NLO QCD and EW corrections to vector-boson scattering into W + W − at the LHC

We present the full next-to-leading-order electroweak and QCD corrections to vector-boson scattering into a pair of off-shell opposite-sign W bosons decaying into leptons of different flavour at the LHC. We include full leading-order predictions for the irreducible background. Explicitly, we investigate the process pp → e + ν e μ − ν μ jj + X at leading orders 𝒪 ( α 6 ), 𝒪 ( α s α 5 ), 𝒪 ( α_s^2 α 4 ), supplemented by the loop-induced 𝒪 ( α_s^4 α 4 ) contribution, and at next-to-leading orders 𝒪 ( α 7 )and 𝒪 ( α s α 6 ) in two setups providing fiducial cross sections as well as differential distributions. We take full account of photon-induced next-to-leading-order contributions, which prove to be non negligible. With − 11 . 4