The minimal supersymmetric standard model with universal boundary condition
s and "asymptotic" Yukawa unification is considered. The full one-loop effe
ctive potential for radiative electroweak symmetry breaking as well as the
one-loop corrections to the charged Hi,ags boson, b-quark and tau-lepton ma
sses are included. The CP-even Higgs boson masses are corrected to two-loop
s. The relic abundance of the lightest supersymmetric particle (bino) is ca
lculated by including its coannihilations with the next-to-lightest supersy
mmetric particle (lightest stau) consistently with Yukawa unification. The
branching ratio of b --> s gamma is evaluated by incorporating all the appl
icable next-to-leading order QCD corrections. The bino-stau coannihilations
reduce the bino relic abundance below the upper bound from cold dark matte
r considerations in a sizable fraction of the parameter space allowed by b
--> s gamma for mu > 0. Thus, the mu > 0 case, which also predicts an accep
table b-quark mass, is perfectly compatible with data. (C) 2000 Elsevier Sc
ience B.V. All rights reserved.