Soft Gluon kt-Resummation and the Froissart bound

TL;DR

This paper investigates how soft gluon kt-resummation and the infrared behavior of the strong coupling constant influence the energy dependence of total hadronic cross-sections, ensuring consistency with the Froissart bound.

Contribution

It introduces a model linking the infrared behavior of the strong coupling to the energy growth of cross-sections, aligning with the Froissart bound.

Findings

Predictions for asymptotic cross-section behavior based on inverse power law coupling.

The model maintains consistency with the Froissart bound at high energies.

Infrared behavior of the strong coupling impacts total cross-section energy dependence.

Abstract

We study soft gluon kt-resummation and the relevance of zero momentum gluons for the energy dependence of total hadronic cross-sections. We discuss a model in which consistency of the energy dependence of the cross-section with the limitation of the Froissart bound, is directly related to the behaviour of the strong coupling constant in the infrared region. Our predictions for the asymptotic behaviour are shown to be related to the ansatz that the infrared behaviour of the QCD strong coupling constant follows an inverse power law.