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Search for lepton flavor violation in supersymmetric models via meson decays

Considering the constraints from the experimental data on $μ\rightarrow eγ$, $μ\rightarrow3e$, $μ-e$ conversion etc., we analyze the Lepton Flavor Violating decays $ϕ(J/Ψ,Υ(1S)) \rightarrow e^+μ^-(μ^+τ^-)$ in the scenarios of the minimal supersymmetric extensions of Standard Model with seesaw Mechanism. Numerically, there is parameter space that the LFV processes of $J/Ψ(Υ)\rightarrowμ^+τ^-$ can reach the upper experimental bounds, meanwhile the theoretical predictions on $μ\rightarrow eγ$, $μ\rightarrow3e$, $μ-e$ conversion satisfy the present experimental bounds. For searching of new physics, Lepton Flavor Violating processes $J/Ψ(Υ)\rightarrowμ^+τ^-$ may be more promising and effective channels.