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I will discuss the calculation of the two-loop soft and beam functions for the transverse-momentum distribution of the leading jet produced in association with any colour-singlet system (e.g. a Higgs or a Z boson).
This constitutes a central ingredient for the resummation of the above distribution, as well as for the jet-vetoed cross section at the next-to-next-to-next-to-leading logarithmic order.