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