Solving the Supersymmetric CP Problem with Abelian Horizontal Symmetries

Abstract

Models that combine Abelian horizontal symmetries and spontaneous CP violation can (i) explain the smallness and hierarchy in quark parameters; (ii) satisfactorily suppress supersymmetric contributions to flavor changing neutral current processes; (iii) solve the $\mu$-problem; and (iv) suppress supersymmetric contributions to CP violating observables to an acceptable level. The CKM phase is $\text{O}(1)$ and responsible, through Standard Model box diagrams, to ${ϵ}_K$. The supersymmetric CP violating phases are suppressed, ${\varphi }_A\sim {\lambda }^6$ and ${\varphi }_B\sim {\lambda }^8$ ($\lambda \sim 0.2$), leading to an electric dipole moment of the neutron that is about 2--3 orders of magnitude below the experimental bound.

Comments: 11 pages, harvmac, no figures