QCD Nuclear Factor and the Moments of the Multiplicity Distributions in High-Order Perturbative Gluodynamics

TL;DR

This paper advances the theoretical understanding of multiplicity distributions in high-energy nuclear collisions by solving gluodynamics equations up to high perturbative orders and comparing results with experimental data.

Contribution

It provides a detailed perturbative QCD calculation of the nuclear factor and moments of multiplicity distributions up to 3NLO, linking theory with experimental observations.

Findings

Theoretical predictions match experimental data for p-Pb and Pb-Pb collisions.

Higher-order perturbative calculations improve the accuracy of multiplicity distribution models.

The relationship between nuclear factor and moments is quantitatively analyzed.

Abstract

The equation of gluodynamics with modified integral kernel is solved up to 2NLO (next-to-next-to-leading order) and 3NLO (next-to-next-to-next-to-leading order) in perturbative QCD. A relationship between the nuclear factor Ns and the ratio of the cumulant and factorial moments of the multiplicity distribution is examined. A comparison of theoretical results and experimental data in p-Pb and Pb-Pb collisions at 200A GeV and 546A GeV is carried out.