Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy
Abstract Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2017)002 |
| _version_ | 1818178574817951744 |
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| author | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban |
| author_facet | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban |
| author_sort | Marco Chiodaroli |
| collection | DOAJ |
| description | Abstract Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of color-ordered Yang-Mills trees, where the coefficients are given by color/kinematics-satisfying numerators in a Yang-Mills + ϕ 3 theory. The construction outlined in this paper holds in general dimension and extends straightforwardly to supergravity theories. For one, two, and three external gravitons, our expressions give identical or simpler presentations of amplitudes already constructed through string-theory considerations or the scattering equations formalism. Our results are based on color/kinematics duality and gauge invariance, and strongly hint at a recursive structure underlying the single-trace amplitudes with an arbitrary number of gravitons. We also present explicit expressions for all-loop single-graviton Einstein-Yang-Mills amplitudes in terms of Yang-Mills amplitudes and, through gauge invariance, derive new all-loop amplitude relations for Yang-Mills theory. |
| first_indexed | 2024-12-11T20:50:09Z |
| format | Article |
| id | doaj.art-654a3eb030e84a86b99b7e5b97c49404 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T20:50:09Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-654a3eb030e84a86b99b7e5b97c494042022-12-22T00:51:14ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017713310.1007/JHEP07(2017)002Explicit formulae for Yang-Mills-Einstein amplitudes from the double copyMarco Chiodaroli0Murat Günaydin1Henrik Johansson2Radu Roiban3Department of Physics and Astronomy, Uppsala UniversityInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityDepartment of Physics and Astronomy, Uppsala UniversityInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityAbstract Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of color-ordered Yang-Mills trees, where the coefficients are given by color/kinematics-satisfying numerators in a Yang-Mills + ϕ 3 theory. The construction outlined in this paper holds in general dimension and extends straightforwardly to supergravity theories. For one, two, and three external gravitons, our expressions give identical or simpler presentations of amplitudes already constructed through string-theory considerations or the scattering equations formalism. Our results are based on color/kinematics duality and gauge invariance, and strongly hint at a recursive structure underlying the single-trace amplitudes with an arbitrary number of gravitons. We also present explicit expressions for all-loop single-graviton Einstein-Yang-Mills amplitudes in terms of Yang-Mills amplitudes and, through gauge invariance, derive new all-loop amplitude relations for Yang-Mills theory.http://link.springer.com/article/10.1007/JHEP07(2017)002Scattering AmplitudesSupergravity ModelsSupersymmetric Gauge Theory |
| spellingShingle | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy Journal of High Energy Physics Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| title | Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy |
| title_full | Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy |
| title_fullStr | Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy |
| title_full_unstemmed | Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy |
| title_short | Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy |
| title_sort | explicit formulae for yang mills einstein amplitudes from the double copy |
| topic | Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2017)002 |
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