On differential operators and unifying relations for 1-loop Feynman integrands
Abstract We generalize the unifying relations for tree amplitudes to the 1-loop Feynman integrands. By employing the 1-loop CHY formula, we construct differential operators which transmute the 1-loop gravitational Feynman integrand to Feynman integrands for a wide range of theories, including Einste...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2021)150 |
| _version_ | 1823959034636533760 |
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| author | Kang Zhou |
| author_facet | Kang Zhou |
| author_sort | Kang Zhou |
| collection | DOAJ |
| description | Abstract We generalize the unifying relations for tree amplitudes to the 1-loop Feynman integrands. By employing the 1-loop CHY formula, we construct differential operators which transmute the 1-loop gravitational Feynman integrand to Feynman integrands for a wide range of theories, including Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory, bi-adjoint scalar theory, non-linear sigma model, as well as special Galileon theory. The unified web at 1-loop level is established. Under the well known unitarity cut, the 1-loop level operators will factorize into two tree level operators. Such factorization is also discussed. |
| first_indexed | 2024-12-17T16:26:14Z |
| format | Article |
| id | doaj.art-f535d4413b504c21a0487b7c17894933 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T16:26:14Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f535d4413b504c21a0487b7c178949332022-12-21T21:41:23ZengSpringerOpenJournal of High Energy Physics1029-84792021-10-0120211014110.1007/JHEP10(2021)150On differential operators and unifying relations for 1-loop Feynman integrandsKang Zhou0Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract We generalize the unifying relations for tree amplitudes to the 1-loop Feynman integrands. By employing the 1-loop CHY formula, we construct differential operators which transmute the 1-loop gravitational Feynman integrand to Feynman integrands for a wide range of theories, including Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory, bi-adjoint scalar theory, non-linear sigma model, as well as special Galileon theory. The unified web at 1-loop level is established. Under the well known unitarity cut, the 1-loop level operators will factorize into two tree level operators. Such factorization is also discussed.https://doi.org/10.1007/JHEP10(2021)150Scattering AmplitudesGauge Symmetry |
| spellingShingle | Kang Zhou On differential operators and unifying relations for 1-loop Feynman integrands Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry |
| title | On differential operators and unifying relations for 1-loop Feynman integrands |
| title_full | On differential operators and unifying relations for 1-loop Feynman integrands |
| title_fullStr | On differential operators and unifying relations for 1-loop Feynman integrands |
| title_full_unstemmed | On differential operators and unifying relations for 1-loop Feynman integrands |
| title_short | On differential operators and unifying relations for 1-loop Feynman integrands |
| title_sort | on differential operators and unifying relations for 1 loop feynman integrands |
| topic | Scattering Amplitudes Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP10(2021)150 |
| work_keys_str_mv | AT kangzhou ondifferentialoperatorsandunifyingrelationsfor1loopfeynmanintegrands |