QCD Contributions to the Froissart bound for the total cross-section

TL;DR

This paper investigates how infrared soft gluons influence the high-energy limit of total cross-sections in QCD, proposing a model that satisfies the Froissart bound through a specific infrared behavior of the coupling constant.

Contribution

It introduces a phenomenological model linking infrared soft gluon effects to the Froissart bound, using a singular yet integrable strong coupling expression.

Findings

Infrared soft gluons significantly affect the asymptotic total cross-section behavior.

A specific infrared coupling model satisfies the Froissart bound.

The approach provides a phenomenological example connecting QCD dynamics to high-energy bounds.

Abstract

We discuss the effect of infrared soft gluons on the asymptotic behaviour of the total cross-section. We use a singular but integrable expression for the strong coupling constant in the infrared limit and relate its behaviour to the satisfaction of the Froissart bound, giving a specific phenomenological example.