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We present a general method for computing QCD jet cross sections at next-to-next-to-leading order accuracy, called CoLoRFulNNLO. We also discuss how to combine the predictions for the production of a Standard Model Higgs boson and its decay into a b-quark pair, both computed at the next-to-next-to-leading order accuracy, to predict precisely the kinematic distributions of b-jets emerging in the process pp→ H +X → bb+X.

Fully Differential Decay Rate of a Standard Model Higgs Boson into Two $b$-jets at NNLO