Next-to-Leading Order Corrections to Single Top Quark Production and   Decay at the Tevatron: 2. $t$-channel Process
  We present a study of the $t$-channel mode of single top quark production at the upgraded Tevatron $p\bar{p}$ collider, including the next-to-leading order (NLO) QCD corrections to the production and the decay of a single top quark. The narrow width approximation was adopted in order to preserve the spin of the top quark in its production and decay. We discuss the effects of different $O(\alpha_s)$ contributions on the inclusive cross section as well as various kinematic distributions after imposing the relevant cuts to select $t$-channel single top signal events. 
Qing-Hong Cao, Reinhard Schwienhorst, Jorge A. Benitez, Raymond Brock,   C.-P. Yuan