Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections

TL;DR

This paper investigates how running coupling and pomeron loop effects influence inclusive and diffractive deep inelastic scattering cross sections using a simplified 1+1 dimensional QCD-like model, highlighting the suppression of diffusive scaling.

Contribution

It introduces a comparative analysis of fixed and running coupling effects on scattering cross sections within a simplified high-energy QCD model, including pomeron loop effects.

Findings

Running coupling suppresses diffusive scaling in diffractive scattering.

Pomeron loop effects include gluon number fluctuations in the evolution.

Both fixed and running coupling cases are analyzed within the mean field and loop frameworks.

Abstract

Within the framework of a (1+1)--dimensional model which mimics high energy QCD, we study the behavior of the cross sections for inclusive and diffractive deep inelastic $\gamma^*h$ scattering cross sections. We analyze the cases of both fixed and running coupling within the mean field approximation, in which the evolution of the scattering amplitude is described by the Balitsky-Kovchegov equation, and also through the pomeron loop equations, which include in the evolution the gluon number fluctuations. In the diffractive case, similarly to the inclusive one, the suppression of the diffusive scaling, as a consequence of the inclusion of the running of the coupling, is observed.