Color-Kinematic Numerators for Fermion Compton Amplitudes

Abstract

We introduce a novel approach to compute Compton amplitudes involving a fermion pair inspired by Hopf algebra amplitude constructions. This approach features a recursive relation employing quasi-shuffle sets, directly verifiable by massive factorization properties. We derive results for minimal gauge invariant color-kinematic numerators with physical massive poles using this method. We have also deduced a graphical method for deriving numerators that simplifies the numerator generation and eliminates redundancies, thus providing several computational advantages.

18 pages, 5 figures, version accepted to JHEP

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• New Relations for Gauge-Theory Amplitudes
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Cited by in corpus (1)

• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order