The paper by J.A. Casas and A. Ibarra explores the implications of oscillating neutrinos on lepton flavor violation (LFV) processes, particularly $\mu \rightarrow e, \gamma$. They focus on the supersymmetric see-saw mechanism, where neutrino masses are generated through the mixing of right-handed neutrinos with left-handed leptons. The authors derive the most general form of the neutrino Yukawa matrix, $\mathbf{Y}_\nu$, consistent with experimental constraints on neutrino masses and mixing angles. They then compute the branching ratios for LFV processes, specifically $\mu \rightarrow e, \gamma$, using renormalization group equations (RGEs) to account for the evolution of off-diagonal soft terms in the sleptons and sleptons mass matrices. The paper highlights that, under the assumption of universality of these soft terms, the branching ratios for $\mu \rightarrow e, \gamma$ can be significantly larger than the current experimental upper bounds, especially when the largest Yukawa coupling is of order one and the solar data are explained by a large-angle MSW effect. This scenario is particularly relevant in models like SO(10), where top-neutrino unification is present. The authors also discuss other possible scenarios, such as gauge-mediated SUSY breaking, and their implications for LFV processes. The analysis is based on observable low-energy data and is presented in a bottom-up approach, starting from the experimental information about neutrino masses and mixing angles to derive the most general textures of the neutrino Yukawa matrix. The results are compared with current and future experimental bounds, providing a comprehensive understanding of the constraints on LFV processes in supersymmetric theories.The paper by J.A. Casas and A. Ibarra explores the implications of oscillating neutrinos on lepton flavor violation (LFV) processes, particularly $\mu \rightarrow e, \gamma$. They focus on the supersymmetric see-saw mechanism, where neutrino masses are generated through the mixing of right-handed neutrinos with left-handed leptons. The authors derive the most general form of the neutrino Yukawa matrix, $\mathbf{Y}_\nu$, consistent with experimental constraints on neutrino masses and mixing angles. They then compute the branching ratios for LFV processes, specifically $\mu \rightarrow e, \gamma$, using renormalization group equations (RGEs) to account for the evolution of off-diagonal soft terms in the sleptons and sleptons mass matrices. The paper highlights that, under the assumption of universality of these soft terms, the branching ratios for $\mu \rightarrow e, \gamma$ can be significantly larger than the current experimental upper bounds, especially when the largest Yukawa coupling is of order one and the solar data are explained by a large-angle MSW effect. This scenario is particularly relevant in models like SO(10), where top-neutrino unification is present. The authors also discuss other possible scenarios, such as gauge-mediated SUSY breaking, and their implications for LFV processes. The analysis is based on observable low-energy data and is presented in a bottom-up approach, starting from the experimental information about neutrino masses and mixing angles to derive the most general textures of the neutrino Yukawa matrix. The results are compared with current and future experimental bounds, providing a comprehensive understanding of the constraints on LFV processes in supersymmetric theories.