$VH+\text{jet}$ production in hadron-hadron collisions up to order $\alpha_s^3$ in perturbative QCD

Understand

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 $\alpha_s^3$.

• 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 $\sqrt{s} = 13~\text{TeV}$ 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 ($n_{\text{jet}} = 1$) and inclusive ($n_{\text{jet}} \geq 1$) jet categories.