SpontaneousCPnonconservation and natural flavor conservation: A minimal model

A minimal model based on the standard SU(2)×U(1) gauge theory, with spontaneous $\mathrm{CP}$ violation and natural flavor conservation, is presented in some detail. In particular it is shown that one on the minima of the classical Higgs potential leads to spontaneous $\mathrm{CP}$ breaking. The generalized Cabibbo-type matrix is real and there is no $\mathrm{CP}$ violation in the manner of Kobayashi-Maskawa. The $\mathrm{CP}$ nonconservation is entirely due to Higgs-boson exchange, and can be characterized by a single phase for an arbitrary number of quark generations.