Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills
Abstract Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagran...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)222 |
| _version_ | 1797647512341839872 |
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| author | Maor Ben-Shahar Lucia Garozzo Henrik Johansson |
| author_facet | Maor Ben-Shahar Lucia Garozzo Henrik Johansson |
| author_sort | Maor Ben-Shahar |
| collection | DOAJ |
| description | Abstract Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagrangian formalism. In this work, we present explicit Lagrangians whose Feynman rules generate duality-satisfying tree-level BCJ numerators, to any multiplicity in the next-to-MHV sector of pure Yang-Mills theory. Our Lagrangians make use of at most three pairs of auxiliary fields (2, 1, 0-forms) — surprisingly few compared to previous attempts of Lagrangians at low multiplicities. To restrict the Lagrangian freedom it is necessary to make several non-trivial assumptions regarding field content, kinetic terms, and interactions, which we discuss in some detail. Future progress likely hinges on relaxing these assumptions. |
| first_indexed | 2024-03-11T15:17:15Z |
| format | Article |
| id | doaj.art-db0fa725fd1d46f1ab46f95d38f812a7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:15Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-db0fa725fd1d46f1ab46f95d38f812a72023-10-29T12:11:13ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023814010.1007/JHEP08(2023)222Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-MillsMaor Ben-Shahar0Lucia Garozzo1Henrik Johansson2Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagrangian formalism. In this work, we present explicit Lagrangians whose Feynman rules generate duality-satisfying tree-level BCJ numerators, to any multiplicity in the next-to-MHV sector of pure Yang-Mills theory. Our Lagrangians make use of at most three pairs of auxiliary fields (2, 1, 0-forms) — surprisingly few compared to previous attempts of Lagrangians at low multiplicities. To restrict the Lagrangian freedom it is necessary to make several non-trivial assumptions regarding field content, kinetic terms, and interactions, which we discuss in some detail. Future progress likely hinges on relaxing these assumptions.https://doi.org/10.1007/JHEP08(2023)222Scattering AmplitudesDuality in Gauge Field Theories |
| spellingShingle | Maor Ben-Shahar Lucia Garozzo Henrik Johansson Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills Journal of High Energy Physics Scattering Amplitudes Duality in Gauge Field Theories |
| title | Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills |
| title_full | Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills |
| title_fullStr | Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills |
| title_full_unstemmed | Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills |
| title_short | Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills |
| title_sort | lagrangians manifesting color kinematics duality in the nmhv sector of yang mills |
| topic | Scattering Amplitudes Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP08(2023)222 |
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