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Extending BLMSSM with exotic Higgs superfields $(\Phi_{NL},\varphi_{NL})$ andsuperfields ($Y,Y^\prime$), one obtains the new model called as EBLMSSM, whereexotic leptons are heavy and have tree level couplings with SM lepton. In thismodel, some new parameters with CP-violating phases are considered, so thereare new contributions to lepton anomalous magnetic dipole moments (MDMs) andelectric dipole moments (EDMs). Therefore, we study the one-loop, two-loopBarr-Zee and two-loop Rainbow type corrections to lepton MDMs and EDMs in theEBLMSSM. Considering the constraints from the lightest CP-even Higgs mass anddecays, we calculate the corresponding numerical results. In our used parameterspace, the new physics contributions to lepton MDMs are large, which can remedythe deviation between the SM prediction and experimental result well. Newintroduced CP-violating phases also affect the lepton EDMs in a certain degree.

The two-loop corrections to lepton MDMs and EDMs in the EBLMSSM