  We study the range of Higgs masses predicted by High-Scale Supersymmetry and
by Split Supersymmetry, using the matching condition for the Higgs quartic
coupling determined by the minimal field content. In the case of Split
Supersymmetry, we compute for the first time the complete next-to-leading order
corrections, including two-loop renormalization group equations and one loop
threshold effects. These corrections reduce the predicted Higgs mass by a few
GeV. We investigate the impact of the recent LHC Higgs searches on the scale of
supersymmetry breaking. In particular, we show that an upper bound of 127 GeV
on the Higgs mass implies an upper bound on the scale of Split Supersymmetry of
about 10^8 GeV, while no firm conclusion can yet be drawn for High-Scale
Supersymmetry.
