Phenomenological aspects of supersymmetric family symmetries

Abstract

We study the phenomenological consequences of models with family symmetries which are broken close to the GUT scale.  First, we consider a string-inspired model which becomes a supersymmetric Pati-Salam model with an abelian family symmetry at energy scales between the string scale and the GUT scale.  We use the predicted rates of BR(µ → eγ) to gauge the relative importance of a number of contributions to flavour violation, including from auxiliary fields associated with the spontaneous breaking of the family symmetry close to the GUT scale. Secondly, we consider the effect of an operator expansion in the Kähler sector similar to the operator expansions in the superpotentials of family symmetry models.  When the family symmetry is broken, the fields in the effective theory become non-canonical, and have to be rescaled and mixed.  This process can change the Yukawa textures, but we show that the effects on physical observables are sub-dominant provided that the textures are hierarchical.

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