Renormalization of the multi-Higgs-doublet Standard Model and one-loop lepton mass corrections

Author(s)
W. Grimus, M. Loeschner
Abstract

Motivated by models for neutrino masses and lepton mixing, we consider the renormalization of the lepton sector of a general multi-Higgs-doublet Standard Model with an arbitrary number of right-handed neutrino singlets. We propose to make the theory finite by (MS) over bar renormalization of the parameters of the unbroken theory. However, using a general R zeta gauge, in the explicit one-loop computations of one-point and two-point functions it becomes clear that - in addition - a renormalization of the vacuum expectation values (VEVs) is necessary. Moreover, in order to ensure vanishing one-point functions of the physical scalar mass eigenfields, finite shifts of the tree-level VEVs, induced by the finite parts of the tadpole diagrams, are required. As a consequence of our renormalization scheme, physical masses are functions of the renormalized parameters and VEVs and thus derived quantities. Applying our scheme to one-loop corrections of lepton masses, we perform a thorough discussion of finiteness and zeta-independence. In the latter context, the tadpole contributions figure prominently.

Organisation(s)
Particle Physics
Journal
Journal of High Energy Physics
No. of pages
49
ISSN
1029-8479
DOI
https://doi.org/10.1007/JHEP11(2018)087
Publication date
11-2018
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/renormalization-of-the-multihiggsdoublet-standard-model-and-oneloop-lepton-mass-corrections(ad4f95bd-8cc6-4fe1-aaa6-3987bba1d211).html