Precise predictions for polarised weak bosons at the LHC

Precise and accurate Standard Model predictions are needed for polarised weak bosons in LHC processes, in order to perform template fits of data and to enhance the sensitivity to possible new-physics effects. We have proposed a general strategy to compute polarised cross-sections including radiative QCD and electroweak corrections to the production and decay of bosons. The method relies 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 LHC di-boson polarisation analyses in semi-leptonic decay channels.