Abstract
The process of gluon-initiated double Higgs production is sensitive to nonlinear interactions of the Higgs boson. In the context of the Standard Model, studies of this process focused on the extraction of the Higgs trilinear coupling. In a general parametrization of New Physics effects, however, an even more interesting interaction that can be tested through this channel is the $ t\overline t hh $ coupling. This interaction vanishes in the Standard Model and is a genuine signature of theories in which the Higgs boson emerges from a strongly-interacting sector. In this paper we perform a model-independent estimate of the LHC potential to detect anomalous Higgs couplings in gluon-fusion double Higgs production. We find that while the sensitivity to the trilinear is poor, the perspectives of measuring the new $ t\overline t hh $ coupling are rather promising.
Highlights
The process of gluon-initiated double Higgs production is sensitive to nonlinear interactions of the Higgs boson
In this paper we have performed a first model-independent study of double Higgs production via gluon fusion, gg → hh, and we have shown that its cross section is greatly enhanced by the non-linear interaction tthh
Such new vertex gives a contribution to the scattering amplitude of tt → hh that grows with the energy, A(tt → hh) ∼ (Emt)/v2, and as such it is a genuine signature of the underlying strong dynamics
Summary
We introduce the general parametrization of Higgs couplings that will be used in this paper. We neglect ggh and gghh local interactions which can be generated by new heavy states at 1-loop level, as for example scalar or fermionic partners of the top quark In the following we will neglect these effects since they are parametrically subleading [43], they can be numerically important when the top or bottom degree of compositeness becomes large [44] This is especially justified considering that in minimal composite Higgs models with partial compositeness these additional corrections to the couplings do not affect the gg → h rate because they are exactly canceled by the contribution from loops of heavy fermions, as first observed in refs. It would be interesting to analyze in detail their effects on double Higgs production
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