  Measuring the polarization of electroweak bosons at the LHC allows for
important tests of the electroweak-symmetry-breaking mechanism that is realized
in nature. Therefore, precise Standard Model predictions are needed for the
production of polarized bosons in the presence of realistic kinematic
selections. We formulate a method for the calculation of polarized
cross-sections at NLO that relies on the pole approximation and the separation
of polarized matrix elements at the amplitude level. In this framework, we
compute NLO-accurate cross-sections for the production of two polarized Z
bosons at the LHC, including for the first time NLO EW corrections and
combining them with NLO QCD corrections and contributions from the
gluon-induced process.
