Lepton flavor violation in an extended MSSM

In this work we explore a lepton flavor violation effect induced at one loop for a flavor structure in an extended minimal standard supersymmetric model, considering an ansatz for the trilinear term. In particular we find a finite expression which will show the impact of this phenomena in the $h\to \mu \tau$ decay, produced by a mixing in the trilinear coupling of the soft supersymmetric Lagrangian.