Infrared anomalous dimensions at three-loop in the SM from conserved currents
Abstract We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for all gauge groups and particles of the theory. We obse...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)050 |
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| author | Michael Stadlbauer Tobias Theil |
| author_facet | Michael Stadlbauer Tobias Theil |
| author_sort | Michael Stadlbauer |
| collection | DOAJ |
| description | Abstract We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for all gauge groups and particles of the theory. We observe that starting from three loops, the resulting cusp anomalous dimensions include terms involving two distinct couplings, contrary to previous claims in the literature. We give a detailed explanation of this observation and explore the origin of these terms. We provide a supplementary file where all infrared anomalous dimensions calculated in this work are collected https://github.com/michael-stadlbauer/AnomalousDimensions.git . Our results are consistent with the existing literature wherever comparisons are possible. |
| format | Article |
| id | doaj-art-cfa6d80df84a45f4808895386c6088b9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cfa6d80df84a45f4808895386c6088b92025-01-19T12:07:01ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113010.1007/JHEP01(2025)050Infrared anomalous dimensions at three-loop in the SM from conserved currentsMichael Stadlbauer0Tobias Theil1TUM School of Natural Sciences, Physics Department, Technical University of MunichTUM School of Natural Sciences, Physics Department, Technical University of MunichAbstract We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for all gauge groups and particles of the theory. We observe that starting from three loops, the resulting cusp anomalous dimensions include terms involving two distinct couplings, contrary to previous claims in the literature. We give a detailed explanation of this observation and explore the origin of these terms. We provide a supplementary file where all infrared anomalous dimensions calculated in this work are collected https://github.com/michael-stadlbauer/AnomalousDimensions.git . Our results are consistent with the existing literature wherever comparisons are possible.https://doi.org/10.1007/JHEP01(2025)050FactorizationRenormalization GroupHigher-Order Perturbative CalculationsRenormalization and Regularization |
| spellingShingle | Michael Stadlbauer Tobias Theil Infrared anomalous dimensions at three-loop in the SM from conserved currents Journal of High Energy Physics Factorization Renormalization Group Higher-Order Perturbative Calculations Renormalization and Regularization |
| title | Infrared anomalous dimensions at three-loop in the SM from conserved currents |
| title_full | Infrared anomalous dimensions at three-loop in the SM from conserved currents |
| title_fullStr | Infrared anomalous dimensions at three-loop in the SM from conserved currents |
| title_full_unstemmed | Infrared anomalous dimensions at three-loop in the SM from conserved currents |
| title_short | Infrared anomalous dimensions at three-loop in the SM from conserved currents |
| title_sort | infrared anomalous dimensions at three loop in the sm from conserved currents |
| topic | Factorization Renormalization Group Higher-Order Perturbative Calculations Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP01(2025)050 |
| work_keys_str_mv | AT michaelstadlbauer infraredanomalousdimensionsatthreeloopinthesmfromconservedcurrents AT tobiastheil infraredanomalousdimensionsatthreeloopinthesmfromconservedcurrents |