$k_t$-factorization vs collinear factorization in $W^{+}{W}^{-}$ pair production at the LHC

In this paper, we calculate the inclusive rate of $W^{+}{W}^{-}$ pair production through leptonic decay channels $W^+W^- \to l^+\nu_l + l^{\prime -} \nu_{l’}$inthe$k_t$-factorizationframework\mathrm{.}Wealsoconsidertheexclusive$W^{+} W^{-}$pairproductionthroughtheone-loopinduced$gg \to H \to W^+W^-$ channel that is important for the study of new physics beyond the Standard Model. The results are compared with predictions from the Herwig 7 event generator in the collinear factorization framework and with the experimental data from the ATLAS and the CMS collaborations. It will be shown that our predictions for the $W^{+}{W}^{-}$ boson pair production signals are in agreement with the experimental data as well as the collinear results.