  We present a next-to-next-to-leading order accurate description of associated
HW production consistently matched to a parton shower. The method is based on
reweighting events obtained with the HW plus one jet NLO accurate calculation
implemented in POWHEG, extended with the MiNLO procedure, to reproduce NNLO
accurate Born distributions. Since the Born kinematics is more complex than the
cases treated before, we use a parametrization of the Collins-Soper angles to
reduce the number of variables required for the reweighting. We present
phenomenological results at 13 TeV, with cuts suggested by the Higgs Cross
Section Working Group.
