  The process $pp \to W^+W^+jj$ gives rise to an exotic Standard Model
signature at the LHC, involving high-$p_{\perp}$ like-sign leptons, missing
energy and jets. In this brief article the motivation for study, along with
selected results from the computation of NLO QCD corrections to the
QCD-mediated part of this process\cite{us} are presented. It is shown that the
corrections reduce the dependence of the cross-section on renormalisation and
factorisation scales, and produce a relatively hard third jet in a significant
fraction of events.
