$O\left({\alpha }_s\right)$ corrections to $b\overline{b}\to W^{\pm }{H}^{\mp }$ at the CERN Large Hadron Collider

The $O\left({\alpha }_s\right)$ corrections to the cross section for $b\overline{b}\to W^{\pm }{H}^{\mp }$ at the CERN Large Hadron Collider are calculated in the minimal supersymmetric standard model in the $\overline{\mathrm{MS}}$ and on-mass-shell renormalization schemes. The results of the two schemes are in good agreement. In the $\overline{\mathrm{MS}}$ scheme, the QCD corrections are negative and within $-14\%\sim -20\%$ for charged Higgs boson mass up to 1 TeV and $\tan \beta >15.\mathrm{}$ For $\tan \beta =2,$ the magnitude of the QCD corrections can be greater than 30%.