https://doi.org/10.1140/epjp/s13360-023-04226-4
Regular Article
On-shell renormalization of fermion masses, fields, and mixing matrices at 1-loop
Institute of Theoretical Physics and Astronomy, Vilnius University, Saulėtekio av. 3, LT–10222, Vilnius, Lithuania
a
simonas.drauksas@ff.stud.vu.lt
Received:
17
January
2023
Accepted:
23
June
2023
Published online:
31
July
2023
We propose a new and simple on-shell definition of off-diagonal fermion field and mass counterterms at 1-loop in terms of self-energy scalar functions. We show that the anti-Hermitian part of the field renormalization is always finite and that mass counterterms can be chosen gauge-independent. It is noteworthy that our definition relies on mass structures and is universal. Furhter, definitions of the off-diagonal mass and field counterterms allow us to comment on the renormalization of mixing matrices with focus on the quark mixing matrix in the standard model. As an example of our scheme, we provide computations in the two Higgs–Doublet model with an additional heavy Majorana neutrino—the Grimus–Neufeld model. This allows for the comparison with other schemes known in literature and also provides examples for the case of massless fermions. In the appendix, the scheme is extended to arbitrary orders, although without example computations in the Grimus–Neufeld model.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
