  The extraction of the W-boson mass, a fundamental parameter of the Standard
Model, from hadron-hadron collision requires precise theory predictions. In
this regard, angular coefficients are crucial to model the dynamics of W-boson
production. In this work, we provide, for the first time, angular coefficients
at NNLO QCD + NLO EW accuracy for finite transverse momentum W-boson at the
LHC. The corrections can reach up to 10% in certain regions of phase space.
They are accompanied by a significant reduction of the scale uncertainty. This
work should, besides providing reference values for theory-data comparison,
provide state-of-the-art theory input for W-boson mass measurements.
