Color-kinematic numerators for fermion Compton amplitudes

Autor: N. Emil J. Bjerrum-Bohr, Gang Chen, Yuchan Miao, Marcos Skowronek
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-16 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2024)242
Popis: 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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