Abstract
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 Lagranagian, 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 flavour mixing. The one-loop supersymmetric contributions to the leptonic flavour violating process $\tau \to \mu\gamma$ are calculated in the physical basis, with slepton flavour mixed states, instead of using the well known Mass Insertion Method. 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.
Highlights
It is well known that in contrast to electric charge conservation, lepton number conservation is not associated with a gauge symmetry
In this work we present an analysis of a flavor violating extension of the Minimal Supersymmetric Standard Model (MSSM) (FV-MSSM) one-loop contribution to aμ, which is driven by a Lepton Flavor Violation (LFV) mechanism at tree level
We analyze the region in parameter space allowed by the experimental bound on B R(τ → μγ ), taking into account that the mixing parameters w, y represent at most a phase, i.e. the mixing terms in the L R term of the mass matrix are of the same order as A0, see Eq (9), in contrast with the Mass Insertion Approximation (MIA)
Summary
It is well known that in contrast to electric charge conservation, lepton number conservation is not associated with a gauge symmetry. The processes τ ± → l±γ , (l = μ±, e±) through gauge bosons loops are predicted to give very low rates [10], even considering the experimental evidence on neutrino oscillations [5,6,7,8] Under this evidence the amplitudes for the Lepton Flavor Violation (LFV) processes at low energy are suppressed by an inverse power of the large Majorana mass scale MI used in the well-known seesaw model [11,12], which explains naturally the small masses for the active left-handed neutrinos. One important issue to be considered was the experimental absence of Flavor Changing Neutral Currents (FCNC), which lead to the simplifying assumption of universality in
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