CP-violating Phenomena in an $ SU(2)_L \times SU(2)_R \times U(1)_{B-L} \times SU(3)_H^{VL}$ Horizontal Symmetric Model

Abstract

We consider an $SU(2)_L \times SU(2)_R \times U(1)_{B-L} \times SU(3)_H^{VL}$ gauge model with natural flavour conservation in the Higgs sector, in which CP-violation occurs due to the horizontal interactions only. We calculate the CP-violating observables $\epsilon$ and $\epsilon'$ of the neutral kaon sector and $d_n$, the electric dipole moment of the neutron. The regions of the parameter space which yield a value of $\epsilon$ that is in agreement with the experiment, lead to predictions for $\epsilon'$ and $d_n$ which are at least five orders of magnitude smaller than the current experimental upper bounds.