Double-differential resummation of Higgs and leading-jet transverse momentum

Focusing on Higgs-boson production in gluon fusion, a resummation is presented of all large logarithms that originate when both the Higgs and the leading-jet transverse momenta are much smaller than the Higgs mass mH, reaching next-to-next-to-leading logarithmic (NNLL) accuracy. As an application, predictions are provided for the Higgs transverse-momentum distribution with a veto on accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider.