Semi-visible dark photon in a model with vector-like leptons for the (g-2)_e,μ and W-boson mass anomalies

We propose a model realizes that a semi-visible dark photon which can contribute to the anomalous magnetic moment (g-2) of both electron and muon. In this model, the electron g-2 is deviated from the Standard Model (SM) prediction by the 1-loop diagrams involving the vector-like leptons, while that of muon is deviated due to a non-vanishing gauge kinetic mixing with photons. We also argue that the W-boson mass can be deviated from the SM prediction due to the vector-like lepton loops, so that the value obtained by the CDF II experiment can be explained. Thus, this model simultaneously explains the recent three anomalies in g-2 of electron and muon as well as the W-boson mass. The constraints on the 𝒪(1) GeV dark photon can be avoided because of the semi-invisible decay of the dark photon, A^'→ 2 N → 2ν 2χ→ 2ν 4e, where N is a SM singlet vector-like neutrino and χ is a CP-even Higgs boson of the U(1)^' gauge symmetry.