Muon (g-2) anomaly in extended left-right symmetric model

We consider a gauged U(1)Lμ−Lτ extension of the left-right symmetric theory in order to simultaneously explain neutrino mass, mixing and muon anomalous magnetic moment. We get sizeable contribution from the interaction of the new light gauge boson Zμτ of U(1)Lμ−Lτ symmetry with muons which can individually satisfy the current bounds on muon (g − 2) anomaly . The other positive contributions to ∆aμ come from the interactions of neutral CP-even scalars with muons and that of singly charged gauge boson WL with heavy neutrinos which is facilitated by inverse seesaw mechanism that explains neutrino mass in our model. The results show that the model gives a small but non-negligible contribution to ∆aμ thereby eliminating the entire deviation in theoretical prediction and experimental result of muon (g − 2) anomaly.