What does the CMS measurement of W-polarization tell us about the underlying theory of the coupling of W-bosons to matter?

We discuss results of the CMS collaboration on the sensitivity of the LHC to W boson polarisation in the process pp -> W+/-+ jet -> e(+/-jet)+ 6 P-T using the L-P variable directly connected to theta* angle of the outgoing lepton in the rest frame of the decaying W. We have shown that for a given L-P, interference between different polarizations of the Wboson is not negligible, and needs to be taken into account when considering the differential cross-section with respect to L-P. The L-P variable suggested by CMS collaboration is highly suitable variable to study LHC sensitivity to g(V), g(A) couplings of W-boson to fermions. We note that the experimental sensitivity to W-boson polarization which is much higher than that to (g(V), g(A)) parameter space can be turned around and used to identify deviations from the Standard Model as a signal for new physics at the LHC.