NNLO QCD study of polarised $W^+ W^-$ production at the LHC

Longitudinal polarisation of the weak bosons is a direct consequence of Electroweak symmetry breaking mechanism providing an insight into its nature, and is instrumental in searches for physics beyond the Standard Model. We perform a polarisation study of the diboson production in the $p p \to e^+\nu_e\mu^-\bar\nu_\mu$ process at NNLO QCD in the fiducial setup inspired by experimental measurements at ATLAS. This is the first polarisation study at NNLO. We employ the double pole approximation framework for the polarised calculation, and investigate NNLO effects arising in differential distributions.