Calculation of two-loop QCD corrections for hadronic single top-quark   production in the t channel
  In this article we discuss the calculation of single top-quark production in the t channel at two-loop order in QCD. In particular we present the decomposition of the amplitude according to its spin and colour structure and present complete results for the two-loop amplitudes in terms of master integrals. For the vertex corrections compact analytic expressions are given. The box contributions are implemented in a publicly available C program. 
M. Assadsolimani, P. Kant, B. Tausk, P. Uwer
hep-ph