One-loop corrections to the Higgs sector in minimal supergravity models

We study the Higgs spectrum of the minimal supersymmetric standard model in the context of supergravity models with radiative gauge-symmetry breaking, including the leading one-loop corrections. We find that, unlike in more general scenarios, these corrections cannot change the ordering of the Higgsboson masses as predicted by tree-level expressions. Moreover, the upper bound on the mass of the lightest Higgs boson is reduced compared to the general case; however, even in the most restrictive supergravity model the Higgs sector might escape detection at the CERN Large Electron-Positron Collider LEP 200. We also present an expression for the one-loop-corrected charged-Higgs-boson mass, and describe an improved calculation of the bound on the lightest Higgs boson in general global supersymmetry scenarios.