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Non-universal probes of composite Higgs models: New bounds and prospects for FCC-ee
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abstract
We study the leading loop-level phenomenology of composite Higgs models via the effective field theory of a strongly interacting light Higgs and top quark (SILH+TQ). We systematically analyze the renormalization group evolution (RGE) of tree-generated operators in the SILH+TQ scenario, finding large mixings of flavor non-universal operators into those affecting electroweak precision observables. We show that these model-independent RG contributions are more important than typical estimates for finite matching terms. Flavor non-universal effects are completely captured by examining three options for the top mixing: fully composite $q_L^3$, equal compositeness, and fully composite $t_R$. In the most phenomenologically viable case of a fully composite $t_R$, we show that the strongest bound on the natural parameter space comes from a 2-loop double-log contribution of the 4-top operator $O_{tt} = (\bar t_R \gamma_\mu t_R)(\bar t_R \gamma^\mu t_R)$ into the Peskin-Takeuchi $T$ parameter. In general, we find that this 2-loop effect allows existing electroweak precision data to give better constraints on 4-top operators than high-energy probes from top production at the LHC. Independent of the top mixing, we find that a future tera-$Z$ machine such as FCC-ee has the potential to probe composite Higgs models up to a scale of $m_* \gtrsim 25$ TeV, and test the naturalness of the electroweak scale at the $\lesssim 10^{-4}$ level.
Forward citations
Cited by 7 Pith papers
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Partial Compositeness: from Anarchy to Symmetry
A two-stage renormalization group flow, anarchic at high energies and flavor-symmetric at low energies, dynamically realizes Minimal Flavor Violation in composite Higgs models at a 5-10 TeV scale.
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General form of effective operators from hidden sectors
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Accuracy complements energy: electroweak precision tests at Tera-Z
Z-pole precision at a Tera-Z factory gives projected sensitivities to Higgs and gauge SMEFT operators that are competitive with, and complementary to, higher-energy runs such as WW and ZH.
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Cornering Natural SUSY at a Tera-$Z$ Factory
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