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We discuss central exclusive production of $W^+W^-$ pairs in proton-protoncollisions at LHC. Predictions for the total cross section and differentialdistributions in transverse momentum of $W^{\pm}$ and $WW$ invariant mass arepresented. We discuss both $\gamma \gamma \to W^+ W^-$ mechanism as well as anew mechanism of exclusive diffractive production. The amplitude for the latterprocess is calculated in the Durham model. We compare the two (QED and QCD)types of contributions. The diffractive contribution is only a small fractionof fb compared to the $\gamma \gamma$ contribution which is of the order of 100fb. This opens a possibility of searches for anomalous four-boson $\gamma\gamma W^+ W^-$ coupling due to physics beyond Standard Model.

Diffractive pQCD mechanisms of exclusive production of $b \bar b$ dijets and $W^+ W^-$ pairs in proton-proton collisions