Electric dipole moments from flavoured CP violation in SUSY

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.