We present the first calculation of the full next-to-leading-order electroweak and QCD corrections for vector-boson scattering (VBS) into a pair of Z bosons at the LHC. We consider specifically the process ${ \rm pp\to e^{ +}e^{ -}\mu^{ +}\mu^{ -}jj}+X$ at orders $\mathcal{ O}(\alpha^7)$ and $\mathcal{ O}(\alpha_s\alpha^6)$ and take all off-shell and interference contributions into account. Owing to the presence of enhanced Sudakov logarithms, the electroweak corrections amount to $-16\%$ of the leading-order electroweak fiducial cross section and induce significant shape distortions of differential distributions. The QCD corrections on the other hand are larger ($+24\%$) than typical QCD corrections in VBS. This originates from considering the full computation including tri-boson contributions in a rather inclusive phase space. We also provide a leading-order analysis of all contributions to the cross section for ${ \rm pp \to e^{ +}e^{ -}\mu^{ +}\mu^{ -}jj}+X$ in a realistic setup.
Categories: hep-ph