Gegenbauer's Twin

Abstract

In Twin Higgs models the dominant source of fine-tuning is the cancellation of order $v^2/f^2$ required to obtain a Standard Model-like Higgs, where $v$ and $f$ are the electroweak and new physics scales, respectively. Recently proposed Gegenbauer Goldstone models naturally realise $v^2/f^2\ll 1$ and hence remove this source of fine-tuning. By combining the two into `Gegenbauer's Twin', we obtain a symmetry-based model for Higgs sector naturalness consistent with current collider measurements without fine-tuning of parameters. Single-Higgs coupling deviations of a few percent and trilinear self-coupling deviations of order one are irreducible in the natural parameter space. Thus, notably, the fingerprints of Gegenbauer's Twin could emerge first through di-Higgs measurements at the High-Luminosity LHC.

arXiv comment7 pages, 2 figures; v2: minor changes and added Figure 1, matches published version

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Cited by in corpus (6)

• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Charting the Higgs self-coupling boundaries
• Baryogenesis through Asymmetric Reheating in the Mirror Twin Higgs
• Flavour Deconstructing the Composite Higgs
• Review of Neutral Naturalness
• The Lepton Flavor Changing Decays and One-loop Muon Anomalous Magnetic Moment in the Extended Mirror Twin Higgs Models