  New NLO b->sgamma calculations have become available using resummed radiative
corrections. Using these calculations we perform a global fit of the
supergravity inspired constrained minimal supersymmetric model (CMSSM). We find
that the resummed calculations show similar constraints as the LO calculations,
namely that only with a relatively heavy supersymmetric mass spectrum of the
order of 1 TeV the b-\tau Yukawa unification and the b->sgamma rate can coexist
in the large tanb scenario. The resummed b->sgamma calculations are found to
reduce the renormalization scale uncertainty considerably. The low tanb
scenario is excluded by the present Higgs limits from LEP II. The constraint
from the Higgs limit in the $m_0,m_{1/2}$ plane is severe, if the trilinear
coupling A_0 at the GUT scale is fixed to zero, but is considerably reduced for
$A_0\le -2m_0$. The relatively heavy SUSY spectrum required by \besg
corresponds to a Higgs mass of $m_h=119\pm 1~ (stop masses)}\pm
2~(theory)~\pm~3 (top mass) GeV $ in the CMSSM.
