Abstract
We present a calculation of the NLO QCD corrections to Higgs boson pair production within the framework of a non-linearly realised Effective Field Theory in the Higgs sector, described by the electroweak chiral Lagrangian. We analyse how the NLO corrections affect distributions in the Higgs boson pair invariant mass and the transverse momentum of one of the Higgs bosons. We find that these corrections lead to significant and non-homogeneous K-factors in certain regions of the parameter space. We also provide an analytical parametrisation for the total cross-section and the mhh distribution as a function of the anomalous Higgs couplings that includes NLO corrections. Such a parametrisation can be useful for phenomenological studies.
Highlights
Framework can be formulated in various ways, where we can distinguish two main categories, often called “linear effective field theory (EFT)” and “non-linear EFT”
We present a calculation of the NLO QCD corrections to Higgs boson pair production within the framework of a non-linearly realised Effective Field Theory in the Higgs sector, described by the electroweak chiral Lagrangian
The NLO calculations until recently have been performed in the mt → ∞ limit [48] called HEFT (“Higgs Effective Field Theory”),1 and rescaled by a factor BFT/BHEFT, BFT denoting the leading order matrix element squared in the full theory
Summary
Framework can be formulated in various ways, where we can distinguish two main categories, often called “linear EFT” and “non-linear EFT”. In the SM, Higgs boson pair production has been calculated at leading order in refs. The NLO calculations until recently have been performed in the mt → ∞ limit [48] called HEFT (“Higgs Effective Field Theory”), and rescaled by a factor BFT/BHEFT, BFT denoting the leading order matrix element squared in the full theory. This procedure is called “Born-improved HEFT” in the following. It has been matched to parton shower Monte Carlo programs [63, 64], where the matched result of ref. [63] is publicly available within the POWHEG-BOX-V2 framework
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