2010/01/14 by P. M. Ferreira, L. Lavoura, João P. Silva +1 · 95 citations
Physics and Astronomy · #Charge (physics) #Coupling (piping) #Fermion #Higgs boson #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Renormalization #Renormalization group #Yukawa potential #hep-ph
paper · pdf · doi:10.1016/j.physletb.2010.04.033
published in Physics Letters B 688(4-5), 341-344 (Elsevier BV) · 7 pages, Latex, no figures
arxiv created 2010/01/14 · openalex publication_date 2010/04/19 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.