A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
High Energy Physics - Phenomenology
2015-10-16 v2 High Energy Physics - Theory
Abstract
We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.
Cite
@article{arxiv.1507.08797,
title = {A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory},
author = {Simon Badger and Gustav Mogull and Alexander Ochirov and Donal O'Connell},
journal= {arXiv preprint arXiv:1507.08797},
year = {2015}
}
Comments
23 pages + refs, 4 figures, 2 tables; v2 minor corrections, journal version