Study some two loop contribution to moun MDM in the N-B-LSSM

It is well known that the muon magnetic dipole moment (MDM) has close relation with the new physics (NP) in the development of the Standard Model (SM). Combined with the Fermilab National Accelerator Laboratory (FNAL) and the Brookhaven National Laboratory (BNL) E821 result, the departure from the SM prediction is about 5.0 σ. We study the electroweak corrections from several type two-loop SUSY diagrams and the virtual SUSY particles include chargino, neutralino, scalar lepton and scalar neutrino. Based on the latest experimental constraints, we study the moun MDM under the next to the minimal supersymmetric extension of the SM with local B-L gauge symmetry (N-B-LSSM). The abundant numerical results verify that tanβ,~Tₑ,~M²L,~M²ₑ,~MBB' and M²ₑᵢⱼ play an important role in moun MDM . M²ₑ,~tanβ and Tₑ are sensitive parameters to the process of moun MDM. From the data obtained in the figure, most of aμNBL are in 2σ, which can compensate the departure between the experiment data and the SM prediction.