On parton number fluctuations

TL;DR

This paper models parton evolution as a branching diffusion process to analyze fluctuations in parton density, revealing different scattering amplitude behaviors for dipole-nucleus and dipole-dipole interactions at moderate energies.

Contribution

It introduces a detailed description of parton density fluctuations affecting QCD scattering amplitudes, highlighting different functional forms for various scattering scenarios.

Findings

Parton density fluctuations significantly influence scattering amplitudes.

Distinct functional forms are derived for dipole-nucleus and dipole-dipole scattering.

The model provides insights into QCD processes at moderate energies.

Abstract

Parton evolution with the rapidity essentially is a branching diffusion process. We describe the fluctuations of the density of partons which affect the properties of QCD scattering amplitudes at moderately high energies. We arrive at different functional forms of the latter in the case of dipole-nucleus and dipole-dipole scattering.