  In this work we consider a model including dark sector bosons interacting
through tensor currents with Standard Model leptons. We show that for certain
values of the interaction constant this model has the potential of providing an
explanation for the discrepancy between theory and experiment, regarding the
anomalous magnetic moment of the muon. The effect on the already established
measurements for the electron are small and the lepton universality violation
is naturally incorporated. Possible experimental searches together with
systematic approach to characteristic properties of the final states are
discussed.
