We outline the computational details to obtain mixed EW-QCD corrections to on-shell production of a single vector boson at the LHC at two-loop level. We use the novel method of differential equation to obtain the pure virtual, real-virtual and double-real master integrals. Finally, we obtain the O(ααs) corrections to the total partonic cross section of the process qq ̄ → Z + X.
R. et al. (Tue,) studied this question.