Next-to-leading order QCD corrections to $bg\to t{W}^{-}$ at the CERN Large Hadron Collider

The next-to-leading order QCD corrections to the Standard Model process of single top production, $bg\to t{W}^{-}$, for the CERN Large Hadron Collider with $\sqrt{s}=14$ TeV have been calculated. For renormalization and factorization scales $\mu ={\mu }_0$ (${\mu }_0=m_t+m_W$), the NLO hadronic cross section is $\sim 37$ pb, while $\sim 25 $ pb for tree level. The NLO QCD corrections can enhance the cross section by a factor from 1.33 to 1.66 for $\frac{{\mu }_0}{2}<\mu <2{\mu }_0$.