NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence

TL;DR

This paper computes NLO QCD corrections for Higgs plus jet production at the LHC, including full top-quark mass effects, revealing large corrections but similar ratios to the large-mass approximation.

Contribution

It provides the first full top-mass dependent NLO QCD calculation for Higgs plus jet production, improving accuracy over previous approximations.

Findings

NLO corrections are large in magnitude.

The correction ratio is similar to the large top-mass limit.

The method uses numerical sector decomposition for two-loop integrals.

Abstract

We present the next-to-leading order QCD corrections to the production of a Higgs boson in association with one jet at the LHC including the full top-quark mass dependence. The mass of the bottom quark is neglected. The two-loop integrals appearing in the virtual contribution are calculated numerically using the method of Sector Decomposition. We study the Higgs boson transverse momentum distribution, focusing on the high $p_{t,\mathrm{H}}$ region, where the top-quark loop is resolved. We find that the next-to-leading order QCD corrections are large but that the ratio of the next-to-leading order to leading order result is similar to that obtained by computing in the limit of large top-quark mass.