Fragmentation processes at hadron colliders at NNLO+NNLL
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In this talk, I will discuss several recent NNLO calculations of fragmentation processes at the LHC. These are processes where the production of an object of interest - e.g. a specific hadron or a jet - is described using a factorisation theorem that splits the calculation into two steps: the production of a parton, and the fragmentation of that parton into the object of interest. I will start by discussing a calculation of open-B production at the LHC, detailing how the factorisation allows us to resum logarithms of the b-quark mass with NNLL accuracy. I will then present the first NNLO calculation of light-hadron production at the LHC, which finally enables global NNLO fragmentation function fits. I will finish by discussing a calculation of inclusive jet production, in which logarithms of the jet radius parameter R are resummed with NNLL accuracy.