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

Abstract

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.

Measuring the trilinear Higgs boson self-coupling at the 100 TeV hadron collider via multivariate analysis

“…According to the recent N3LO calculations[25], the signal cross section is further enhanced by the amount of 2.7% which would hardly affect our conclusion, or rather strengthen our results.2 Specifically, the multivariate MV1 b-tagging algorithm with ϵ b ¼ 0.75 is taken together with P c→b ¼ 0.1, P j→b ¼ 0.01, and P j→γ ¼ 1.35 × 10 −3[27].…”

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

“…4.3, we assumed in our study an uncertainty on the HH cross sections ranging from 0.5 to 1.5%. This would need the theoretical predictions to improve relative to today's knowledge, requiring the extension of the perturbative order by at least one order beyond today's known NLO with full top mass dependence [68], and possibly beyond the N 3 LO in the m top → ∞ limit, recently achieved [111,112]. This will be very challenging, and it is impossible today to estimate the asymptotic reach in theoretical precision.…”

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

“…N 3 LO corrections have become available recently [23,24], where in ref. [24] the N 3 LO results in the heavy top limit have been "NLO-improved" using the results of refs. [12,14].…”