Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum

TL;DR

This paper provides a highly precise theoretical prediction for the Higgs boson transverse momentum distribution by combining advanced QCD calculations, significantly reducing uncertainties and improving the understanding of Higgs production dynamics.

Contribution

It introduces a novel matching of NNLO QCD corrections with N$^3$LL resummation, enhancing the accuracy of the $p_T$ spectrum prediction across all ranges.

Findings

Improved precision for $p_T<35$ GeV with uncertainties below 6%.

Achieved a convergent perturbative series for all $p_T$ values.

Significantly reduced theoretical uncertainties in Higgs $p_T$ predictions.

Abstract

The transverse momentum ($p_T$) distribution of Higgs bosons at hadron colliders enables a detailed probe of its production dynamics and is a key ingredient to precision studies of Higgs boson properties, but receives very large QCD corrections. We obtain a precision prediction for the $p_T$ spectrum by matching second-order (NNLO) QCD corrections at large $p_T$ with resummation of third-order logarithmic (N$^3$LL) corrections at small $p_T$. We achieve significantly improved results for $p_T< 35\,{\rm GeV}$ with perturbative uncertainties $\lesssim \pm 6\%$, and thus a convergent perturbative series for all values of $p_T$.