Bananas of equal mass: any loop, any order in the dimensional regularisation parameter
Abstract We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the expansion in the dimensional regularisation paramete...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)117 |
| _version_ | 1797769746782879744 |
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| author | Sebastian Pögel Xing Wang Stefan Weinzierl |
| author_facet | Sebastian Pögel Xing Wang Stefan Weinzierl |
| author_sort | Sebastian Pögel |
| collection | DOAJ |
| description | Abstract We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the expansion in the dimensional regularisation parameter ε for any loop l. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality. |
| first_indexed | 2024-03-12T21:12:28Z |
| format | Article |
| id | doaj.art-f016aae2d1ad4f0197a73875508d4712 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:28Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f016aae2d1ad4f0197a73875508d47122023-07-30T11:05:08ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413410.1007/JHEP04(2023)117Bananas of equal mass: any loop, any order in the dimensional regularisation parameterSebastian Pögel0Xing Wang1Stefan Weinzierl2PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität MainzORIGINS Cluster of Excellence, Physik Department, Technische Universität MünchenPRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität MainzAbstract We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the expansion in the dimensional regularisation parameter ε for any loop l. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality.https://doi.org/10.1007/JHEP04(2023)117Differential and Algebraic GeometryHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | Sebastian Pögel Xing Wang Stefan Weinzierl Bananas of equal mass: any loop, any order in the dimensional regularisation parameter Journal of High Energy Physics Differential and Algebraic Geometry Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | Bananas of equal mass: any loop, any order in the dimensional regularisation parameter |
| title_full | Bananas of equal mass: any loop, any order in the dimensional regularisation parameter |
| title_fullStr | Bananas of equal mass: any loop, any order in the dimensional regularisation parameter |
| title_full_unstemmed | Bananas of equal mass: any loop, any order in the dimensional regularisation parameter |
| title_short | Bananas of equal mass: any loop, any order in the dimensional regularisation parameter |
| title_sort | bananas of equal mass any loop any order in the dimensional regularisation parameter |
| topic | Differential and Algebraic Geometry Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP04(2023)117 |
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