Impact of $\theta_{13}$ on Lepton Flavour Violating processes within SUSY Seesaw

Abstract

We study the impact of neutrino masses and mixings on LFV processes within the context of the supersymmetric seesaw scenario, where the CMSSM is extended by three right-handed (s)neutrinos. A hierarchical spectrum is considered for both heavy and light neutrinos. We systematically analyse the interesting relation between the leptonic mixing angle $\theta_{13}$ and LFV muon and tau decays, namely $l_j \to l_i \gamma$ and $l_j \to 3 l_i$, and discuss the interplay with the other relevant parameters. We require compatibility with low energy neutrino data, bounds on both LFV decays and charged lepton electric dipole moments, and impose a successful baryogenesis via thermal leptogenesis. Particular emphasis is given to the implications that a future $\theta_{13}$ measurement can have on our knowledge of the heavy neutrino sector.