$\eta_\ell \approx \i3$ for relatively large values of $\tgb$, favored in mSUGRA and for which the LF and CP violations are most likely to be detected. The FC and FV contributions could result from different seeds of CP violation but could also be correlated in many different ways in models. Anyway, the experimental limit can be put on both because, due to the different nature of the many parameters involved, an eventual cancellation between these contributions appears unnatural. The distinction between the FC and FV contributions is also phenomenologically relevant: some of the $|\delta |$’s in the FV terms are already constrained to be smaller than $O(1)$ by LFV decays, while ${\cal I}m(\mu)$ and ${\cal I}m(A_{i i})$ are directly constrained by the EDMs.

Our aim here is to estimate the radiative contribution to the lepton EDMs induced by the seesaw interactions, first alone and subsequently accompanied by a stage of $SU(5)$ GUT. Since the present experimental bounds on LFV decays and EDMs already point towards family blind soft terms ( sparticles with the same quantum numbers must have the same soft terms) with very small CP phases, at the cut-off $\Lambda = M_{Pl}$ corresponding to the decoupling of gravitational interactions 