Abstract
We present predictions for hadronic decays of the Higgs boson at next-to-next-to-leading order (NNLO) in QCD matched with parton shower based on the POWHEG framework. Those include decays into bottom quarks with full bottom-quark mass dependence, light quarks, and gluons in the heavy top quark effective theory. Our calculations describe exclusive decays of the Higgs boson with leading logarithmic accuracy in the Sudakov region and next-to-leading order (NLO) accuracy matched with parton shower in the three-jet region, with normalizations fixed to the partial width at NNLO. We estimated remaining perturbative uncertainties taking typical event shape variables as an example and demonstrated the need of future improvements on both parton shower and matrix element calculations. The calculations can be used immediately in evaluations of the physics performances of detector designs for future Higgs factories.
Highlights
Widths have already been calculated to a very high accuracy with the intrinsic uncertainties being at percent level or better [10]
We present predictions for hadronic decays of the Higgs boson at next-to-nextto-leading order (NNLO) in QCD matched with parton shower based on the POWHEG framework
Our calculations describe exclusive decays of the Higgs boson with leading logarithmic accuracy in the Sudakov region and next-to-leading order (NLO) accuracy matched with parton shower in the three-jet region, with normalizations fixed to the partial width at NNLO
Summary
Since the top quarks only appear as internal states, one can adopt an effective theory by integrating out the top quark, the interactions can be expressed as. The renormalization of QCD coupling is carried out with a MS scheme with nl = 5 light flavors It further requires renormalization of the Wilson coefficients including mixing effects, C10 = Z11C1, C20 = Z21C1 + C2,. In the calculation of decaying into bottom quarks we keep full dependence on the bottom-quark mass in the matrix elements. May set the bottom-quark mass in the matrix elements to zero neglect associated power corrections. We refer such a calculation as for decays to massless or light quarks in the sense that it can be applied directly to light-quark decay channels induced by various new physics beyond the standard model
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