  We present a calculation of inclusive diboson (WZ, ZZ, WW) processes at the
LHC in the presence of intermediate polarised weak bosons decaying
leptonically, matching next-to-leading-order accuracy in QCD with parton-shower
effects. Starting from recent developments in polarised-boson simulation based
on the helicity selection at the amplitude level, we have carried out the
implementation in the POWHEG-BOX-RES framework, and validated it against
independent fixed-order calculations. A phenomenological analysis in realistic
LHC setups, as well as a comparison with recent ATLAS measurements, are
presented.
