Logarithmic corrections to the QCD component of same-sign W -pair production for vector boson scattering studies

We present the results of the first calculation of the logarithmic corrections to the QCD contribution to same-sign $W$-pair production, $pp\\ensuremath{\\rightarrow}{e}^{\\ifmmode\\pm\\else\\textpm\\fi{}}{\\ensuremath{\\nu}}_{e}{\\ensuremath{\\mu}}^{\\ifmmode\\pm\\else\\textpm\\fi{}}{\\ensuremath{\\nu}}_{\\ensuremath{\\mu}}jj$, for same-sign charged leptons. This includes all leading logarithmic contributions which scale as ${\\ensuremath{\\alpha}}_{W}^{4}{\\ensuremath{\\alpha}}_{s}^{2+k}{\\mathrm{log}}^{k}(\\stackrel{^}{s}/{p}_{\\ensuremath{\\perp}}^{2})$. 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 cuts. These select regions of phase space where logarithms in $\\stackrel{^}{s}/{p}_{\\ensuremath{\\perp}}^{2}$ 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.