A new approach to the Higgs transverse-momentum resummation at NNLL+NNLO

TL;DR

This paper introduces a novel momentum-space resummation method for Higgs transverse-momentum distribution at NNLL+NNLO, improving accuracy and avoiding singularities, with potential applications to other observables.

Contribution

It presents a new resummation approach in momentum space at NNLL+NNLO accuracy, specifically applied to Higgs production, enhancing precision and generalizability.

Findings

First matched NNLL+NNLO predictions for Higgs production.

Resummation method free of kinematic singularities at small transverse momentum.

Applicable to various observables with infrared cancellations.

Abstract

We propose a new approach to the resummation of the transverse-momentum distribution of a high-mass colour-singlet system in hadronic collisions. The resummation is performed in momentum space and is free of kinematic singularities at small transverse momentum. We derive a formula accurate at the next-to-next-to-leading-logarithmic level, and present the first matched predictions to next-to-next-to-leading order for Higgs-boson production in gluon fusion at the LHC. This method can be adapted to all observables featuring kinematic cancellations in the infrared region.