One-loop hexagon integral to higher orders in the dimensional regulator
Abstract The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)096 |
| _version_ | 1827957063147323392 |
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| author | Johannes M. Henn Antonela Matijašić Julian Miczajka |
| author_facet | Johannes M. Henn Antonela Matijašić Julian Miczajka |
| author_sort | Johannes M. Henn |
| collection | DOAJ |
| description | Abstract The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general D-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude applications. We also study in detail the difference between the conventional dimensional regularization and the four-dimensional helicity scheme at the level of the master integrals and their function space. |
| first_indexed | 2024-04-09T15:13:12Z |
| format | Article |
| id | doaj.art-b4623128920d4b1a9028c892ae016ec5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:12Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b4623128920d4b1a9028c892ae016ec52023-04-30T11:05:13ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023113410.1007/JHEP01(2023)096One-loop hexagon integral to higher orders in the dimensional regulatorJohannes M. Henn0Antonela Matijašić1Julian Miczajka2Max-Planck-Institut für Physik, Werner-Heisenberg-InstitutMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutAbstract The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general D-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude applications. We also study in detail the difference between the conventional dimensional regularization and the four-dimensional helicity scheme at the level of the master integrals and their function space.https://doi.org/10.1007/JHEP01(2023)096Differential and Algebraic GeometryHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | Johannes M. Henn Antonela Matijašić Julian Miczajka One-loop hexagon integral to higher orders in the dimensional regulator Journal of High Energy Physics Differential and Algebraic Geometry Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | One-loop hexagon integral to higher orders in the dimensional regulator |
| title_full | One-loop hexagon integral to higher orders in the dimensional regulator |
| title_fullStr | One-loop hexagon integral to higher orders in the dimensional regulator |
| title_full_unstemmed | One-loop hexagon integral to higher orders in the dimensional regulator |
| title_short | One-loop hexagon integral to higher orders in the dimensional regulator |
| title_sort | one loop hexagon integral to higher orders in the dimensional regulator |
| topic | Differential and Algebraic Geometry Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2023)096 |
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