Electric dipole moments from spontaneous CP violation in SU(3)-flavoured SUSY

TL;DR

This paper explores how spontaneous CP violation in SU(3)-flavoured SUSY models can address the SUSY flavour and CP problems, predicting fermion hierarchies and constraining SUSY parameters through electric dipole moments and lepton flavour violation.

Contribution

It introduces three variations of an SU(3) flavour model with spontaneous CP violation that explain fermion hierarchies and predict flavoured soft SUSY breaking terms, addressing SUSY flavour and CP issues.

Findings

Models predict specific electric dipole moments consistent with experimental bounds.

Constraints on SUSY parameter space derived from lepton flavour violation data.

Models successfully explain fermion mass hierarchies and mixing angles.

Abstract

The SUSY flavour problem is deeply related to the origin of flavour and hence to the origin of the SM Yukawa couplings themselves. Since all CP-violation in the SM is restricted to the flavour sector, it is possible that the SUSY CP problem is related to the origin of flavour as well. In this work, we present three variations of an SU(3) flavour model with spontaneous CP violation. Such models explain the hierarchy in the fermion masses and mixings, and predict the structure of the flavoured soft SUSY breaking terms. In such a situation, both SUSY flavour and CP problems do not exist. We use electric dipole moments and lepton flavour violation processes to distinguish between these models, and place constraints on the SUSY parameter space.