Electric dipole moments from flavoured CP violation in SUSY

TL;DR

This paper demonstrates that SU(3) flavour symmetries with spontaneous CP violation can address supersymmetric flavour and CP problems, predicting observable electric dipole moments and lepton flavour violation signals accessible at the LHC.

Contribution

It introduces a model with SU(3) flavour symmetry and spontaneous CP violation that naturally solves SUSY flavour and CP problems without ad hoc modifications.

Findings

Electron EDM and mu -> e gamma decay are within experimental reach.

The model reproduces SM Yukawa matrices accurately.

Predictions are testable at current or near-future experiments.

Abstract

The so-called supersymmetric flavour and CP problems are deeply related to the origin of flavour and hence to the origin of the SM Yukawa couplings themselves. We show that realistic SU(3) flavour symmetries with spontaneous CP violation reproducing correctly the SM Yukawa matrices can simultaneously solve both problems without ad hoc modifications of the SUSY model. We analyze the leptonic electric dipole moments and lepton flavour violation processes in these models. We show that the electron EDM and the decay mu -> e gamma are naturally within reach of the proposed experiments if the sfermion masses are measurable at the LHC.