Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD

TL;DR

This paper uses lattice QCD and analytic continuation of Wilson-loop correlators to explore the high-energy behavior of hadronic total cross sections, suggesting a universal B log^2 s dependence at asymptotic energies.

Contribution

It introduces a nonperturbative lattice QCD approach to analyze the asymptotic energy dependence of hadronic cross sections, supporting a universal B log^2 s behavior.

Findings

Indications of a universal asymptotic behavior of total cross sections.

Best fits of lattice data support B log^2 s dependence.

Results align with theoretical expectations for high-energy scattering.

Abstract

The nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Wilson-loop correlation functions from Euclidean to Minkowskian theory, allows to investigate the asymptotic energy dependence of hadron-hadron total cross sections in lattice QCD. In this paper we will show, using best fits of the lattice data with proper functional forms satisfying unitarity and other physical constraints, how indications emerge in favor of a universal asymptotic high-energy behavior of the kind B log^2 s for hadronic total cross sections.