Higgs-pair production via gluon fusion at hadron colliders: NLO QCD corrections

Abstract

Higgs-pair production via gluon fusion is the dominant production mechanism of Higgsboson pairs at hadron colliders. In this work, we present details of our numerical determination of the full next-to-leading-order (NLO) QCD corrections to the leading top-quark loops. Since gluon fusion is a loop-induced process at leading order, the NLO calculation requires the calculation of massive two-loop diagrams with up to four different mass/energy scales involved. With the current methods, this can only be done numerically, if no approximations are used. We discuss the setup and details of our numerical integration. This will be followed by a phenomenological analysis of the NLO corrections and their impact on the total cross section and the invariant Higgs-pair mass distribution. The last part of our work will be devoted to the determination of the residual theoretical uncertainties with special emphasis on the uncertainties originating from the scheme and scale dependence of the (virtual) top mass. The impact of the trilinear Higgs-coupling variation on the total cross section will be discussed.

Measuring the Higgs self-coupling via Higgs-pair production at a 100 TeV p–p collider

“…Single top associated production is also a possible production mode but it is neglected in this study. The cross-section calculations [64][65][66][67][68][69][70][71][72][73] for these main production mechanisms, reported also in Refs. [11,48,74], are given in Table 1.…”

Prospects of non-resonant di-Higgs searches and Higgs boson self-coupling measurement at the HE-LHC using machine learning techniques

“…Before giving a detailed outline of this paper, we briefly revisit the existing works where the potential capability of the HE-LHC in probing the Higgs boson self-coupling has been studied. The SM non-resonant di-Higgs production cross-section at √ s = 27 TeV in the gluon fusion channel is 139.9 +1.3% −3.9% fb at NNLO [11][12][13][14][15][16][17][18] and is roughly ∼ 3.5 times larger than its 14 TeV counterpart. In the context of HE-LHC, the bbγγ channel has been studied in detail in refs.…”

“…The fine cancellation results in a smaller production cross-section. At the centre of mass energy ( √ s) of 13 TeV, the SM di-Higgs production cross-section in the gluon fusion channel stands at 31.05 +2.2% −5.0% fb at the NNLO level [11][12][13][14][15][16][17][18], while the production rate at √ s = 14 TeV increases to only 36.69 +2.1% −4.9% fb [11][12][13][14][15][16][17][18] at the NNLO level. 1 The cross-section of di-Higgs production through other modes namely vector boson fusion, associated production with vector bosons and associated production with top and bottom pairs are much smaller than the production rate in the gluon fusion channel, and, are generally ignored.…”

A non-linear EFT description of gg → H H at NLO interfaced to POWHEG

“…[5][6][7]. The NLO QCD corrections with full top quark mass dependence became available more recently [8][9][10][11]. The NLO results of refs.…”