Three-loop gluon scattering in QCD and the gluon Regge trajectory
High Energy Physics - Phenomenology
2023-11-30 v2 High Energy Physics - Theory
Abstract
We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep the computational complexity under control. We obtain relatively compact results that can be expressed in terms of harmonic polylogarithms. In addition, we consider the Regge limit of our amplitude and extract the gluon Regge trajectory in full three-loop QCD. This is the last missing ingredient required for studying single-Reggeon exchanges at next-to-next-to-leading logarithmic accuracy.
Cite
@article{arxiv.2112.11097,
title = {Three-loop gluon scattering in QCD and the gluon Regge trajectory},
author = {Fabrizio Caola and Amlan Chakraborty and Giulio Gambuti and Andreas von Manteuffel and Lorenzo Tancredi},
journal= {arXiv preprint arXiv:2112.11097},
year = {2023}
}
Comments
12 pages, 1 figure; v2: minor corrections