Renormalization-group equations of the LEFT at two loops: dimension-five effects
Abstract We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with generic mass matrices. We employ the algebraically co...
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2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)007 |
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| author | Luca Naterop Peter Stoffer |
| author_facet | Luca Naterop Peter Stoffer |
| author_sort | Luca Naterop |
| collection | DOAJ |
| description | Abstract We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with generic mass matrices. We employ the algebraically consistent ’t Hooft-Veltman scheme for γ 5 and we correct for evanescent as well as chiral-symmetry-breaking effects by including the appropriate finite counterterms. We also provide results for the CP-even sector in a scheme that coincides with naive dimensional regularization. We discuss two methods to avoid the explicit construction of gauge-variant operators, which in principle are needed for the cancellation of sub-divergences, even in the background-field method. The two methods are consistent with each other and with existing partial results. Our work is a further step towards a complete EFT framework for physics beyond the Standard Model at next-to-leading-logarithmic accuracy. |
| format | Article |
| id | doaj-art-b5d05320bbf34e888d94601eb81ff1f7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b5d05320bbf34e888d94601eb81ff1f72025-08-20T03:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613810.1007/JHEP06(2025)007Renormalization-group equations of the LEFT at two loops: dimension-five effectsLuca Naterop0Peter Stoffer1Physik-Institut, Universität ZürichPhysik-Institut, Universität ZürichAbstract We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with generic mass matrices. We employ the algebraically consistent ’t Hooft-Veltman scheme for γ 5 and we correct for evanescent as well as chiral-symmetry-breaking effects by including the appropriate finite counterterms. We also provide results for the CP-even sector in a scheme that coincides with naive dimensional regularization. We discuss two methods to avoid the explicit construction of gauge-variant operators, which in principle are needed for the cancellation of sub-divergences, even in the background-field method. The two methods are consistent with each other and with existing partial results. Our work is a further step towards a complete EFT framework for physics beyond the Standard Model at next-to-leading-logarithmic accuracy.https://doi.org/10.1007/JHEP06(2025)007Effective Field TheoriesRenormalization and RegularizationRenormalization Group |
| spellingShingle | Luca Naterop Peter Stoffer Renormalization-group equations of the LEFT at two loops: dimension-five effects Journal of High Energy Physics Effective Field Theories Renormalization and Regularization Renormalization Group |
| title | Renormalization-group equations of the LEFT at two loops: dimension-five effects |
| title_full | Renormalization-group equations of the LEFT at two loops: dimension-five effects |
| title_fullStr | Renormalization-group equations of the LEFT at two loops: dimension-five effects |
| title_full_unstemmed | Renormalization-group equations of the LEFT at two loops: dimension-five effects |
| title_short | Renormalization-group equations of the LEFT at two loops: dimension-five effects |
| title_sort | renormalization group equations of the left at two loops dimension five effects |
| topic | Effective Field Theories Renormalization and Regularization Renormalization Group |
| url | https://doi.org/10.1007/JHEP06(2025)007 |
| work_keys_str_mv | AT lucanaterop renormalizationgroupequationsoftheleftattwoloopsdimensionfiveeffects AT peterstoffer renormalizationgroupequationsoftheleftattwoloopsdimensionfiveeffects |