Diphoton Amplitudes in Three-Loop Quantum Chromodynamics
Abstract
We consider the three-loop scattering amplitudes for the production of a pair of photons in quark-antiquark annihilation in 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- March 2021
- DOI:
- 10.1103/PhysRevLett.126.112004
- arXiv:
- arXiv:2011.13946
- Bibcode:
- 2021PhRvL.126k2004C
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 10 pages, 2 figures, results in the ancillary files