Indirect CP violation in an electroweak SU(2)left x U(1) gauge theory of chiral mesons

Indirect CP violation is analyzed in the framework of the electroweak gauge theory of J=0 mesons proposed in ref.[1], in which they transform like composite fermion-antifermion operators by the chiral U(N)left x U(N)right group and by the SU(2)left x U(1) gauge group of the Glashow-Salam-Weinberg model. It is shown that, in this model where, in particular, mass terms can be introduced for the mesons themselves, and unlike what happens in the standard model for fermions: - electroweak mass eigenstates can differ from CP eigenstates even in the case of two generations; - the existence of a complex entry in the mixing matrix for the constituent fermions is no longer a sufficient condition for indirect CP violation to occur at the mesonic level.