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We present the computation of Higgs boson production in association with ajet at the LHC including QCD corrections up to NNLO. The calculation includesthe subsequent decay of the Higgs boson into four leptons, allowing for thefull reconstruction of the final-state kinematics. In anticipation of improvedLHC measurements based on the full Run II dataset, we present a study forsingle- and double-differential cross sections within the fiducial volume asdefined in prior ATLAS analyses. Higher-order corrections are found to have asizeable impact on both normalisation and shape of differential cross sections.

NNLO QCD Corrections for Higgs-plus-jet Production in the Four-lepton Decay Mode