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In this article we discuss the calculation of single top-quark production inthe t channel at two-loop order in QCD. In particular we present thedecomposition of the amplitude according to its spin and colour structure andpresent complete results for the two-loop amplitudes in terms of masterintegrals. For the vertex corrections compact analytic expressions are given.The box contributions are implemented in a publicly available C program.

Calculation of two-loop QCD corrections for hadronic single top-quark production in the t channel