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

Understand

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.