Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity

TL;DR

This paper demonstrates that combining supergravity with non-Abelian family symmetry can naturally solve the SUSY flavour and CP problems by suppressing unwanted flavor violations, using a specific SU(3) model as an example.

Contribution

It introduces a superpotential structure that suppresses flavon F-terms, providing a broad framework for addressing SUSY flavour and CP issues with non-Abelian symmetries.

Findings

Suppression of flavon F-terms reduces flavor violation

Model consistent with experimental limits on CP violation

Applicable to various non-Abelian family symmetry models

Abstract

Can a theory of flavour capable of describing the spectrum of fermion (including neutrino) masses and mixings also contain within it the seeds for a solution of the SUSY flavour and CP problems? We argue that supergravity together with a non-Abelian family symmetry can completely resolve the SUSY flavour and CP problems in a broad class of theories in which family symmetry and CP is spontaneously broken in the flavon sector. We show that a simple superpotential structure can suppresses the F-terms of the flavons and GUT scale Higgs fields and that, if this mechanism is implemented, the resulting flavour and CP violation is suppressed and comfortably within the experimental limits. For illustration, we study a specific model based on SU(3) family symmetry, but similar models based on non-Abelian (continuous or discrete) family symmetry will lead to similar results.