Rare processes and CP violation in the minimal supersymmetric SU(3) horizontal model

A supersymmetric horizontal extension of the standard model (N=1 SUSYxSU(3)HV) is considered. This extension involves the minimal number of free parameters in the horizontal sector (MHμ,gH, and Yukawa coupling constants). Various scenarios of the breakdown of horizontal SU(3)H symmetry with and without intermediate scale are considered under the assumption that supersymmetry is conserved at the scale of the breakdown of horizontal gauge symmetry. In this approach, a global analysis of rare processes on the basis of the hypothesis that the same mechanism is responsible for the splitting of the mass spectrum of horizontal vector bosons and for the generation of quark masses makes it possible to estimate the masses of horizontal gauge bosons and horizontal gauginos. Formulas are presented that determine contributions to the CP-violation parameters from the sector of horizontal interactions. Similar calculations are performed for the improved Fritzsch and democratic schemes of mixing of quark-lepton generations. The Fritzsch model with the fourth SU(3)H singlet generation without intermediate breakdown of horizontal symmetry is also considered