Towards Wb(b)over-bar + j at NLO with an automatized approach to one-loop computations

We present results for the O(alpha(s)) virtual corrections to qg -> Wb (b) over barq' obtained with a new automatized approach to the evaluation of one-loop amplitudes in terms of Feynman diagrams. Together with the O(alpha(s)) corrections to q (q) over bar' -> Wb (b) over barg, which can be obtained from our results by crossing symmetry, this represents the bulk of the next-to-leading order virtual QCD corrections to Wb (b) over bar + j and Wb + j hadronic production. calculated in a fixed-flavor scheme with four light flavors. Furthermore, these corrections represent a well defined and independent subset of the 1-loop amplitudes needed for the NNLO calculation of Wb (b) over bar. Our approach was tested against several existing results for NLO amplitudes including selected O(alpha(s)) one-loop corrections to W + 3j hadronic production. We discuss the efficiency of our method both with respect to evaluation time and numerical stability.