Full and approximated NLO predictions for like-sign W-boson scattering at the LHC

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Main Authors: Dittmaier, Stefan, Schwan, Christopher, Winterhalder, Ramon
Format: Preprint
Published: 2024
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author Dittmaier, Stefan
Schwan, Christopher
Winterhalder, Ramon
author_facet Dittmaier, Stefan
Schwan, Christopher
Winterhalder, Ramon
contents We report on a recent calculation of next-to-leading-order (NLO) QCD and electroweak corrections to like-sign W-boson scattering at the Large Hadron Collider, including all partonic channels and W-boson decays in the process $pp \to e^+ ν_e μ^+ ν_μjj + X$. The calculation is implemented in the Monte Carlo integrator Bonsay and comprises the full tower of NLO contributions of the orders $α_s^3α^4$, $α_s^2α^5$, $α_sα^6$, and $α^7$. Our numerical results confirm and extend previous results, in particular the occurrence of large purely electroweak corrections of the order of $\sim-12\%$ for integrated cross sections, which get even larger in distributions. We construct a "VBS approximation" for the NLO prediction based on partonic channels and gauge-invariant (sub)matrix elements potentially containing the vector-boson scattering (VBS) subprocess and on resonance expansions of the Wdecays. The VBS approximation reproduces the full NLO predictions within $\sim1.5\%$ in the most important regions of phase space. Moreover, we discuss results from different versions of "effective vector-boson approximations" at leading order, based on the collinear emission of W bosons of incoming (anti)quarks. However, owing to the only mild collinear enhancement and the design of VBS analysis cuts, the quality of this approximation turns out to be only qualitative at the LHC.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18286
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Full and approximated NLO predictions for like-sign W-boson scattering at the LHC
Dittmaier, Stefan
Schwan, Christopher
Winterhalder, Ramon
High Energy Physics - Phenomenology
We report on a recent calculation of next-to-leading-order (NLO) QCD and electroweak corrections to like-sign W-boson scattering at the Large Hadron Collider, including all partonic channels and W-boson decays in the process $pp \to e^+ ν_e μ^+ ν_μjj + X$. The calculation is implemented in the Monte Carlo integrator Bonsay and comprises the full tower of NLO contributions of the orders $α_s^3α^4$, $α_s^2α^5$, $α_sα^6$, and $α^7$. Our numerical results confirm and extend previous results, in particular the occurrence of large purely electroweak corrections of the order of $\sim-12\%$ for integrated cross sections, which get even larger in distributions. We construct a "VBS approximation" for the NLO prediction based on partonic channels and gauge-invariant (sub)matrix elements potentially containing the vector-boson scattering (VBS) subprocess and on resonance expansions of the Wdecays. The VBS approximation reproduces the full NLO predictions within $\sim1.5\%$ in the most important regions of phase space. Moreover, we discuss results from different versions of "effective vector-boson approximations" at leading order, based on the collinear emission of W bosons of incoming (anti)quarks. However, owing to the only mild collinear enhancement and the design of VBS analysis cuts, the quality of this approximation turns out to be only qualitative at the LHC.
title Full and approximated NLO predictions for like-sign W-boson scattering at the LHC
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.18286