In these proceedings we present the results for lepton flavour violating tau and muon decays within the SUSY seesaw scenario. Specifically, we consider the Constrained Minimal Supersymmetric Standard Model extended by three right handed neutrinos, νR i and their corresponding SUSY partners,νR i , (i = 1, 2, 3), and use the seesaw mechanism for neutrino mass generation. We include the predictions for the branching ratios of two types of lepton flavour violating channels, lj → liγ and lj → 3li, and compare them with the present bounds and future experimental sensitivities. We first analyse the dependence of the branching ratios with the most relevant SUSY seesaw parameters, and we then focus on the particular sensitivity to θ13, which we find specially interesting on the light of its potential future measurement. We further study the constraints from the requirement of successfully producing the baryon asymmetry of the Universe via thermal leptogenesis, which is another appealing feature of the SUSY seesaw scenario. We conclude with the impact that a potential measurement of θ13 can have on lepton flavour violating physics. This is a very short summary of the works in Refs.[1] and [2] to which we refer the reader for more details.
LFV within SUSY seesawThe seesaw mechanism is implemented by the inclusion of a Majorana mass m R for the right handed neutrinos (allowed due to their singlet character under all the symmetries of the Standard Model (SM)) and by considering a large separation between this mass and the electroweak (EW) scale [3]. After EW symmetry breaking, the full 6 × 6 neutrino mass matrix is given in terms of the 3 × 3 Dirac mass matrix, that we work in a lepton basis where both the right handed mass matrix and the charged lepton mass matrix are diagonal in flavour space. The flavour mixing in the light neutrino sector is given by the Maki-Nakagawa-Sakata matrix U MNS [4] for which we use the standard parameterization, which is written in terms of three mixing angles θ 12 , θ 13 and θ 23 and three CP violating phases δ, ϕ 1 and ϕ 2 .We use here the parameterisation proposed in Ref. [5], where the solution to the seesaw equation, with R being a 3 × 3 orthogonal complex matrix, defined by three complex angles θ i (i = 1, 2, 3). The attractiveness of this parameterisation is that it allows to easily implement the requirement of compatibility with low energy neutrino data. It also clearly shows that in the singlet seesaw scenario one can have large neutrino Yukawa couplings, Y ν ∼ O(1), by simply choosing large entries in m diag N . The main implication of these large Yukawa coupling is that they can induce large lepton flavour violating (LFV) rates [6]. The total number of parameters of the neutrino sector in this scenario is 18, which in this particular pa-1