Higgs plus one jet production at NNLO

We present the computation of Higgs boson plus one jet production at NNLO at the LHC. The computation is carried out in the heavy-top-quark approximation and using the antenna subtraction formalism to handle the IR divergent structure of the individual contributions. All channels and all colours are included. We illustrate aspects of the subtraction formalism and present results for the total cross section as well as distributions in the kinematical variables using a realistic experimental setting. We make a comparison between our results and recent ATLAS data for $H+j$ production.