We consider the simultaneous measurement of the Higgs ($p_t^H$) and the leading jet ($p_t^J$) transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit $p_t^H,p_t^J\ll m_H$ 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 $p_t^J\le p_t^{J,v}$ on the accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider.

• Received 26 September 2019
• Revised 2 March 2020
• Accepted 22 May 2020
• Corrected 8 February 2021

DOI:https://doi.org/10.1103/PhysRevLett.124.252001

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Published by the American Physical Society