Multiplicity dependent and non-binomial efficiency corrections for particle number cumulants

TL;DR

This paper extends existing methods for correcting particle number cumulants by addressing multiplicity-dependent efficiencies and non-binomial efficiency distributions, proposing straightforward correction techniques.

Contribution

It introduces new correction methods for cumulants that account for complex efficiency dependencies and distributions, improving accuracy over previous approaches.

Findings

Addresses limitations of previous efficiency correction methods.

Proposes simple methods for multiplicity-dependent efficiency corrections.

Extends correction techniques to non-binomial efficiency distributions.

Abstract

In this note we extend previous work on efficiency corrections for cumulant measurements [1,2]. We will discuss the limitations of the methods presented in these papers. Specifically we will consider multiplicity dependent efficiencies as well as a non-binomial efficiency distributions. We will discuss the most simple and straightforward methods to implement those corrections.