Anomalous couplings in Higgs-boson pair production at approximate NNLO QCD
Daniel de Florian, Ignacio Fabre, Gudrun Heinrich, Javier Mazzitelli,, Ludovic Scyboz

TL;DR
This paper advances the theoretical understanding of Higgs-boson pair production by combining NLO and approximate NNLO QCD predictions, incorporating anomalous couplings within an effective field theory framework, and analyzing their impact on key observables.
Contribution
It introduces a method to include full top-quark mass dependence with approximate NNLO predictions for Higgs pair production, considering multiple anomalous couplings in a non-linear EFT.
Findings
Higgs-pair invariant-mass distributions vary with anomalous couplings.
Numerical coefficients for NNLO cross sections are provided at 14 TeV.
Different $m_{hh}$ shape types are characterized at seven benchmark points.
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 shape types. We also provide numerical coefficients for the approximate NNLO cross section as a function of the anomalous couplings at TeV.
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