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

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Summary

INTRODUCTION

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

UNCERTAINTIES
COMBINATION OF UNCERTAINTIES
UNCERTAINTIES FOR DIFFERENT HIGGS SELF-INTERACTIONS
Findings
CONCLUSIONS
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