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We calculate, for the first time, the NNLO QCD corrections to identifiedheavy hadron production at hadron colliders. The calculation is based on aflexible numeric framework which allows the calculation of any distribution ofa single identified heavy hadron plus jets and non-QCD particles. As a firstapplication we provide NNLO QCD predictions for several differentialdistributions of $B$ hadrons in $t\bar t$ events at the LHC. Among others,these predictions are needed for the precise determination of the top quarkmass. The extension of our results to other processes, like open or associated$B$ and charm production is straightforward. We also explore the prospects forextracting heavy flavor fragmentation functions from LHC data.

B-hadron hadro-production in NNLO QCD: application to LHC $t\bar{t}$ events with leptonic decays