# Particle-Set Identification method to study multiplicity fluctuations

## TL;DR

The paper introduces the Particle-Set Identification method, a novel approach for analyzing experimental data to reconstruct multiplicity distribution moments of particles despite incomplete identification, even accounting for correlations.

## Contribution

It presents a new method that improves upon previous techniques by handling correlations and incomplete particle identification in multiplicity fluctuation studies.

## Key findings

- Enables reconstruction of multiplicity moments with incomplete particle ID
- Handles correlations between mass measurements effectively
- Valid for various particle types and experimental conditions

## Abstract

In this paper a new method of experimental data analysis, the Particle-Set Identification method, is presented. The method allows to reconstruct moments of multiplicity distribution of identified particles. The difficulty the method copes with is due to incomplete particle identification -- a particle mass is frequently determined with a resolution which does not allow for a unique determination of the particle type. Within this method the moments of order $k$ are calculated from mean multiplicities of $k$-particle sets of a given type. The Particle-Set Identification method remains valid even in the case of correlations between mass measurements for different particles. This distinguishes it from the Identity method introduced by us previously to solve the problem of incomplete particle identification in studies of particle fluctuations.