QCD and electroweak corrections to WZ scattering at the LHC

Abstract

We present the first computation of the full next-to-leading-order QCD and electroweak corrections to the WZ scattering process at the LHC. All off-shell, gauge-boson-decay, and interference effects are taken into account for the process $\mathrm{pp}\to {\mu }^{+}{\mu }^{-}{\mathrm{e}}^{+}{\nu }_{\mathrm{e}}\mathrm{jj}+X$ at the orders $\mathcal{O}\left({\alpha }_{\mathrm{s}}{\alpha }^6\right)$ and $\mathcal{O}\left({\alpha }^7\right)$. The electroweak corrections feature the typical Sudakov behaviour towards high energy and amount to $-16\%$ relative to the electroweak contribution to the integrated cross section. Moreover, the corrections induce significant shape distortions in differential distributions. The next-to-leading-order analysis of the quark- and gluon-induced channels is supplemented by a leading-order study of all possible contributions to the full $4\ell+2\mbox{jets}$ production cross section in a realistic fiducial phase-space volume.

28 pages, 44 pdf figures; added more comments on the size of the EW corrections, improved readability of the figures, added $p_{\mathrm{T}}$ distributions of $\mathrm{W}$ and $\mathrm{Z}$, added comment on $\mathrm{tZj}$ background, version to appear in JHEP

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• NLO QCD and EW corrections to off-shell $\mathrm{tZj}$ production at the LHC
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• Higgs production via vector-boson fusion at the LHC
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