Precision calculations of polarized cross sections of multi-boson production processes at LHC

Massive diboson pairs are abundantly produced in collisions at the LHC. These events have been used to extract the doubly polarized WZ and ZZ cross sections by ATLAS and CMS. The doubly longitudinal components are of particular interest because they are sensitive to the electroweak (EW) symmetry-breaking mechanism. In this talk, after a brief summary of the experimental and theoretical status, I will discuss our calculations of the next-to-leading order QCD+EW corrections to the polarized cross sections using the double-pole approximation. Finally, extension to the case of triboson production will be presented.