  In supersymmetric models with minimal particle content and without left-right
squark mixing, the conventional wisdom is that the 125.6 GeV Higgs boson mass
implies top squark masses of O(10) TeV, far beyond the reach of colliders. This
conclusion is subject to significant theoretical uncertainties, however, and we
provide evidence that it may be far too pessimistic. We evaluate the Higgs
boson mass, including the dominant three-loop terms at O(\alpha_t \alpha_s^2),
in currently viable models. For multi-TeV stops, the three-loop corrections can
increase the Higgs boson mass by as much as 3 GeV and lower the required stop
mass to 3 to 4 TeV, greatly improving prospects for supersymmetry discovery at
the upcoming run of the LHC and its high-luminosity upgrade.
