Identity Method for the Determination of the Moments of Multiplicity Distributions

TL;DR

This paper extends the identity method to calculate higher moments of multiplicity distributions from event data, accounting for incomplete particle identification, by reducing the problem to solving linear equations.

Contribution

The paper introduces an extension of the identity method to higher moments, enabling more comprehensive analysis of multiplicity distributions with incomplete identification.

Findings

Method successfully calculates higher moments from smeared distributions.

Reduction to linear equations simplifies the computational process.

Applicable to event-by-event particle measurement data.

Abstract

Recently the identity method was proposed to calculate second moments of the multiplicity distributions from event-by-event measurements in the presence of the effects of incomplete particle identification. In this paper the method is extended for higher moments. The moments of smeared multiplicity distributions are calculated using single-particle identity variables. The problem of finding the moments of the multiplicity distributions is reduced to solving of a system of linear equations.