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arXiv · 2404.15265

Color-Kinematic Numerators for Fermion Compton Amplitudes

N. Emil J. Bjerrum-Bohr·Gang Chen·Yuchan Miao·Marcos Skowronek
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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.

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N. Emil J. Bjerrum-Bohr, Gang Chen, Yuchan Miao, Marcos Skowronek. 2024-04-23. Color-Kinematic Numerators for Fermion Compton Amplitudes. https://doi.org/10.1007/jhep07(2024)242

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