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We derive a calculable upper limit on the mass of the lightest Higgs boson in perturbatively valid supersymmetric theories with arbitrary Higgs sectors. We assume a supersymmetry spectrum around or below 1 TeV and the standard model gauge symmetry, but place no restrictions on the Higgs sector. We estimate m₇^0146 GeV for Mₓ100 GeV from all effects except possible additional heavy fermions beyond top (which could increase the limit approximately 12 GeV per extra family) ; for 60100 GeV we find m₇^0156 GeV. In most explicitly constructed models the lightest Higgs boson mass does not saturate the upper limit.
Kane et al. (Mon,) studied this question.