Lagrangians Manifesting Color-Kinematics Duality in the NMHV Sector of Yang-Mills
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913181287317504 |
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| author | Ben-Shahar, Maor Garozzo, Lucia Johansson, Henrik |
| author_facet | Ben-Shahar, Maor Garozzo, Lucia Johansson, Henrik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00233 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Lagrangians Manifesting Color-Kinematics Duality in the NMHV Sector of Yang-Mills Ben-Shahar, Maor Garozzo, Lucia Johansson, Henrik High Energy Physics - Theory 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. |
| title | Lagrangians Manifesting Color-Kinematics Duality in the NMHV Sector of Yang-Mills |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2301.00233 |