Anomalous couplings in Higgs-boson pair production at approximate NNLO QCD

Abstract

We combine NLO predictions with full top-quark mass dependence with approximate NNLO predictions for Higgs-boson pair production in gluon fusion, including the possibility to vary coupling parameters within a non-linear Effective Field Theory framework containing five anomalous couplings for this process. We study the impact of the anomalous couplings on various observables, and present Higgs-pair invariant-mass distributions at seven benchmark points characterising different mhh shape types. We also provide numerical coefficients for the approximate NNLO cross section as a function of the anomalous couplings at $$ \sqrt{s} $$ s = 14 TeV.

$gg\to HH$: Combined Uncertainties

“…( 9) shows the central NNLO F T approx predictions for the total cross section for various choices of κ λ = λ/λ SM for √ s = 13 TeV. The per-cent uncertainties display the usual factorization and renormalization scale uncertainties [19].…”

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“…Two-loop NLO corrections with the full top-mass dependence have been obtained [50,51], and these corrections have been consistently matched to parton showers within the publicly available POHWEG BOX framework [52–54]. The current state-of-the-art description includes approximate NNLO effects in the HTL approximation, enhanced by the insertion of leading-order (LO) form factors accounting for the full top-quark mass dependence, as well as exact NLO corrections in the full theory [55]. The inclusion of approximate NNLO corrections leads to a reduction in uncertainties by a factor of about 2 to 3.…”

Les Houches 2021—physics at TeV colliders: report on the standard model precision wishlist

“…Corrections have been computed at NLO within a nonlinear Effective Field Theory [509] and used to reweight the NNLO HTL results [510]. SMEFT predictions and uncertainties for gg → HH were studied at NLO QCD in [511].…”