Muon (g − 2) in U(1) L μ − L τ scotogenic model extended with vector like fermion

Abstract

Abstract The latest results of anomalous muon magnetic moment at Fermilab show a discrepancy of 4.2 σ between the Standard Model (SM) prediction and experimental value. In this work, we revisit U ( 1 ) L μ − L τ symmetry with in the paradigm of scotogenic model which explains muon (g − 2) and neutrino mass generation, simultaneously. The mass of new gauge boson M Z μ τ generated after the spontaneous symmetry breaking of U ( 1 ) L μ − L τ is constrained, solely, in light of the current neutrino oscillation data to explain muon (g − 2). In particular, we have obtained two regions I and II, around 150 MeV and 500 MeV, respectively, in M Z μ τ − g μ τ plane which explain the neutrino phenomenology. Region I is found to be consistent with muon neutrino trident (MNT) bound (g μ τ ≤ 10−3) to explain muon (g − 2), however, region II violates it for mass range M Z μ τ > 300 MeV . We, then, extend the minimal gauged scotogenic model by a vector like lepton (VLL) triplet ψ T . The mixing of ψ T with inert scalar doublet η leads to chirally enhanced positive contribution to muon anomalous magnetic moment independent of Z μ τ mass. Furthermore, we have, also, investigated the implication of the model for 0ν β β decay and CP violation. The non-observation of 0ν β β decay down to the sensitivity of 0.01 eV shall refute the model. The model, in general, is found to be consistent with both CP conserving and CP violating solutions.