Muon ($g-2$) and W-boson mass Anomaly in a Model Based on $Z_4$ Symmetry with Vector like Fermion

Abstract

The latest results of CDF-II collaboration show a discrepancy of 7σ with standard model expectations. There is, also, a 4.2σ discrepancy in the measurement of muon magnetic moment reported by Fermilab. We study the connection between neutrino masses, dark matter, muon (g − 2) and W-boson mass anomaly within a single coherent framework based on Z 4 extension of the scotogenic model with vector like lepton (VLL). Neutrino masses are generated at one loop level. The inert doublet, also, provide a solution to W-boson mass anomaly through correction in oblique parameters S, T and U . The coupling of VLL triplet ψ T to inert doublet η provides positive contribution to muon anomalous magnetic moment. In the model, the VLL triplet provides a lepton portal to dark matter (η 0 R ). The model predicts a lower bound m ee > 0.025 eV at 3σ, which is well within the sensitivity reach of the 0νββ decay experiments. The model explains muon anomalous magnetic moment ∆a µ for 1.3 < y ψ < 2.8 and mass of DM candidate in the range 152 GeV < M η 0 R < 195 GeV. The explanation of W-boson mass anomaly, further, constrain the mass of DM candidate, M η 0 R , in the range 154 GeV < M η 0 R < 174 GeV.

The CDF W-mass, muon $$g-2$$, and dark matter in a $$U(1)_{L_\mu -L_\tau }$$ model with vector-like leptons

“…As the lightest component of X , X I is a candidate of dark matter (DM) and its heavy partner is X R . The gauge boson self-energy diagrams exchanging the vector-like leptons in the loop can give additional contributions to the oblique parameters (S, T, U ), and explain the CDF W -mass [24,53,55,[76][77][78][79]. The interactions between the vector-like leptons and muon mediated by the X I (X R ) can enhance the muon g − 2 [81][82][83][84][85][86][87][88][89][90][91][92].…”