The CP-violating EBLMSSM corrections to muon MDM and lepton EDMs

Extending BLMSSM with exotic Higgs superfields $(\Phi_{NL},\varphi_{NL})$ and superfields (Y,Y'), one obtains the new model called as EBLMSSM, where exotic leptons are heavy and have tree level couplings with SM leptons. In this model, some new parameters with CP-violating phases are considered, so there are new contributions to muon anomalous magnetic dipole moment (MDM) and electric dipole moments (EDMs) of lepton. Therefore, we study the one-loop corrections to muon MDM and lepton EDMs in the EBLMSSM. Considering the constraints from the lightest CP-even Higgs mass and decays, we calculate the corresponding numerical results. In our used parameter space, the new physics contribution to muon MDM is large, which can remedy the deviation between the SM prediction and experimental result well. New introduced CP-violating phases also affect the lepton EDMs in a certain degree.