On the photon self-energy to three loops in QED
Abstract We compute the photon self-energy to three loops in Quantum Electrodynamics. The method of differential equations for Feynman integrals and a complete ϵ-factorization of the former allow us to obtain fully analytical results in terms of iterated integrals involving integration kernels relat...
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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)148 |
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| author | Felix Forner Christoph Nega Lorenzo Tancredi |
| author_facet | Felix Forner Christoph Nega Lorenzo Tancredi |
| author_sort | Felix Forner |
| collection | DOAJ |
| description | Abstract We compute the photon self-energy to three loops in Quantum Electrodynamics. The method of differential equations for Feynman integrals and a complete ϵ-factorization of the former allow us to obtain fully analytical results in terms of iterated integrals involving integration kernels related to a K3 geometry. We argue that our basis has the right properties to be a natural generalization of a canonical basis beyond the polylogarithmic case and we show that many of the kernels appearing in the differential equations, cancel out in the final result to finite order in ϵ. We further provide generalized series expansions that cover the whole kinematic space so that our results for the self-energy may be easily evaluated numerically for all values of the momentum squared. From the local solution at p 2 = 0, we extract the photon wave function renormalization constant in the on-shell scheme to three loops and confirm its agreement with previously obtained results. |
| format | Article |
| id | doaj-art-ead2d37b59bb456f92f761f2fe26c4de |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ead2d37b59bb456f92f761f2fe26c4de2025-08-20T03:06:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025313210.1007/JHEP03(2025)148On the photon self-energy to three loops in QEDFelix Forner0Christoph Nega1Lorenzo Tancredi2Physics Department, TUM School of Natural Sciences, Technical University of MunichPhysics Department, TUM School of Natural Sciences, Technical University of MunichPhysics Department, TUM School of Natural Sciences, Technical University of MunichAbstract We compute the photon self-energy to three loops in Quantum Electrodynamics. The method of differential equations for Feynman integrals and a complete ϵ-factorization of the former allow us to obtain fully analytical results in terms of iterated integrals involving integration kernels related to a K3 geometry. We argue that our basis has the right properties to be a natural generalization of a canonical basis beyond the polylogarithmic case and we show that many of the kernels appearing in the differential equations, cancel out in the final result to finite order in ϵ. We further provide generalized series expansions that cover the whole kinematic space so that our results for the self-energy may be easily evaluated numerically for all values of the momentum squared. From the local solution at p 2 = 0, we extract the photon wave function renormalization constant in the on-shell scheme to three loops and confirm its agreement with previously obtained results.https://doi.org/10.1007/JHEP03(2025)148Precision QEDScattering AmplitudesDifferential and Algebraic GeometryRenormalization and Regularization |
| spellingShingle | Felix Forner Christoph Nega Lorenzo Tancredi On the photon self-energy to three loops in QED Journal of High Energy Physics Precision QED Scattering Amplitudes Differential and Algebraic Geometry Renormalization and Regularization |
| title | On the photon self-energy to three loops in QED |
| title_full | On the photon self-energy to three loops in QED |
| title_fullStr | On the photon self-energy to three loops in QED |
| title_full_unstemmed | On the photon self-energy to three loops in QED |
| title_short | On the photon self-energy to three loops in QED |
| title_sort | on the photon self energy to three loops in qed |
| topic | Precision QED Scattering Amplitudes Differential and Algebraic Geometry Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP03(2025)148 |
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