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Full Colour for Loop Amplitudes in Yang-Mills Theory

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arxiv 1612.04366 v2 pith:JSFZSYJK submitted 2016-12-13 hep-ph hep-th

Full Colour for Loop Amplitudes in Yang-Mills Theory

classification hep-ph hep-th
keywords yang-millscolourmethodamplitudescasefullintegrandloop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a general method to account for full colour dependence Yang-Mills amplitudes at loop level. The method fits most naturally into the framework of multi-loop integrand reduction and in a nutshell amounts to consistently retaining the colour structures of the unitarity cuts from which the integrand is gradually constructed. This technique has already been used in the recent calculation of the two-loop five-gluon amplitude in pure Yang-Mills theory with all positive helicities, arXiv:1507.08797. In this note, we give a careful exposition of the method and discuss its connection to loop-level Kleiss-Kuijf relations. We also explore its implications for cancellation of nontrivial symmetry factors at two loops. As an example of its generality, we show how it applies to the three-loop case in supersymmetric Yang-Mills case.

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