  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 $\frac{\mu_0}{2} < \mu < 2 \mu_0$.
