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In supersymmetric seesaw models based on SUSY-GUTs, it could happen that theneutrino PMNS mixing angles are related to the lepton flavour violating decayrates. In particular SO(10) frameworks, the smallest mixing angle would getdirectly correlated with the $\mu \to e + \gamma $ decay amplitude. Here westudy this correlation in detail considering $U_{e3}$ as a free parameterbetween 0 and $U_{e3}$(CHOOZ). Large radiative corrections to $U_{e3}$ presentin these models, typically of the order ~$\Delta U_{e3} ~\sim ~10^{-3}$(peculiar to hierarchial neutrinos), can play a major role in enhancing theBr($\mu \to e +\gamma$), especially when $U_{e3} \ler 10^{-3}$. For largetan$\beta$, even such small enhancements are sufficient to bring the associatedBr($\mu \to e + \gamma$) into realm of MEG experiment as long as SUSY spectrumlies within the range probed by LHC. On the other hand, for some (negative)values of $U_{e3}$, suppressions can occur in the branching ratio, due tocancellations among different contributions. From a top-down perspective suchlow values of $U_{e3}$ at the weak scale might require some partial/fullcancellations between the high scale parameters of the model and the radiativecorrections unless $U_{e3}$ is purely of radiative origin at the high scale. Wefurther emphasize that in Grand Unified theories there exist additional LFVeffects related to the running above the GUT scale, that are also independenton the low energy value of $U_{e3}$. These new contributions can becomecompetitive and even dominant in some regions of the parameter space.Comment: 16 pages, 9 figures; references added, improved discussions in text,  to appear in JHE

RunningUe3and BR(μ→e+γ) in SUSY-GUTs

RunningU_e3and BR(μ→e+γ) in SUSY-GUTs