Distinguishing the Higgs scalars of NMSSM and Z' models for large Higgs trilinear couplings

Two well-known extended supersymmetric models, Z' models and NMSSM, are comparatively analyzed in the limit of large trilinear Higgs couplings. The two models are found to have distinguishable Higgs spectra at both tree- and loop- levels. Higgs production through Bjorken processes at an $e^+e^-$ collider is shown to discriminate between the two models.