Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation
Abstract The mathematical consistency of the BMHV scheme of dimensional regularisation (DReg) comes at the cost of requiring symmetry-restoring counterterms to cancel the regularisation-induced breaking of gauge and BRST invariance. There is no unique way to extend a 4-dimensional theory to D dimens...
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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)114 |
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| author | Paul L. Ebert Paul Kühler Dominik Stöckinger Matthias Weißwange |
| author_facet | Paul L. Ebert Paul Kühler Dominik Stöckinger Matthias Weißwange |
| author_sort | Paul L. Ebert |
| collection | DOAJ |
| description | Abstract The mathematical consistency of the BMHV scheme of dimensional regularisation (DReg) comes at the cost of requiring symmetry-restoring counterterms to cancel the regularisation-induced breaking of gauge and BRST invariance. There is no unique way to extend a 4-dimensional theory to D dimensions, and different choices can be made for the dimensionally regularised fermions, evanescent parts of their kinetic terms and evanescent gauge interactions. Here we present a detailed study of the impact of changing such evanescent details. We leverage this freedom to identify a particularly convenient formulation that simplifies practical calculations. In order to thoroughly study the available options, we focus on a general abelian chiral gauge theory including scalar fields and adopt a general approach to the BMHV implementation. This allows for specialisation to various models and different approaches, including those from the literature. Importantly, our model can be specialised to the abelian sector of the Standard Model (SM). Consequently, this article also serves as a roadmap for upcoming applications to the full SM. |
| format | Article |
| id | doaj-art-11f08fab987242c2ac8327a01c6dac23 |
| 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-11f08fab987242c2ac8327a01c6dac232025-02-09T12:06:53ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115810.1007/JHEP01(2025)114Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional RegularisationPaul L. Ebert0Paul Kühler1Dominik Stöckinger2Matthias Weißwange3Institut für Kern- und Teilchenphysik, TU DresdenInstitut für Kern- und Teilchenphysik, TU DresdenInstitut für Kern- und Teilchenphysik, TU DresdenInstitut für Kern- und Teilchenphysik, TU DresdenAbstract The mathematical consistency of the BMHV scheme of dimensional regularisation (DReg) comes at the cost of requiring symmetry-restoring counterterms to cancel the regularisation-induced breaking of gauge and BRST invariance. There is no unique way to extend a 4-dimensional theory to D dimensions, and different choices can be made for the dimensionally regularised fermions, evanescent parts of their kinetic terms and evanescent gauge interactions. Here we present a detailed study of the impact of changing such evanescent details. We leverage this freedom to identify a particularly convenient formulation that simplifies practical calculations. In order to thoroughly study the available options, we focus on a general abelian chiral gauge theory including scalar fields and adopt a general approach to the BMHV implementation. This allows for specialisation to various models and different approaches, including those from the literature. Importantly, our model can be specialised to the abelian sector of the Standard Model (SM). Consequently, this article also serves as a roadmap for upcoming applications to the full SM.https://doi.org/10.1007/JHEP01(2025)114BRST QuantizationElectroweak Precision PhysicsGauge SymmetryRenormalization and Regularization |
| spellingShingle | Paul L. Ebert Paul Kühler Dominik Stöckinger Matthias Weißwange Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation Journal of High Energy Physics BRST Quantization Electroweak Precision Physics Gauge Symmetry Renormalization and Regularization |
| title | Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation |
| title_full | Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation |
| title_fullStr | Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation |
| title_full_unstemmed | Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation |
| title_short | Shedding light on evanescent shadows — Exploration of non-anticommuting γ 5 in Dimensional Regularisation |
| title_sort | shedding light on evanescent shadows exploration of non anticommuting γ 5 in dimensional regularisation |
| topic | BRST Quantization Electroweak Precision Physics Gauge Symmetry Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP01(2025)114 |
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