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PreprintCC BY 4.0arXiv

The Standard Model with Non-Anticommuting γ5 in the BMHV Scheme

  • Paul Kühler
  • Dominik Stöckinger
  • Matthias Weißwange
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Abstract

The Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme provides a treatment of γ5 in dimensional regularisation (DReg) that is guaranteed to be self-consistent at all orders, but it breaks gauge and BRST invariance at the regularised level, which must be restored by suitable counterterms. We present the complete 1-loop renormalisation of the full Standard Model in the BMHV scheme in general Rξ-gauge, including all singular and all finite symmetry-restoring counterterms. We further analyse the impact of evanescent gauge interactions, which allow the photon and gluon currents to be treated either 4- or D-dimensionally. We show that QCD always contributes to the symmetry breaking, so that the Standard Model must be treated as a whole, and we recommend a purely 4-dimensional treatment of electroweak gauge interactions. Our results provide a necessary step towards multi-loop electroweak precision calculations with a fully consistent treatment of γ5.

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Cite

BibTeXRIS
BibTeX
@misc{kuhler2026standard,
  title = {{The Standard Model with Non-Anticommuting $γ_5$ in the BMHV Scheme}},
  author = {Paul Kühler and Dominik Stöckinger and Matthias Weißwange},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00141},
  eprint = {2611.00141},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00141},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Standard Model with Non-Anticommuting γ_5 in the BMHV Scheme
AU  - Paul Kühler
AU  - Dominik Stöckinger
AU  - Matthias Weißwange
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00141
UR  - https://arxiv.org/abs/2611.00141
AB  - The Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme provides a treatment of γ_5 in dimensional regularisation (DReg) that is guaranteed to be self-consistent at all orders, but it breaks gauge and BRST invariance at the regularised level, which must be restored by suitable counterterms. We present the complete 1-loop renormalisation of the full Standard Model in the BMHV scheme in general R_ξ-gauge, including all singular and all finite symmetry-restoring counterterms. We further analyse the impact of evanescent gauge interactions, which allow the photon and gluon currents to be treated either 4- or D-dimensionally. We show that QCD always contributes to the symmetry breaking, so that the Standard Model must be treated as a whole, and we recommend a purely 4-dimensional treatment of electroweak gauge interactions. Our results provide a necessary step towards multi-loop electroweak precision calculations with a fully consistent treatment of γ_5.
ER  -