QCD corrections to Higgs boson decays into squarks in the Minimal Supersymmetric Standard Model

We calculate the supersymmetric QCD corrections in order $\alpha_s$ to the the widths of the Higgs boson decays $H^+ \to \st \bar\sb$ and $H^0, A^0 \to \st \bar\st, \sb \bar\sb$ in the on-shell scheme within the Minimal Supersymmetric Standard Model. We find that the QCD corrections are significant, but that the squark pair decay modes are still dominant in a wide parameter region.