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Conformal Symmetry and the Standard Model
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We re-examine the question of radiative symmetry breaking in the standard model in the presence of right-chiral neutrinos and a minimally enlarged scalar sector. We demonstrate that, with these extra ingredients, the hypothesis of classically unbroken conformal symmetry, besides naturally introducing and stabilizing a hierarchy, is compatible with all available data; in particular, there exists a set of parameters for which the model may remain viable even up to the Planck scale. The decay modes of the extra scalar field provide a unique signature of this model which can be tested at LHC.
Forward citations
Cited by 7 Pith papers
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Hidden Sector Custodial Naturalness
A minimal SO(5) custodial naturalness model with two scalar singlets dynamically generates the electroweak scale and supplies a freeze-in dark matter candidate.
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Custodial Naturalness
Custodial Naturalness uses classical scale invariance plus a custodial SO(6) symmetry to make the Higgs a naturally light pseudo-Goldstone boson, with testable new particle predictions.
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Minimal Scale-Invariant Dark Matter
In the minimal scale-invariant singlet model, freeze-in dark matter is viable only in a narrow window around 2.6 MeV, with direct-detection signals unobservably small.
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The Goldstone Awakens: Unimodular dark energy in scale-invariant $R^2$ gravity
In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.
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Fermi scale from quantum gravity scaling solution
The Fermi/Planck ratio is claimed to be predictable from the analyticity of the quantum-gravity scaling solution for the cosmon-Higgs coupling, with numerics showing the coupling flows to a tiny, near-critical value.
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Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles?
Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.
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Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
A state-of-the-art thermodynamic analysis of supercooled phase transitions yields a universal lower bound β/H_* ≃ 5 and shows that viable PBH dark-matter parameter space in classically conformal gauge-Higgs theories i...
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