Double-pole approximation for leading-order semi-leptonic vector-boson scattering at the LHC

TL;DR

This paper provides a comprehensive leading-order calculation of semi-leptonic vector-boson scattering at the LHC, introducing a double-pole approximation method and analyzing its validity across different kinematic regions.

Contribution

It presents the first systematic double-pole approximation for the process and compares it with full off-shell calculations to assess accuracy.

Findings

Double-pole approximation is valid within certain kinematic regions.

The study offers detailed differential predictions for vector-boson scattering.

Inclusion of higher-order QCD corrections improves prediction precision.

Abstract

Measuring vector-boson scattering beyond the fully-leptonic final state is becoming possible at the LHC, which demands to have a solid control on the theory predictions for all final states of this class of processes. In this work we present a full off-shell leading-order calculation for the process $\mathrm{p}\mathrm{p} \to \ell \nu_\ell + 4\mathrm{j}$ in two fiducial regions which are particularly relevant for its experimental measurement. In addition to the fully electroweak order, i.e. $\mathcal{O}(\alpha^6)$, we complement our results with $\mathcal{O}(\alpha_\mathrm{s}\alpha^5)$ and $\mathcal{O}(\alpha_\mathrm{s}^2\alpha^4)$ for inclusive predictions. At $\mathcal{O}(\alpha^6)$ we present for the first time a systematic treatment of the process in double-pole approximation and we perform a detailed study of its range of validity by considering inclusive and differential predictions compared to the full off-shell calculation.