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

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 symmetry with in the paradigm of scotogenic model which explains muon (g − 2) and neutrino mass generation, simultaneously. The mass of new gauge boson generated after the spontaneous symmetry breaking of 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 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 . 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.