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} = 14 TeV.
Highlights
We combine NLO predictions with full top-quark mass dependence with approximate next-to-next-to-leading order (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
In this work we present a study of the anomalous couplings relevant to the process gg → HH within a non-linear EFT operator expansion, at approximate NNLO in QCD
The fact that the combination of the full NLO and approximate NNLO is done through an additive approach becomes crucial, since e.g. a simple multiplicative rescaling would not respect the functional form of eq (2.2)
Summary
The calculation builds on the ones presented in refs. [28, 38, 41] and the methods will be described only briefly here, focusing on the new aspects. It is worth stressing that the functional dependence described in eq (2.2), which holds for the exact NNLO cross section, is valid for the approximate results presented in this work. To this end, the fact that the combination of the full NLO and approximate NNLO is done through an additive approach becomes crucial, since e.g. a simple multiplicative rescaling would not respect the functional form of eq (2.2) (and, in particular, due to the new combinations appearing at NNLO it would be ill-defined for certain values of the anomalous couplings)
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