Higgs Transverse Momentum with a Jet Veto: A Double-Differential Resummation

We consider the simultaneous measurement of the Higgs (pHt) and the leading jet (pJt) transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit pHt, pJt ≪mH up to next-to-next-to-leading-logarithmic order. This work constitutes the first simultaneous (double differential) resummation for two kinematic observables of which one involves a jet algorithm in hadronic collisions, and provides an important milestone in the theoretical understanding of joint resummations. As an application, we provide precise predictions for the Higgs transverse-momentum distribution with a veto pJt ≤ pJ, vt on the accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider.