One-loop corrections to the seesaw mechanism in the multi-Higgs-doublet Standard Model

W. Grimus; L. Lavoura

doi:10.1016/s0370-2693(02)02672-2

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arXiv · hep-ph/0207229

One-loop corrections to the seesaw mechanism in the multi-Higgs-doublet Standard Model

W. Grimus·L. Lavoura

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Abstract

We consider the lepton sector of the Standard Model and allow for an arbitrary number of Higgs doublets and, moreover, for the presence of right-handed neutrino singlets which enable the seesaw mechanism. In this framework, we identify and calculate the dominant one-loop radiative corrections to the tree-level mass matrix of the light neutrinos. The interesting feature is that both the tree-level and the one-loop contributions to the light-neutrino mass matrix are quadratic in the Yukawa couplings, with the effect that the one-loop contribution is smaller than the tree-level one mainly because of the one-loop factor $(16π^2)^{-1}$. We also point out the possibility of generating radiatively--in this framework--the ratio of solar over atmospheric neutrino mass-squared differences, as needed for the large-mixing-angle MSW solution of the solar-neutrino problem.

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W. Grimus, L. Lavoura. 2002-09-30. One-loop corrections to the seesaw mechanism in the multi-Higgs-doublet Standard Model. https://doi.org/10.1016/s0370-2693(02)02672-2

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