of $SU(5)$ grand unified theories (GUT) [@barb]. Effects of radiative origin have the nice features of being naturally small, exactly calculable once specified a certain theory and - most interestingly - if experiments are sensitive to them, they yield limits on some combination of Yukawa couplings [^2].

Recently, it has been stressed that the present (planned) limit on $\meg$ [@megexpp] ($\tmg$ [@tmgexpf]) is sensitive to the lepton-slepton misalignments induced by the radiative corrections in the framework of the supersymmetric seesaw model and that the associated constraints on neutrino Yukawa couplings have a remarkable feedback on neutrino mass model building [@lfv_ss; @imsusy02]. However, LFV decays cannot provide any information on the pattern of CP violation of slepton masses, while EDMs are sensitive to both LF and CP violations. Since the present sensitivities to the electron and muon EDMs, $d_e < 10^{-27}$ e cm [@deexpp] and $d_\mu < 10^{-18}$ e cm [@dmuexpp], could be lowered by planned experiments by up to three to five [@deexpf; @lam] and six to eight [@dmuexpf; @dmuexpff] orders of magnitude respectively, it is natural to wonder [*whether lepton EDMs would explore the range associated to LF and CP violations of radiative origin*]{}.

In this work we analyze 