Lepton Flavour Violation in charged leptons within SUSY-seesaw

In this paper we review our main results for Lepton Flavour Violating (LFV) semileptonic tau decays and muon-electron conversion in nuclei within the context of two Constrained SUSY-Seesaw Models, the CMSSM and the NUHM. The relevant spectrum is that of the Minimal Supersymmetric Standard Model extended by three right handed neutrinos, νRi and their corresponding SUSY partners, , (i=1,2,3). We use the seesaw mechanism for neutrino mass generation and choose a parameterisation of this mechanism that allows us to incorporate the neutrino data in our analysis of LFV processes. In addition to the full one-loop results for the rates of these processes, we will also review the set of simple formulas, valid at large tanβ, which are very useful to compare with present experimental bounds. The sensitivity to SUSY and Higgs sectors in these processes will also be discussed. This is a very short summary of the works in Refs. [E. Arganda, M. J. Herrero and J. Portoles, JHEP 0806 (2008) 079 [arXiv:0803.2039 [hep-ph]]] and [E. Arganda, M. J. Herrero and A. M. Teixeira, JHEP 0710 (2007) 104 [arXiv:0707.2955 [hep-ph]]] to which we refer the reader for more details.