Anomalous magnetic moment of muon and L-violating Supersymmetric Models

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We consider L-violating Supersymmetric Models to explain the recent muon gμ -2 deviation from the Standard Model. The order of trilinear L-violating couplings which we require also generate neutrino mass which is somewhat higher than expected unless one considers highly suppressed L-R mixing of sfermions. However, without such fine tuning for sfermions it is possible to get appropriate muon gμ-2 deviation as well as neutrino mass if one considers some horizontal symmetry for the lepton doublet. Our studies show that gμ -2 deviation may not imply upper bound of about 500 GeV on masses of supersymmetric particles like chargino or neutralino as proposed by other authors for R parity conserving supersymmetric models. However, in our scenario sneutrino mass is expected to be light (100 GeV) and e-μ-τ universality violation may be observed experimentally in near future.