Multiplicity distributions in gravitational and strong interactions

TL;DR

This paper reveals that multiplicity distributions in gravitational fields and high-energy particle collisions share a common mathematical structure, classified by $SU(1,1)$ representations, and suggests a universal asymptotic behavior.

Contribution

It establishes a connection between gravitational and particle physics multiplicity distributions using group theory, providing a new classification framework.

Findings

Distributions are infinitely divisible and belong to the same class across different interactions.

Classification based on positive discrete representations of $SU(1,1)$.

Proposes a high-energy asymptote for collider multiplicity distributions.

Abstract

The multiplicity distributions produced by the variation of time-dependent gravitational fields in a conformally flat background geometry belong to the same class of infinitely divisible distributions found, for fixed centre of mass energies and symmetric (pseudo)rapidity intervals, in charged multiplicities produced in $pp$, $p\overline{p}$ and in heavy ion collisions. Apparently unrelated multiplicity distributions are classified in terms of the (positive) discrete representations of the $SU(1,1)$ group. The gravitational analogy suggest a global high-energy asymptote for the distributions measured in $pp$ and $p\overline{p}$ collisions. Second-order cross correlations between positively and negatively charged distributions represent a relevant diagnostic for a closer scrutiny of the multiparticle final state.