We examine in detail the effect of the superheavy particle spectrum on
the claim that recent data from CERN LEP are consistent with a SUSY S
U(5) grand unified theory (GUT) whose superparticle spectrum is charac
terized by a single scale M(S) of approximately 1 TeV, and has three c
ouplings unifying at a scale mu = M(V). Using the most recent LEP dete
rmination of alpha(s), 0.125+/-0.005, we find that SUSY unification re
quires that M(S) < 100 GeV. Larger values of M(S) can be accommodated
by assuming that SIGMA, a multiplet transforming as the adjoint of SU(
5), has a mass 8 to 12 orders of magnitude below the GUT scale, with t
he GUT scale close to or even above the Planck scale. Larger values of
alpha(s), with unification below the Planck scale, may be accommodate
d only by breaking the degeneracy of the color octet and weak triplets
of the SIGMA multiplet, but this splitting appears in SUSY SU(5) GUT'
s only as a gravitational effect in the form of nonrenormalizable oper
ators.