Oscillations of factorial cumulants to factorial moments ratio from an eikonal approach

TL;DR

This paper uses an eikonal model to analyze factorial moments and cumulants in proton-proton collisions, successfully reproducing energy dependence and oscillations observed in experimental data, and predicts outcomes at LHC energies.

Contribution

It introduces an updated eikonal approach incorporating QCD-inspired interactions to model multiplicity distributions and factorial cumulant ratios in high-energy collisions.

Findings

Reproduces energy dependence of factorial moments

Predicts the first minimum of Hq at q=5

Qualitatively reproduces oscillations of Hq moments

Abstract

We study the factorial moments (Fq), the factorial cumulants (Kq) and the ratio of Kq to Fq (Hq = Kq=Fq) in pp/pp collisions using an updated approach, in which the multiplicity distribution is related to the eikonal function. The QCD inspired eikonal model adopted contains contributions of quark-quark, quark-gluon and gluon-gluon interactions. Our work shows that the approach can reproduce the collision energy dependence of the Fq moments, correctly predicts that the first minimum of the Hq lies around q = 5 and qualitatively reproduces the oscillations of the Hq moments, as shown in the experimental data and predicted by QCD at preasymptotic energy. The result of this study seems to indicate that the Hq oscillations are manifestation of semihard component in the multiparticle production process. Predictions for multiplicity distribution and Hq moments at the LHC energy of 14 TeV are presented.