alpha ~ pi/2 from supersymmetric spontaneous flavor breaking

preprint2006arXivOpen access

Abstract

We propose a flavor model where both CP and flavor symmetries are broken at the supersymmetric level. The model is an effective SU(5) theory based on a U(2) horizontal symmetry. The minimum of the supersymmetric scalar potential can be solved to yield a realistic pattern of charged fermion masses. The Higgs sector contains a symmetric, an antisymmetric and two vector fields, plus their U(2) conjugates. These Higgs fields are the only fields strictly required to break the flavor and CP symmetries and generate masses for all charged fermions including the up-quark. The model predicts the existence of an absolute minimum in the space of CP-phases. The value alpha ~ pi/2 is predicted in a particular limit of the parameter space of the model.

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