Limits on the<i>CP</i>-even Higgs-boson masses in the minimal supersymmetric model

Abstract

We calculate corrections to the masses of the two CP-even Higgs bosons in the minimal supersymmetric model. We find an upper bound for the mass of the lighter Higgs scalar, and a lower bound for the mass of the heavier Higgs scalar. In our analysis we consider all possible variations of superparticle masses between 0.1 and 1 TeV. By requiring the light Higgs boson to be greater than the current experimental bound we rule out a region of the tan\ensuremath{\beta}--top-mass parameter space, where tan \ensuremath{\beta} is the ratio of vacuum expectation values of the two Higgs fields. We make our formalism explicit to elucidate the treatment of mass thresholds.