  The production of jets in charged current deep inelastic scattering (CC DIS)
constitutes a class of observables that can be used to simultaneously test
perturbative predictions for the strong and the electroweak sectors of the
Standard Model. We compute both single jet and di-jet production in CC DIS for
the first time at next-to-next-to-leading order (NNLO) in the strong coupling.
Our computation is fully differential in the jet and lepton kinematics, and we
observe a substantial reduction of scale variation uncertainties in the NNLO
predictions compared to next-to-leading order (NLO). Our calculation will prove
essential for full exploitation of data at a possible future LHeC collider.
