von Manteuffel, Andreas and Stoeckinger, Dominik and Weisswange, Matthias (2025) Four-loop renormalisation of chiral gauge theories with non-anticommuting γ5 in the BMHV scheme. JOURNAL OF HIGH ENERGY PHYSICS (8): 88. ISSN 1029-8479
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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 gamma 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 gamma 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIMENSIONAL RENORMALIZATION; GREENS FUNCTIONS; BETA-FUNCTION; REGULARIZATION; BRST Quantization; Electroweak Precision Physics; Gauge Symmetry; Renormalization and Regularization |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jun 2026 06:41 |
| Last Modified: | 18 Jun 2026 06:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66868 |
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