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Abstract(s)
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.
Description
Keywords
Multi-Higgs models Renormalization group equations lavor changing neutral currents
Citation
Ferreira P M, Lavoura L, Silva J P.Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models. Physics Letters B, 688 (4-5). 2010; 341-344.