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Publication details for Simon Badger

Badger, Simon, Mogull, Gustav, Ochirov, Alexander & O’Connell, Donal (2015). A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory. Journal of High Energy Physics 2015(10): 64.

Author(s) from Durham


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.