Next-to-Leading-Order QCD Corrections to Higgs Boson Plus Jet Production with Full Top-Quark Mass Dependence

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 $p_{t,H}$ 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.

Figure 1

Higgs boson transverse momentum spectrum at LO and NLO in QCD in HEFT and with full top-quark mass dependence. The upper panel shows the differential cross sections; in the middle panel we normalize all distributions to the LO HEFT prediction and in the lower panel we show the differential $K$ factors for both the HEFT and the full theory distributions. More details can be found in the text.

Figure 2

Higgs boson transverse momentum spectrum at LO and NLO in QCD with full top-quark mass dependence compared with the NLO predictions in ${\mathrm{FT}}_{\text{approx}}$. The upper panel shows the differential cross sections; in the middle panel we normalize all distributions to the LO prediction and in the lower panel we show the differential ratio between the NLO ${\mathrm{FT}}_{\text{approx}}$ predictions and the full theory ones. More details can be found in the text.