Preprint

PUBDB-2026-02015

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Dimensional Regularisation with Non-Anticommuting $\gamma_5$: Status and Application to the Standard Model

Weisswange, M. (Corresponding author)DESY*

2026

This record in other databases:    

Please use a persistent id in citations: doi:10.3204/PUBDB-2026-02015

Report No.: DESY-26-088; arXiv:2607.08847

Abstract: A consistent all-order treatment of $\gamma_5$ in dimensional regularisation (DReg), as provided by the Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme, is essential for high-precision electroweak calculations, but comes at the cost of a regularisation-induced violation of gauge and BRST invariance that must be reinstated via symmetry-restoring counterterms. We report on the current status of our research on the BMHV scheme, from its $D$-dimensional realisation and its multi-loop behaviour up to the 4-loop order, to its most recent application: the complete 1-loop renormalisation of the Standard Model (SM), including both divergent and finite symmetry-restoring counterterms. For the latter, we discuss the main intricacies of the BMHV treatment and present a representative excerpt of the resulting counterterms.

Note: PoS(LL2026)076. PoS(LL2026)076. Contribution to proceedings of the Loops and Legs in Quantum Field Theory conference (LL2026), 12-17 April 2026, Bayreuth, Germany

---

Contributing Institute(s):

1. Theorie (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121 Das Quantisierte Universum II (390833306) (390833306)
3. DFG project G:(GEPRIS)491245950 - Open-Access-Publikationskosten / 2025-2027 / DESY Hamburg (491245950) (491245950)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2026

---

Database coverage:
; ; Published

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a conference proceedings/Contribution to a book Weisswange, M. (Corresponding author)DESY*
Dimensional Regularisation with Non-Anticommuting $\gamma_5$: Status and Application to the Standard Model
2026Loops and Legs in Quantum Field Theory, LL2026, BayreuthBayreuth, Germany, 12 Apr 2026 - 17 Apr 20262026-04-122026-04-17 Proceedings of Science / International School for Advanced Studies (LL2026), 076 (2026) [10.22323/1.521.0076]2026     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---