Higgs bosons in the NMSSM with exact and slightly broken PQ-symmetry

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We explore the Higgs sector of the NMSSM in the limit when the Peccei--Quinn symmetry is exact or only slightly broken. In this case the Higgs spectrum has a hierarchical structure which is caused by the stability of the physical vacuum. We find a strong correlation between the parameters of the NMSSM if $κ=0$ or $κ\lesssim λ^2$. It allows one to distinguish the NMSSM with exact or softly broken PQ-symmetry from the MSSM even when extra scalar and pseudoscalar Higgs states escape direct detection.
Prepared for 18th International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP 2004), St.Petersburg, Russia, 17-23 June 2004

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