We show that it is possible to implement soft superweak $\mathrm{CP}$ violation in the context of a 3-3-1 model with only three triplets. All $\mathrm{CP}$ violation effects come from the exchange of singly and doubly charged scalars. We consider the implication of this mechanism in the quark and lepton sectors. In particular it is shown that, in this model, as in most of those which incorporate scalar mediated $\mathrm{CP}$ violation, it is possible to have large electric dipole moments for the muon and the tau lepton while keeping small those of the electron and neutron. The CKM mixing matrix is real at the tree level but gets a phase at the 1-up loop level.

• Received 16 November 1998

DOI:https://doi.org/10.1103/PhysRevD.60.076003