Supersymmetric Higgs Bosons at the Limit

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Using a combination of renormalisation group and effective potential methods, we discuss the bound on the lightest CP-even Higgs boson mass $m_h$ in the next-to-minimal supersymmetric standard model. We find $m_h\leq 146,139,149 \ GeV$ for $m_t=90,140,190 \ GeV$.
(based on a talk presented at the HARC SUSY Workshop, Texas, April 1993, and work done in collaboration with Terry Elliott and Peter White.) 15 pages, Latex, SHEP92/93-12

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