NNLO mixed EW-QCD corrections to single vector boson production

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(α αs) corrections to the total partonic cross section of the process qq → Z + X.