We examine the spectrum of supersymmetric particles predicted by grand
unified theoretical (GUT) models where the electroweak symmetry break
ing is accomplished radiatively. We evolve the soft-supersymmetry-brea
king parameters according to the renormalization group equations (RGE)
. The minimization of the Higgs potential is conveniently described by
means of tadpole diagrams. We present complete one-loop expressions f
or these minimization conditions, including contributions from the mat
ter and the gauge sectors. We concentrate on the low tanbeta fixed poi
nt region (that provides a natural explanation of a large top quark ma
ss) for which we find solutions to the RGE satisfying both experimenta
l bounds and fine-tuning criteria. We also find that the constraint fr
om the consideration of the lightest supersymmetric particle as the da
rk matter of the Universe is accommodated in much of parameter space w
here the lightest neutralino is predominantly gaugino. The supersymmet
ric mass spectrum displays correlations that are model independent ove
r much of the GUT parameter space.