Model for three generations of fermions

Abstract

A model is constructed for a chiral abelian gauge-interaction of fermions and a potential of three higgses, so that the potential possesses a discrete symmetry of the vacuum state, which provides the introduction of three generations for the fermions. For the model including charged currents, a matrix of the flavor mixing is described, and a phase giving the violation of CP-invariance is determined. Some approximate relations connecting the values of mixing matrix to the mass ratios for the fermions in different generations are derived.