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arXiv · 1507.08797

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

Simon Badger·Gustav Mogull·Alexander Ochirov·Donal O'Connell
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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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Simon Badger, Gustav Mogull, Alexander Ochirov, Donal O'Connell. 2015-09-02. A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory. https://doi.org/10.1007/jhep10(2015)064

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