Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models
Abstract
We write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of fixed quantum numbers are all proportional to each other. We demonstrate that, in the case of the two-Higgs-doublet model, this proportionality is preserved by the renormalization-group running only in the cases of the standard type-I, II, X, and Y models. We furthermore show that a similar result holds even when there are more than two Higgs doublets: the Yukawa-coupling matrices to fermions of a given electric charge remain proportional under the renormalization-group running if and only if there is a basis for the Higgs doublets in which all the fermions of a given electric charge couple to only one Higgs doublet.
Cite
@article{arxiv.1001.2561,
title = {Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models},
author = {P. M. Ferreira and L. Lavoura and Joao P. Silva},
journal= {arXiv preprint arXiv:1001.2561},
year = {2014}
}
Comments
7 pages, Latex, no figures