Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $γ_5$ in the BMHV Scheme
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| Format: | Preprint |
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2025
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| _version_ | 1866909649021698048 |
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| author | von Manteuffel, Andreas Stöckinger, Dominik Weißwange, Matthias |
| author_facet | von Manteuffel, Andreas Stöckinger, Dominik Weißwange, Matthias |
| contents | We present the complete 4-loop renormalisation of an Abelian chiral gauge theory in the Breitenlohner-Maison / `t Hooft-Veltman (BMHV) scheme. Employing a non-anticommuting $γ_5$ in dimensional regularisation, we determine the full set of symmetry restoring counterterms from the quantum action principle. Our calculation represents the highest-order application of the BMHV framework so far, pushing the limits of a self-consistent treatment of $γ_5$ at the multi-loop level. We describe the computational setup that we developed to perform the computations and discuss key implementation aspects, such as the BMHV algebra and tensor reduction. Our work demonstrates the feasibility of applying the BMHV scheme at high loop orders and establishes a solid foundation for future studies of high-precision electroweak physics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_12253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $γ_5$ in the BMHV Scheme von Manteuffel, Andreas Stöckinger, Dominik Weißwange, Matthias High Energy Physics - Phenomenology High Energy Physics - Theory We present the complete 4-loop renormalisation of an Abelian chiral gauge theory in the Breitenlohner-Maison / `t Hooft-Veltman (BMHV) scheme. Employing a non-anticommuting $γ_5$ in dimensional regularisation, we determine the full set of symmetry restoring counterterms from the quantum action principle. Our calculation represents the highest-order application of the BMHV framework so far, pushing the limits of a self-consistent treatment of $γ_5$ at the multi-loop level. We describe the computational setup that we developed to perform the computations and discuss key implementation aspects, such as the BMHV algebra and tensor reduction. Our work demonstrates the feasibility of applying the BMHV scheme at high loop orders and establishes a solid foundation for future studies of high-precision electroweak physics. |
| title | Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $γ_5$ in the BMHV Scheme |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.12253 |