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

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.

preprint2015arXivOpen access
Simon BadgerGustav MogullAlexander OchirovDonal O'Connell
hep-phhep-th
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Simon BadgerGustav MogullAlexander OchirovDonal O'Connell

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