Abstract
We study the renormalization-group evolution of gauge coupling constants including mass threshold effects of both light and heavy particles, in the minimal supersymmetric SU(5) grand unified model assuming supersymmetry breaking at \ensuremath{\lesssim}1 TeV. We show that a certain combination of superheavy masses ${\mathit{M}}_{\mathit{V}}^{2}$${\mathit{M}}_{\mathrm{\ensuremath{\Sigma}}}$ is tightly constrained, while the mass of the color-triplet Higgs boson, ${\mathit{M}}_{\mathit{H}}$, can vary from 2\ifmmode\times\else\texttimes\fi{}${10}^{13}$ to 2\ifmmode\times\else\texttimes\fi{}${10}^{17}$ GeV. With a relatively heavy color-triplet mass (${\mathit{M}}_{\mathit{H}}$\ensuremath{\sim}${10}^{17}$ GeV), the present nucleon-decay experiments still allow superparticles below 1 TeV. The importance of a precise measurement on ${\mathrm{\ensuremath{\alpha}}}_{3}$ is stressed.
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