Fermion masses and mixing in a 4 1 dimensional SU(5) domain-wall brane model

Abstract

We study the fermion mass and mixing hierarchy problems within the context of the SU(5) 4+1d domain-wall brane model of Davies, George, and Volkas. In this model, the ordinary fermion mass relations of SU(5) grand unified theories are avoided, since the masses are proportional to overlap integrals of the profiles of the electroweak Higgs and the chiral components of each fermion, which are split into different 3+1d hyperplanes according to their hypercharges. We show that the fermion mass hierarchy without electroweak mixing can be generated naturally from these splittings, that generation of the Cabibbo-Kobayashi- Maskawa matrix looks promising, and that the Cabibbo angle, along with the ma..