VH plus jet production in hadron-hadron collisions up to order αs3 in perturbative QCD

We present precise predictions for the hadronic production of an on-shell Higgs boson in association with a leptonically decaying gauge boson and a jet up to order alpha(3)(s). We include the complete set of NNLO QCD corrections to both charged- and neutral-current Drell-Yan type contributions, as well as the previously known leading heavy quark loop induced contributions which involve a direct Higgs-quark coupling. As an application, we study a range of differential observables in proton-proton collisions at root s = 13TeV for both the charged- and neutral-current production modes. For each Higgs production process, we assess the improvement in the theoretical uncertainty for both the exclusive (n(jet) = 1) and inclusive (n(jet) >= 1) jet categories. We find that the inclusion of the NNLO corrections to the Drell-Yan type contributions is essential in stabilising the predictions and in reducing the theoretical uncertainty for both inclusive and exclusive jet production for all three modes. This is particularly true in the kinematical regimes associated with low to medium values of the transverse momentum of the produced vector boson and where the differential cross sections are the largest. For the neutral-current process, we find that the heavy quark loop induced contributions have their largest phenomenological impact (an increase in the size of the NNLO corrections, a distortion of the distribution shape and an enlargement of the left over remaining uncertainties) in kinematical regions associated to large values of pT, Z (typically above 150 GeV) where the cross sections are smaller.

Automated summary

The paper presents precise predictions for the production of an on-shell Higgs boson in association with a leptonically decaying gauge boson and a jet, up to alpha(3)(s). The study includes NNLO QCD corrections to both charged- and neutral-current Drell-Yan type contributions, and also considers heavy quark loop induced contributions. Results show that including NNLO corrections is essential for stabilizing predictions and reducing theoretical uncertainty, particularly in kinematical regimes with low to medium transverse momentum values.