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We study scenarios in the minimal and next-to minimal supersymmetric modelsin which the lightest CP-even Higgs boson can have mass below the 114 GeVstandard model LEP limit by virtue of reduced ZZ coupling due to substantialmixing among the Higgs bosons. We pay particular attention to the size ofcorrections from superpartners needed for these scenarios to be viable andpoint to boundary conditions at large scales which lead to these scenarioswhile at the same time keeping electroweak fine tuning modest in size. We findthat naturalness of electroweak symmetry breaking in the mixed-Higgs scenariosof both models points to the same region of soft supersymmetry breaking terms,namely those leading to large mixing in the stop sector at the electroweakscale, especially if we also require that the lightest CP-even Higgs explainsthe Higgs-like LEP events at about 98 GeV.

A Comparison of Mixed-Higgs Scenarios In the NMSSM and the MSSM