Superstring amplitudes from BCJ numerators at one loop
Abstract We find a direct map that determines moduli-space integrands for one-loop superstring amplitudes in terms of field-theory loop integrands in the BCJ form. The latter can be computed using efficient unitarity methods, so our map provides an alternative to worldsheet CFT techniques. This cons...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)017 |
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| author | Yvonne Geyer Jiachen Guo Ricardo Monteiro Lecheng Ren |
| author_facet | Yvonne Geyer Jiachen Guo Ricardo Monteiro Lecheng Ren |
| author_sort | Yvonne Geyer |
| collection | DOAJ |
| description | Abstract We find a direct map that determines moduli-space integrands for one-loop superstring amplitudes in terms of field-theory loop integrands in the BCJ form. The latter can be computed using efficient unitarity methods, so our map provides an alternative to worldsheet CFT techniques. This construction is a one-loop higher-point analogue of a recent conjecture for the three-loop four-point superstring amplitude. Based on the one-loop chiral-splitting representation, we show how all the coefficients of an ansatz for the superstring can be identified with field-theory BCJ numerators, up to at least 7-point amplitudes. Moreover, we obtain partial results for all higher-point amplitudes. The monodromy constraints associated to chiral splitting play a crucial role in determining coefficients of the ansatz that, naively, are not fixed by the field-theory limit. Taking a field-theory perspective, our ansatz for the superstring implies by construction the existence of one-loop BCJ numerators at any multiplicity. |
| format | Article |
| id | doaj-art-5b4d0be27ada4e929d9ca068e2247f95 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-5b4d0be27ada4e929d9ca068e2247f952025-08-20T02:11:58ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025313910.1007/JHEP03(2025)017Superstring amplitudes from BCJ numerators at one loopYvonne Geyer0Jiachen Guo1Ricardo Monteiro2Lecheng Ren3Department of Physics, Faculty of Science, Chulalongkorn UniversityCentre 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 LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract We find a direct map that determines moduli-space integrands for one-loop superstring amplitudes in terms of field-theory loop integrands in the BCJ form. The latter can be computed using efficient unitarity methods, so our map provides an alternative to worldsheet CFT techniques. This construction is a one-loop higher-point analogue of a recent conjecture for the three-loop four-point superstring amplitude. Based on the one-loop chiral-splitting representation, we show how all the coefficients of an ansatz for the superstring can be identified with field-theory BCJ numerators, up to at least 7-point amplitudes. Moreover, we obtain partial results for all higher-point amplitudes. The monodromy constraints associated to chiral splitting play a crucial role in determining coefficients of the ansatz that, naively, are not fixed by the field-theory limit. Taking a field-theory perspective, our ansatz for the superstring implies by construction the existence of one-loop BCJ numerators at any multiplicity.https://doi.org/10.1007/JHEP03(2025)017Scattering AmplitudesSuperstrings and Heterotic Strings |
| spellingShingle | Yvonne Geyer Jiachen Guo Ricardo Monteiro Lecheng Ren Superstring amplitudes from BCJ numerators at one loop Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings |
| title | Superstring amplitudes from BCJ numerators at one loop |
| title_full | Superstring amplitudes from BCJ numerators at one loop |
| title_fullStr | Superstring amplitudes from BCJ numerators at one loop |
| title_full_unstemmed | Superstring amplitudes from BCJ numerators at one loop |
| title_short | Superstring amplitudes from BCJ numerators at one loop |
| title_sort | superstring amplitudes from bcj numerators at one loop |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP03(2025)017 |
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