Color-Kinematic Numerators for Fermion Compton Amplitudes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911970443132928 |
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| author | Bjerrum-Bohr, N. Emil J. Chen, Gang Miao, Yuchan Skowronek, Marcos |
| author_facet | Bjerrum-Bohr, N. Emil J. Chen, Gang Miao, Yuchan Skowronek, Marcos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15265 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Color-Kinematic Numerators for Fermion Compton Amplitudes Bjerrum-Bohr, N. Emil J. Chen, Gang Miao, Yuchan Skowronek, Marcos High Energy Physics - Theory 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. |
| title | Color-Kinematic Numerators for Fermion Compton Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.15265 |