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In the minimal supersymmetric model (MSSM), the upper limit of the lightest Higgs boson mass, , depends strongly on the top quark mass, . We have computed the dominant two-loop radiative corrections to this upper limit of in order to eliminate large uncertainties due to QCD and corrections. It is shown that the QCD corrections significantly reduce the one-loop corrections. As a result, the SUSY parameter space accessible to LEP experiments is significantly increased.

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