Kinematic Hopf algebra for amplitudes from higher-derivative operators
Abstract Recently it has been shown that Bern-Carrasco-Johansson (BCJ) numerators of colour-kinematic duality for tree-level scattering amplitudes in Yang-Mills theory (coupled with scalars) can be determined using a quasi-shuffle Hopf algebra. In this paper we consider the same theory, but with hig...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)096 |
| _version_ | 1797276048287596544 |
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| author | Gang Chen Laurentiu Rodina Congkao Wen |
| author_facet | Gang Chen Laurentiu Rodina Congkao Wen |
| author_sort | Gang Chen |
| collection | DOAJ |
| description | Abstract Recently it has been shown that Bern-Carrasco-Johansson (BCJ) numerators of colour-kinematic duality for tree-level scattering amplitudes in Yang-Mills theory (coupled with scalars) can be determined using a quasi-shuffle Hopf algebra. In this paper we consider the same theory, but with higher-derivative corrections of the forms α′F 3 and α′2 F 4, where F is the field strength. In the heavy mass limit of the scalars, we show that the BCJ numerators of these higher-derivative theories are governed by the same Hopf algebra. In particular, the kinematic algebraic structure is unaltered and the derivative corrections only arise when mapping the abstract algebraic generators to physical BCJ numerators. The underlying kinematic Hopf algebra enables us to obtain a compact expression for the BCJ numerators of any number of gluons and two heavy scalars for amplitudes with higher-derivative operators. The pure gluon BCJ numerators can also be obtained from our results by a simple factorisation limit where the massive particles decouple. |
| first_indexed | 2024-03-07T15:22:44Z |
| format | Article |
| id | doaj.art-3c4656c9012e4938a8b9a8e4eeb1f849 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:22:44Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3c4656c9012e4938a8b9a8e4eeb1f8492024-03-05T17:29:47ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024212010.1007/JHEP02(2024)096Kinematic Hopf algebra for amplitudes from higher-derivative operatorsGang Chen0Laurentiu Rodina1Congkao Wen2Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract Recently it has been shown that Bern-Carrasco-Johansson (BCJ) numerators of colour-kinematic duality for tree-level scattering amplitudes in Yang-Mills theory (coupled with scalars) can be determined using a quasi-shuffle Hopf algebra. In this paper we consider the same theory, but with higher-derivative corrections of the forms α′F 3 and α′2 F 4, where F is the field strength. In the heavy mass limit of the scalars, we show that the BCJ numerators of these higher-derivative theories are governed by the same Hopf algebra. In particular, the kinematic algebraic structure is unaltered and the derivative corrections only arise when mapping the abstract algebraic generators to physical BCJ numerators. The underlying kinematic Hopf algebra enables us to obtain a compact expression for the BCJ numerators of any number of gluons and two heavy scalars for amplitudes with higher-derivative operators. The pure gluon BCJ numerators can also be obtained from our results by a simple factorisation limit where the massive particles decouple.https://doi.org/10.1007/JHEP02(2024)096Scattering AmplitudesEffective Field TheoriesGauge Symmetry |
| spellingShingle | Gang Chen Laurentiu Rodina Congkao Wen Kinematic Hopf algebra for amplitudes from higher-derivative operators Journal of High Energy Physics Scattering Amplitudes Effective Field Theories Gauge Symmetry |
| title | Kinematic Hopf algebra for amplitudes from higher-derivative operators |
| title_full | Kinematic Hopf algebra for amplitudes from higher-derivative operators |
| title_fullStr | Kinematic Hopf algebra for amplitudes from higher-derivative operators |
| title_full_unstemmed | Kinematic Hopf algebra for amplitudes from higher-derivative operators |
| title_short | Kinematic Hopf algebra for amplitudes from higher-derivative operators |
| title_sort | kinematic hopf algebra for amplitudes from higher derivative operators |
| topic | Scattering Amplitudes Effective Field Theories Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP02(2024)096 |
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