QCD and electroweak corrections to WZ scattering at the LHC

We present the first computation of the full next-to-leading-order QCD and electroweak corrections to the WZ scattering process at the LHC. All off-shell, gauge-boson-decay, and interference effects are taken into account for the process $$\mathrm{p}$ $\mathrm{p}$ \to \mu^+\mu^-$\mathrm{e}$^+\nu_$\mathrm{e}$ $\mathrm{j}$ $\mathrm{j}$ + X$attheorders$$\mathcal{O}${\left( \alpha_$\mathrm{s}$ \alpha^6 \right)}$and$$\mathcal{O}${\left( \alpha^7 \right)}$. The electroweak corrections feature the typical Sudakov behaviour towards high energy and amount to $-16\mathrm{\%}$ relative to the electroweak contribution to the integrated cross section. Moreover, the corrections induce significant shape distortions in differential distributions. The next-to-leading-order analysis of the quark- and gluon-induced channels is supplemented by a leading-order study of all possible contributions to the full $4\mathrm{\ell }+2jets$ production cross section in a realistic fiducial phase-space volume.