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

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.

Comments: 20 pages, 10 figures v2: Matches published version (Dec 2021)