Abstract
We present the next-to-leading-order QCD corrected total cross sections and the distributions of the transverse momenta of the final anti-bottom quark, top quark, and charged Higgs boson for the processes of $p\overline{p}/pp\ensuremath{\rightarrow}t\overline{b}{H}^{\ensuremath{-}}+X$ in the minimal supersymmetric standard model at Tevatron and CERN LHC. We find that the next-to-leading-order (NLO) QCD corrections significantly modify the leading-order distributions of the transverse momenta of final particles (${p}_{T}^{b}$, ${p}_{T}^{t}$, and ${p}_{T}^{{H}^{\ensuremath{-}}}$), and the total NLO QCD corrections reduce the dependence of the cross section on the renormalization and factorization scales; in particular, the NLO QCD corrected cross sections at the LHC are nearly independent of these scales. Our results show that the relative correction is obviously related to ${m}_{{H}^{\ensuremath{-}}}$ and $\mathrm{tan}\ensuremath{\beta}$, and the total NLO QCD relative corrections can be beyond $\ensuremath{-}50%$ at Tevatron and approach $\ensuremath{-}40%$ at the LHC in our chosen parameter space.
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