Double Higgs boson production at NLO in the high-energy limit: complete analytic results

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.

Section: Next-to-leading-order Correctionssupporting

confidence: 55%

“…The NLO form factors of Eq. (89) correspond to the infrared-subtracted ones according to Ref [66]. plus the additional subtraction of the HTL.…”

mentioning

confidence: 99%

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

Baglio¹,

Campanario

Glaus

et al. 2020

“…Moreover, there are also many well-motivated attempts to evaluate the involved two-loop gg → hh amplitudes in the analytic forms by taking other approximations (e.g. in the small top-quark mass [55,56], the small Higgs transverse momentum [57] and the small Higgs mass [58] limits).…”

Section: Introductionmentioning

confidence: 99%

The gluon-fusion production of Higgs boson pair: N3LO QCD corrections and top-quark mass effects

Chen

Shao

et al. 2020

The Higgs boson pair production via gluon fusion at high-energy hadron colliders, such as the LHC, is vital in deciphering the Higgs potential and in pinning down the electroweak symmetry breaking mechanism. We carry out the next-to-next-to-next-toleading order (N 3 LO) QCD calculations in the infinite top-quark mass limit and present predictions for both the inclusive and differential cross sections. Such corrections are indispensable in stabilising the perturbative expansion of the cross section in the strong coupling α s . At the inclusive level, the scale uncertainties are reduced by a factor of four compared with the next-to-next-to-leading order (NNLO) results. Given that the inclusion of the top-quark mass effects is essential for the phenomenological applications, we use several schemes to incorporate the N 3 LO results in the infinite top-quark mass limit and the nextto-leading order (NLO) results with full top-quark mass dependence, and present theoretical predictions for the (differential) cross sections in the proton-proton collisions at the centreof-mass energies √ s = 13, 14, 27 and 100 TeV. Our results provide one of the most precise theoretical inputs for the analyses of the Higgs boson pair events.

“…Complete analytic results in the high energy limit have been presented in Ref. [51]; the latter have been combined with the full NLO results in the regions where they are more appropriate in Ref. [52].…”

Section: Introductionmentioning

confidence: 99%

Exploring anomalous couplings in Higgs boson pair production through shape analysis

Capozi

Heinrich

2020

We classify shapes of Higgs boson pair invariant mass distributions m hh , calculated at NLO with full top quark mass dependence, and visualise how distinct classes of shapes relate to the underlying coupling parameter space. Our study is based on a five-dimensional parameter space relevant for Higgs boson pair production in a non-linear Effective Field Theory framework. We use two approaches: an analysis based on predefined shape types and a classification into shape clusters based on unsupervised learning. We find that our method based on unsupervised learning is able to capture shape features very well and therefore allows a more detailed study of the impact of anomalous couplings on the m hh shape compared to more conventional approaches to a shape analysis.