The Odderon in QCD with running coupling

TL;DR

This paper investigates the Odderon in QCD by incorporating a running coupling and infrared cutoff, finding that the fixed cut solution with intercept one remains stable, suggesting a persistent physical Odderon.

Contribution

It introduces a method to include running coupling and infrared cutoff in Odderon analysis, extending perturbative solutions towards nonperturbative regimes.

Findings

Fixed cut solution with intercept one persists

Odderon has a small t-slope

Supports the physical relevance of the Odderon with intercept one

Abstract

Starting from the leading Odderon solution of the three gluon system in perturbative QCD we introduce, as a first step towards the transition to the nonperturbative region, an infrared cutoff and use the running QCD coupling constant. In our numerical analysis we find that the fixed cut solution with intercept one persists, hinting at a physical Odderon with intercept one and a small t-slope.