W-boson mass, dark matter and muon (g-2) in the μNMSSM

A new CDF II measurement of the W-boson mass indicated a 7 sigma deviation from the Standard Model (SM) prediction, and the previous FNAL and BNL measurement of muon (g(-2)) showed a 4.2 sigma deviation from the SM prediction. As a result, new physics beyond the SM is indicated. In this paper, parameter space is scanned in the mu-term extended Next-to-Minimal Supersymmetric Standard Model (mu NMSSM). We get the surviving samples considering the limitations from the Large Hadron Collider (LHC) experiment and the Dark Matter (DM) direct detection experiment. In addition, we study phenomenon of W-boson mass and muon magnetic moment for them. Finally, we find that it is difficult to obtain samples surviving constraints of both CDF II experiment and muon anomaly magnetic in the mu NMSSM.