Spontaneous CP violation from high-dimensional operators

We investigate spontaneous CP violation that arises from high-dimensional o perators in an effective Lagrangian with the symmetry group SU(3)xSU(2)xU(1 )xZ(7). We show that such a model does not necessarily require a very large scale ii by simultaneously satisfying the constraints from the epsilon par ameter in the neutral kaon system and the electric dipole moment (EDM) of t he neutron. We find that the EDM of the electron in this model could be at the level of 10(-27) ecm. However, the CP violating muon polarizations in e ta, KL --> mu(+)mu(-) decays are small.