NLO QCD and EW corrections to vector-boson scattering into ${\mathrm{W}}^{+}{\mathrm{W}}^{-}$ at the LHC

Abstract

We present the full next-to-leading-order electroweak and QCD corrections to vector-boson scattering into a pair of off-shell opposite-sign W bosons decaying into leptons of different flavour at the LHC. We include full leading-order predictions for the irreducible background. Explicitly, we investigate the process $\mathrm{pp}\to {\mathrm{e}}^{+}{\nu }_{\mathrm{e}}{\mu }^{-}{\bar{\nu }}_{\mu }\mathrm{jj}+X$ at leading orders $O({\alpha }^6)$, $O({\alpha }_{\mathrm{s}}{\alpha }^5)$, $O({\alpha }_{\mathrm{s}}^2{\alpha }^4)$, supplemented by the loop-induced $O({\alpha }_{\mathrm{s}}^4{\alpha }^4)$ contribution, and at next-to-leading orders $O({\alpha }^7)$ and $O({\alpha }_{\mathrm{s}}{\alpha }^6)$ in two setups providing fiducial cross sections as well as differential distributions. We take full account of photon-induced next-to-leading-order contributions, which prove to be non negligible. With $-11.4\%$ and $-6.7\%$ in the two setups, the electroweak corrections are smaller than for other vector-boson-scattering processes. This can be traced back to the presence of the Higgs-boson resonance in the fiducial phase space, whose effects we analyse within an additional unphysical, but manifestly gauge-invariant setup. The QCD corrections amount to $-5.1\%$ and $-21.6\%$ in the two setups. The large size of the latter correction, compared to other vector-boson scattering processes, is explained by a very restrictive definition of its fiducial phase space.

arXiv comment34 pages, 29 pdf figure files, some extra comments added, version that appeared in JHEP

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