We consider the three-loop scattering amplitudes for the production of a pair of photons in quark-antiquark annihilation in Quantum Chromodynamics (QCD). We use suitably defined projectors to efficiently calculate all helicity amplitudes. We obtain relatively compact analytic results, that we write in terms of harmonic polylogarithms or, alternatively, multiple polylogarithms of up to depth three. This is the first calculation of a three-loop four-point scattering amplitude in full QCD.
@article{arxiv.2011.13946,
title = {Di-photon amplitudes in three-loop Quantum Chromodynamics},
author = {Fabrizio Caola and Andreas von Manteuffel and Lorenzo Tancredi},
journal= {arXiv preprint arXiv:2011.13946},
year = {2021}
}
Comments
10 pages, 2 figures, results in the ancillary files