EFTs meet Higgs Nonlinearity, Compositeness and (Neutral) Naturalness

Abstract

Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson, and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the $t\bar{t}h$ and $t\bar{t}hh$ couplings is quite different for the linear and nonlinear Higgs descriptions.

arXiv comment46 pages, 12 figures, 10 tables

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Cited by in corpus (10)

• Determining the Shape of Higgs Potential at Future Colliders
• Electroweak baryogenesis and gravitational waves in a composite Higgs model with high dimensional fermion representations
• Multi-Higgs Production and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• The Techni-Pati-Salam Composite Higgs
• Highly Boosted Higgs Bosons and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Electroweak Top Couplings, Partial Compositeness and Top Partner Searches
• Softly shifting away from dark matter direct detection
• What can we learn from the total width of the Higgs boson?
• Probing the Top-Higgs Sector with Composite Higgs Models at Present and Future Hadron Colliders
• Precision Higgs Couplings in Neutral Naturalness Models: an Effective Field Theory Approach