A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory

2015/07/31 by Simon Badger, Gustav Mogull, Alexander Ochirov +1 · 1 citation
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep10(2015)064

published as JHEP 1510 (2015) 064 · 23 pages + refs, 4 figures, 2 tables; v2 minor corrections, journal version

arxiv created 2015/09/02 · arxiv updated 2015/10/16

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.

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• Full colour for loop amplitudes in Yang-Mills theory

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