Title On-shell renormalization of fermion masses, fields, and mixing matrices at 1-loop /
Authors Draukšas, Simonas
DOI 10.5506/APhysPolBSupp.15.2-A15
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Is Part of Acta physica Polonica. B. Proceedings supplement: The XLIV international conference of theoretical physics matter to the deepest, on-line; 15–17 September, 2021.. Krakow : Jagiellonian University. 2022, vol. 15, iss. 2, art. no. A15, p. 1-12.. ISSN 1899-2358. eISSN 2082-7865
Keywords [eng] renormalization ; mixing ; gauge-dependence
Abstract [eng] In the case of fermion mixing, we propose to use only one of the usual on-shell renormalization conditions at 1-loop and to use off-diagonal mass counterterms. These new counterterms allow for a natural separation of gauge-dependent parts as well as UV divergent parts, for example, the off-diagonal mass counterterms can be chosen to be gauge-independent and to contain all the UV divergences that would otherwise be included in field renormalization. Containment of UV divergences in off-diagonal mass counterterms prevents the migration of said divergences from the mass term to other terms in the Lagrangian. This naturally allows to not associate counterterms with mixing matrices and take them to be always renormalized. In addition, we argue that it is more consistent to not have counterterms for mixing matrices and instead have off-diagonal mass counterterms. Finally, the renormalization scheme is truly universal as it is based on mass structures and also includes absorptive parts where possible.
Published Krakow : Jagiellonian University
Type Conference paper
Language English
Publication date 2022
CC license CC license description