Conformal symmetry and the Standard Model

2006/12/31 by Krzysztof A. Meissner, Hermann Nicolai · 17 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Geometry #Global symmetry #Hierarchy problem #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Planck #Quantum mechanics #Scalar (mathematics) #Scalar field #Spontaneous symmetry breaking #Standard Model (mathematical formulation) #Supersymmetry #Symmetry (geometry) #Symmetry breaking #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.03.023

published as Phys.Lett.B648:312-317,2007 · 13 pages, 6 figures, version to be published in Phys. Lett. B

openalex publication_date 2007/03/20 · arxiv created 2007/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY
• Stability of subsequent-to-leading-logarithm corrections to the effective potential for radiative electroweak symmetry breaking
• Horizontal Symmetry and Masses of Neutrinos
• The effective potential and the renormalisation group
• Broken Symmetry and the Mass of Gauge Vector Mesons
• QUANTUM GRAVITY IN TWO DIMENSIONS
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Cited by

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• Asymptotic safety and quantum gravity amplitudes
• Conformal complex singlet extension of the Standard Model: scenario for dark matter and a second Higgs boson
• Viable Dark Matter via Radiative Symmetry Breaking in a Scalar Singlet Higgs Portal Extension of the Standard Model
• Asymptotic safety, the Higgs boson mass, and beyond the standard model physics
• A scale-invariant Higgs sector and structure of the vacuum
• Direct detection of singlet dark matter in classically scale-invariant standard model
• Variational technique for gauge boson masses
• Right-handed neutrino dark matter in the classically conformal U(1)′ extended standard model
• Cosmic rays through the Higgs portal
• A modified naturalness principle and its experimental tests
• Dark matter andU(1)′symmetry for the right-handed neutrinos
• Asymptotically safe and free chiral theories with and without scalars
• \mathcal P \mathcal T -symmetric interpretation of unstable effective potentials