Muon [equation] through a flavor structure on soft SUSY terms

摘要

In this work we analyze the possibility to explain the muon anomalous magnetic moment discrepancy within theory and experiment through lepton-flavor violation processes. We propose a flavor extended MSSM by considering a hierarchical family structure for the trilinear scalar soft-supersymmetric terms of the Lagrangian, present at the SUSY breaking scale. We obtain analytical results for the rotation mass matrix, with the consequence of having non-universal slepton masses and the possibility of leptonic flavor mixing. The one-loop supersymmetric contributions to the leptonic flavor violating process ( au ightarrow mu gamma ) are calculated in the physical basis, instead of using the well-known mass-insertion method. The flavor violating processes (BR(l_i ightarrow l_j gamma )) are also obtained, in particular ( au ightarrow mu gamma ) is well within the experimental bounds. We present the regions in parameter space where the muon (g-2) problem is either entirely solved or partially reduced through the contribution of these flavor violating processes.