  We present state-of-the-art high-precision theory predictions for the
dominant angular coefficients parametrizing the spin-correlations in the
production and decay of a W-boson produced at transverse momentum larger than
30 GeV. The computation at NNLO QCD and NLO EW accuracy are combined to obtain
differential distributions in the W-boson transverse momentum and rapidity. The
found results show up to 10 % corrections in certain regions of phase space,
while the scale bands are significantly reduced as compared to NLO QCD.
