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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Acknowledgments
The work of N.E.J.B.-B. and G.C. was supported by the DFF grant 1026-00077B and partially by the Carlsberg Foundation. G.C. has received funding from the Marie Sklodowska-Curie grant agreement No. 847523 “INTERACTIONS” under the European Union Horizon 2020 research and innovation program.
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Bjerrum-Bohr, N.E.J., Chen, G., Miao, Y. et al. Color-kinematic numerators for fermion Compton amplitudes. J. High Energ. Phys. 2024, 242 (2024). https://doi.org/10.1007/JHEP07(2024)242
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DOI: https://doi.org/10.1007/JHEP07(2024)242