Logarithmic corrections to the QCD component of same-sign W-pair production for VBS studies

TL;DR

This paper calculates the leading logarithmic QCD corrections to same-sign W-pair production in proton-proton collisions, highlighting their impact on distributions used in VBS studies, which is crucial for electroweak coupling measurements.

Contribution

It provides the first calculation of logarithmic corrections to the QCD component of same-sign W-pair production, including all leading logarithmic contributions.

Findings

Logarithmic corrections slightly modify total cross sections.

Distributions relevant for experiments are significantly affected.

QCD contributions are important despite suppression by VBS cuts.

Abstract

We present the results of the first calculation of the logarithmic corrections to the QCD contribution to same-sign $W$-pair production, $pp\to e^\pm \nu_e \mu^\pm \nu_\mu jj$, for same-sign charged leptons. This includes all leading logarithmic contributions which scale as $\alpha_W^4 \alpha_s^{2+k}\log^k(\hat s/p_\perp^2)$. This process is important for the study of electroweak couplings and hence the QCD contributions are usually suppressed through a choice of Vector Boson Scattering (VBS) cuts. These select regions of phase space where logarithms in $\hat s/p_\perp^2$ are enhanced. While the logarithmic corrections lead to a small change for the cross sections, several distributions relevant for experimental studies are affected more significantly.