Abstract
The minimal supersymmetric extension of the standard model (MSSM) is extended to the SSM, whose local gauge group is . To obtain the SSM, we add new superfields to the MSSM, namely, three Higgs singlets and right-handed neutrinos . The charge conjugate and parity (CP) violating effects are considered to study the lepton electric dipole moment (EDM) in the SSM. There are more CP violating phases in the SSM than in the standard model (SM). In this model, several new parameters are considered as CP violating phases; hence, there are new contributions to lepton EDMs. This is conducive to exploring the source of CP violation and probing new physics beyond the SM.
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