Dark Matter and Muon (g − 2) from a Discrete Z4 Symmetric Model

Abstract

The nonzero neutrino mass and nature of Dark Matter (DM) is still unknown within the Standard Model
(SM). In 2021, there was a 4.2σ discrepancy with SM results in the measurement of muon magnetic moment
reported by Fermilab. Recently, Fermilab released its precise results for muon’s magnetic moment, and it
shows a 5.1σ discrepancy. In this work, we study the corelation between neutrino masses, muon (g − 2)
anomaly, and Dark Matter within a framework based on the Z4 extension of the scotogenic model, in which
the neutrino masses are generated at one loop level. We extend the model with a vector-like lepton (VLL)
triplet in order to explain muon (g − 2). Here, the coupling of VLL triplet ψT to inert doublet η provides a
positive contribution to muon anomalous magnetic moment. We also studied the DM phenomenology of
ψT by considering the neutral component of ψT as the lightest DM candidate. We show that, for the mass of
the VLL triplet Mψ in TeV scale, the model can well explain muon (g − 2) anomaly and also gives required
relic density.