In order to perform template fits of data and enhance the sensitivity to new-physics effects, precise and accurate theoretical predictions are needed for polarised weak bosons in LHC processes. We have proposed a strategy to compute polarised cross-sections including radiative corrections to the production and decay of bosons, relying on the pole approximation and the separation of polarisation states at amplitude level. After showing some details of the theoretical definition, we present results relevant for di-boson polarisation analyses with semi-leptonic decays.