Color-Kinematic Numerators for Fermion Compton Amplitudes

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

Color-Kinematic Numerators for Fermion Compton Amplitudes

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arxiv 2404.15265 v2 pith:ZEKSNRSW submitted 2024-04-23 hep-th

N. Emil J. Bjerrum-Bohr , Gang Chen , Yuchan Miao , Marcos Skowronek This is my paper · ORCID

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keywords numeratorsamplitudesapproachcolor-kinematiccomptonfermionmassivemethod

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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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HEFT Numerators from Kinematic Algebra
hep-th 2025-01 conditional novelty 6.0 of 10

The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

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