Higgs transverse momentum with a jet veto: a double-differential resummation

TL;DR

This paper presents the first double-differential resummation of Higgs and jet transverse momenta in hadronic collisions, improving theoretical predictions for Higgs production with jet vetoes at the LHC.

Contribution

It introduces a novel simultaneous resummation method for two correlated observables involving jets, advancing the understanding of joint resummations in QCD.

Findings

First double differential resummation for Higgs and jet transverse momenta.

Provides precise predictions for Higgs pT distribution with jet veto.

Enhances theoretical tools for Higgs precision measurements at the LHC.

Abstract

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