Cumulant to Factorial Moment Ratio and Multiplicity Data

TL;DR

This paper analyzes the behavior of cumulant to factorial moment ratios in high-energy particle collisions, revealing oscillatory patterns that challenge traditional models but align with perturbative QCD predictions, indicating potential scaling properties.

Contribution

It demonstrates that the cumulant to factorial moment ratio exhibits oscillations across various energies and processes, which are not explained by the Negative Binomial Distribution but are consistent with perturbative QCD.

Findings

Oscillatory behavior of the ratio across energies and processes

Negative Binomial Distribution fails to reproduce observed features

Perturbative QCD predicts similar oscillations

Abstract

The ratio of cumulant to factorial moments of experimental multiplicity distributions has been calculated for $e^{+}e^{-}$ and $hh$ interactions in a wide range of energies. As a function of the rank it exhibits an initial steep decrease and a series of oscillations around zero. Those features cannot be reproduced by the Negative Binomial Distribution. A comparable behaviour is instead predicted in high-energy perturbative QCD. The presence of a qualitatively similar behaviour for different processes and in wide energy intervals suggests speaking of an approximate scaling of the cumulant to factorial moment ratio.