Abstract
We investigate the process at the Large Hadron Collider (LHC) up to the quantum chromodynamics (QCD) next-to-leading order (NLO), and discuss the kinematic distributions of the final products after on-shell Higgs and Z-boson decays by adopting the narrow width approximation. The dependence of the leading order (LO) and the QCD NLO corrected integrated cross-sections on the factorization/renormalization scale is studied. Our results show that the LO integrated cross-section and kinematic distributions are significantly enhanced by the NLO QCD corrections, and the NLO QCD K-factor strongly depends on the observables and phase space. We conclude that in precision experimental data analysis for probing the coupling, we should consider the NLO QCD corrections and put proper constraints on the lepton-pair invariant mass to reduce the background.
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