Measurements of t t̄ H production in the H→ b b̄ channel depend in a critical way on the theoretical uncertainty associated with the irreducible t t̄ +b -jet background. In this paper, analysing the various topologies that account for b-jet production in association with a t t̄ pair, we demonstrate that the process at hand is largely driven by final-state g→ b b̄ splittings. We also show that in five-flavour simulations based on t t̄ + multi-jet merging, b-jet production is mostly driven by the parton shower, while matrix elements play only a marginal role in the description of g→ b b̄ splittings. Based on these observations we advocate the use of NLOPS simulations of pp→ t t̄ bb̄ in the four-flavour scheme, and we present a new Powheg generator of this kind. Predictions and uncertainties for t t̄ +b -jet observables at the 13 TeV LHC are presented both for the case of stable top quarks and with spin-correlated top decays. Besides QCD scale variations we consider also theoretical uncertainties related to the Powheg matching method and to the parton shower modelling, with emphasis on g→ b b̄ splittings. In general, matching and shower uncertainties turn out to be remarkably small. This is confirmed also by a consistent comparison against Sherpa+OpenLoops.
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Ježo et al. (2018) studied this question.
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