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.

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

References in corpus (18)

• LHAPDF6: parton density access in the LHC precision era
• Single-top hadroproduction in association with a W boson
• Scalar one-loop 4-point integrals
• The complex-mass scheme for perturbative calculations with unstable particles
• Evidence for Electroweak Production of $W^{\pm }{W}^{\pm }jj$ in $pp$ Collisions at $\sqrt{s}=8$ TeV with the ATLAS Detector
• Study of vector boson scattering and search for new physics in events with two same-sign leptons and two jets
• Polarized QED splittings of massive fermions and dipole subtraction for non-collinear-safe observables
• Next-to-leading order QCD corrections to W+W- production via vector-boson fusion
• Measurements of production cross sections of WZ and same-sign WW boson pairs in association with two jets in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Measurement of vector boson scattering and constraints on anomalous quartic couplings from events with four leptons and two jets in proton-proton collisions at sqrt(s) = 13 TeV
• QCD corrections to charged triple vector boson production with leptonic decay
• Measurement of electroweak WZ boson production and search for new physics in WZ $+$ two jets events in pp collisions at $\sqrt{s}=$ 13 TeV
• Complete NLO corrections to ${\mathrm{W}}^{+}{\mathrm{W}}^{+}$ scattering and its irreducible background at the LHC
• Evidence for electroweak production of four charged leptons and two jets in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• QCD and electroweak corrections to WZ scattering at the LHC
• W${}^{+}$W${}^{-}$ boson pair production in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• NLO QCD and EW corrections to vector-boson scattering into ZZ at the LHC
• Full NLO predictions for vector-boson scattering into Z bosons and its irreducible background at the LHC

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• QCD effects in electroweak $WZjj$ production at current and future hadron colliders
• NLO corrections to triple vector-boson production in final states with three charged leptons and two jets
• Higgs production via vector-boson fusion at the LHC
• Constraining off-shell Higgs boson production and the Higgs boson total width using $WW\to \ell \nu \ell \nu$ final states with the ATLAS detector
• Electroweak $W^{+}{W}^{+}$ production in association with three jets at NLO QCD matched with parton shower