VH + jet production in hadron-hadron collisions up to order $$ {\alpha}_{\mathrm{s}}^3 $$ in perturbative QCD

Abstract

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 $$ {\alpha}_{\mathrm{s}}^3 $$ α 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 $$ \sqrt{s} $$ s = 13 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 (njet = 1) and inclusive (njet ≥ 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.

ZH production in gluon fusion at NLO in QCD

“…The loop-induced gluon channel formally enters at next-to-next-to-leading order (NNLO), with respect to the pp → ZH process. However, due to the dominance of the gluon parton distribution function (PDF) at the LHC, this channel is sizeable; it contributes about 6% to the total NNLO cross section and becomes significant in the boosted Higgs regime for p H T 150 GeV [5][6][7][8][9]. For more details about calculations of higher-order corrections to the pp → ZH process we refer to Ref.…”

ZH production in gluon fusion at NLO in QCD

“…The loop-induced gluon channel formally enters at next-to-next-to-leading order (NNLO), with respect to the pp → ZH process. However, due to the dominance of the gluon parton distribution function (PDF) at the LHC, this channel is sizeable; it contributes about 6% to the total NNLO cross section and becomes significant in the boosted Higgs regime for p H T 150 GeV [5][6][7][8][9]. For more details about calculations of higher-order corrections to the pp → ZH process we refer to ref.…”

Automation of antenna subtraction in colour space: gluonic processes

“…It is the objective of this paper to enable the automation of the NNLO antenna subtraction method [8,9], which is based up to now on the identification of single and double real radiation patterns in colour-ordered subprocess contributions. This method has been applied successfully in computing NNLO corrections to a variety of hadron-collider processes [30][31][32][33][34][35][36][37][38]. Working towards a fully automated workflow, we propose a complete reformulation, named colourful antenna subtraction, based on a colour-space representation of parton-level subprocesses and subtraction terms.…”