The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion
Abstract We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in d = 4 − 2ε dimensions is established in terms of four Gauss hypergeometric 2F1 functions respectively their...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2023)059 |
| _version_ | 1827859772563521536 |
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| author | Juliane Haug Fabian Wunder |
| author_facet | Juliane Haug Fabian Wunder |
| author_sort | Juliane Haug |
| collection | DOAJ |
| description | Abstract We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in d = 4 − 2ε dimensions is established in terms of four Gauss hypergeometric 2F1 functions respectively their single-valued counterparts. This allows for an explicit splitting of real and imaginary parts, as well as an all-order ε-expansion in terms of single-valued polylogarithms. |
| first_indexed | 2024-03-12T13:14:25Z |
| format | Article |
| id | doaj.art-493ad205d857489183d9226fc8a64f30 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:14:25Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-493ad205d857489183d9226fc8a64f302023-08-27T11:05:28ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-01202351910.1007/JHEP05(2023)059The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansionJuliane Haug0Fabian Wunder1Institut für Theoretische Physik, Universität Tübingen, Kepler Center for Astro and Particle PhysicsInstitut für Theoretische Physik, Universität Tübingen, Kepler Center for Astro and Particle PhysicsAbstract We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in d = 4 − 2ε dimensions is established in terms of four Gauss hypergeometric 2F1 functions respectively their single-valued counterparts. This allows for an explicit splitting of real and imaginary parts, as well as an all-order ε-expansion in terms of single-valued polylogarithms.https://doi.org/10.1007/JHEP05(2023)059Higher-Order Perturbative CalculationsRenormalization and RegularizationDeep Inelastic Scattering or Small-x Physics |
| spellingShingle | Juliane Haug Fabian Wunder The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion Journal of High Energy Physics Higher-Order Perturbative Calculations Renormalization and Regularization Deep Inelastic Scattering or Small-x Physics |
| title | The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion |
| title_full | The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion |
| title_fullStr | The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion |
| title_full_unstemmed | The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion |
| title_short | The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion |
| title_sort | massless non adjacent double off shell scalar box integral branch cut structure and all order epsilon expansion |
| topic | Higher-Order Perturbative Calculations Renormalization and Regularization Deep Inelastic Scattering or Small-x Physics |
| url | https://doi.org/10.1007/JHEP05(2023)059 |
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