Upper Bounds on the Lightest Higgs Boson Mass in General Supersymmetric Standard Models

In a general supersymmetric standard model there is an upper bound mh on the tree level mass of the CP = +1 lightest Higgs boson which depends on the electroweak scale, tanand the gauge and Yukawa couplings of the theory. When radiative corrections are included, the allowed region in the (mh,mt) plane depends on the scale �, below which the theory remains perturbative, and the supersymmetry breaking scales, that we fix to 1 TeV . In the minimal model with � = 10 16 GeV : mh < 130 GeV and mt < 185 GeV . In non- minimal models with an arbitrary number of gauge singlets and � = 10 16 GeV : mh < 145 GeV and mt < 185 GeV . We also consider supersymmetric standard models with arbitrary Higgs sectors. For models whose couplings saturate the scale � = 10 16 GeV we find mh < 155 GeV and mt < 190 GeV . As one pushes the saturation scaledown tos, the bounds on mh and mt increase. For instance, in models with � = 10 TeV , the upper bounds for mh and mt go to 415 GeV and 385 GeV , respectively.