A search for a standard model-like Higgs boson decaying to two W bosons with the subsequent decay to a final state containing one lepton, one neutrino, and two jets is presented. The results are based on a data sample corresponding to an integrated luminosity of 19.3~fb${}^{-1}$ of proton-proton collisions at $\sqrt{s}=8$~TeV and 5~fb${}^{-1}$ at $\sqrt{s}=7$~TeV collected with the CMS detector at the CERN LHC. Selections to discriminate between the signal and background events are based on kinematic and topological quantities including the angular spin correlations between the decay products. A standard model-like Higgs boson is excluded in the mass ranges 170--180~GeV and 230--545~GeV at 95\% confidence level, while the median expected exclusion ranges are 170--180~GeV and 255--565~GeV. The results are also interpreted within the framework of an effective theory that predicts the existence of two Higgs-like scalar particles, one with $M\sim 126$~GeV, and one that is heavier, which together accomplish the unitarization of the WW scattering cross section.

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