Total Cross-sections at very high energies: from protons to photons

TL;DR

This paper introduces a unified model for proton and photon total cross-sections at high energies, combining QCD mini-jets and soft gluon resummation to accurately describe the energy dependence and tame the rise of cross-sections.

Contribution

It presents a novel eikonal-based model that incorporates infrared gluon spectrum effects to improve predictions of high-energy total cross-sections for protons and photons.

Findings

Model agrees with experimental data across a wide energy range.

Soft gluon resummation effectively moderates the cross-section increase.

Provides insights into high-energy behavior of total cross-sections.

Abstract

A model for both proton and photon total cross-sections is presented and compared with data. The model is based on the eikonal representation, with QCD mini-jets to drive the rise and soft gluon kt-resummation into the Infrared region to tame the excessive rise due to low-x perturbative gluons. We discuss the effects of a singular but integrable expression for the Infrared gluon spectrum on the high energy behaviour of the total cross-section expected in this model.