Study muon g − 2 at two-loop level in the U(1)XSSM

A bstract The new experiment data of muon g − 2 is reported by the workers at Fermilab National Accelerator Laboratory (FNAL). Combined with the previous Brookhaven National Laboratory (BNL) E821 result, the departure from the standard model prediction is about 4.2 σ . It strengthens our faith in the new physics. U(1) X SSM is the U(1) extension of the minimal supersymmetric standard model, where we study the electroweak corrections to the anomalous magnetic dipole moment of muon from the one-loop diagrams and some two-loop diagrams possessing important contributions. These two-loop diagrams include Barr-Zee type, rainbow type and diamond type. The virtual supersymmetric particles in these two-loop diagrams are chargino, scalar neutrino, neutralino, scalar lepton, which are supposed not very heavy to make relatively large corrections. We obtain the Wilson coefficients of the dimension 6 operators inducing the anomalous magnetic dipole moment of muon. The numerical results can reach 25 × 10 − 10 and even larger.