Abstract
In this note we discuss the combination of the usual renormalization and factorization scale uncertainties of Higgs-pair production via gluon fusion with the novel uncertainties originating from the scheme and scale choice of the virtual top mass. Moreover, we address the uncertainties related to the top-mass definition for different values of the trilinear Higgs coupling and their combination with the other uncertainties.
Highlights
Higgs-boson pair production will allow for the first time to probe the trilinear Higgs self-coupling directly and, to determine the first part of the Higgs potential as the origin of electroweak symmetry breaking
In this paper we discuss the combination of the usual renormalization and factorization scale uncertainties of Higgs-pair production via gluon fusion with the novel uncertainties originating from the scheme and scale choice of the virtual top mass
The dependence of the gluon-fusion cross section on the trilinear Higgs self-coupling λ around the Standard Model (SM) value is approximately given by Δσ=σ ∼ −Δλ=λ so that the uncertainties of the cross section are immediately translated into the uncertainty of the extracted trilinear self-coupling
Summary
Higgs-boson pair production will allow for the first time to probe the trilinear Higgs self-coupling directly and, to determine the first part of the Higgs potential as the origin of electroweak symmetry breaking. The next-to-leading-order (NLO) QCD corrections have first been obtained in the heavy-top limit (HTL) [3] supplemented by a large top-mass expansion [4] and the inclusion of the full real corrections [5]. The full NLO calculation including the full top-mass dependence has become available [6,7,8] showing a 15% difference to the result obtained in the HTL for the total cross section. The full NLO result and the NNLO corrections in the HTL have been combined in a fully exclusive Monte Carlo program [12] (including the mass effects of the one-loop double-real contributions at NNLO) that is publicly available.. The full NLO result and the NNLO corrections in the HTL have been combined in a fully exclusive Monte Carlo program [12] (including the mass effects of the one-loop double-real contributions at NNLO) that is publicly available. the matching of the full NLO results to parton showers has been performed [13] so that there are complete NLO event generators
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