Color-kinematic numerators for fermion Compton amplitudes
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 min...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2024)242 |
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| _version_ | 1850203933467738112 |
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| author | N. Emil J. Bjerrum-Bohr Gang Chen Yuchan Miao Marcos Skowronek |
| author_facet | N. Emil J. Bjerrum-Bohr Gang Chen Yuchan Miao Marcos Skowronek |
| author_sort | N. Emil J. Bjerrum-Bohr |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c771592fc55d4ad782f05efd40acef6f |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c771592fc55d4ad782f05efd40acef6f2025-08-20T02:11:23ZengSpringerOpenJournal of High Energy Physics1029-84792024-07-012024711610.1007/JHEP07(2024)242Color-kinematic numerators for fermion Compton amplitudesN. Emil J. Bjerrum-Bohr0Gang Chen1Yuchan Miao2Marcos Skowronek3Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenDepartment of Physics, Brown UniversityAbstract 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.https://doi.org/10.1007/JHEP07(2024)242Scattering AmplitudesGauge Symmetry |
| spellingShingle | N. Emil J. Bjerrum-Bohr Gang Chen Yuchan Miao Marcos Skowronek Color-kinematic numerators for fermion Compton amplitudes Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry |
| title | Color-kinematic numerators for fermion Compton amplitudes |
| title_full | Color-kinematic numerators for fermion Compton amplitudes |
| title_fullStr | Color-kinematic numerators for fermion Compton amplitudes |
| title_full_unstemmed | Color-kinematic numerators for fermion Compton amplitudes |
| title_short | Color-kinematic numerators for fermion Compton amplitudes |
| title_sort | color kinematic numerators for fermion compton amplitudes |
| topic | Scattering Amplitudes Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP07(2024)242 |
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