Abstract
We present a next-to-next-to-leading order (NNLO) accurate description of associated HZ production, followed by the Higgs boson decay into a pair of b-quarks treated at next-to-leading order (NLO), consistently matched to a parton shower (PS). The matching is achieved by performing reweighting of the HZJ-MiNLO events, using multi-dimensional distributions that are fully-differential in the HZ Born kinematics, to the NNLO results obtained by using the MCFM-8.0 fixed-order calculation. Additionally we include the gg → HZ contribution to the discussed process that appears at the mathcal{O}left({alpha}_s^2right) . We present phenomenological results obtained for 13 TeV hadronic collisions.
Highlights
No gluons in the initial state: in this case higher-order corrections are typically moderate, and including next-to-next-to-leading order (NNLO) corrections leads to very stable results, with small perturbative uncertainties
We present a next-to-next-to-leading order (NNLO) accurate description of associated HZ production, followed by the Higgs boson decay into a pair of b-quarks treated at next-to-leading order (NLO), consistently matched to a parton shower (PS)
The matching is achieved by performing reweighting of the HZJ-MiNLO events, using multi-dimensional distributions that are fully-differential in the HZ Born kinematics, to the NNLO results obtained by using the MCFM-8.0 fixed-order calculation
Summary
In this work we consider the production of a Higgs boson in association with a Z boson, followed by the Z boson decay into a pair of leptons and the Higgs boson decay into pair of b-quarks pp −→ HZ −→ bb + −. In this work we use the MiNLO prescription only for the production part of the process, and match this to a “resonance improved” POWHEG implementation of the NLO QCD calculation of the H → bb decay. In the formula above the additional αs factor in the NLO correction is contained implicitly in the V and R functions, as well as in dΓ(bbV ) and dΓ(bbR) In the former two, following the MiNLO prescription, we set the central renormalisation scale to μR = qt, whereas for the decay we set the central scale to μR = MH since this is the natural scale for the decay and no MiNLO procedure is applied to it (in appendix A we denote as μr the renormalisation scale for the decay). We obtain NNLO prediction (without the loop-induced gg → HZ contribution, which is discussed in section 2.4) for the production combined with NLO corrections to the decay from MCFM-8.0, whose output is dσNNLO(Φ ) ̄bb = Br(H → bb) ·. We describe how we proceed to obtain distributions differential in the Born phase space Φ . ̄bb
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