Consistent Conformal Extensions of the Standard Model

Abstract

The question of whether classically conformal modifications of the standard model are consistent with experimental obervations has recently been subject to renewed interest. The method of Gildener and Weinberg provides a natural framework for the study of the effective potential of the resulting multi-scalar standard model extensions. This approach relies on the assumption of the ordinary loop hierarchy ${\lambda }_{\text{s}}\sim g_{\text{g}}^2$ of scalar and gauge couplings. On the other hand, Andreassen, Frost and Schwartz recently argued that in the (single-scalar) standard model, gauge invariant results require the consistent scaling ${\lambda }_{\text{s}}\sim g_{\text{g}}^4$. In the present paper we contrast these two hierarchy assumptions and illustrate the differences in the phenomenological predictions of minimal conformal extensions of the standard model.

20 pages, 19 figures. v2: Typo in (3.3) corrected, references added

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Cited by in corpus (11)

• Gravitational waves from conformal symmetry breaking
• Conformal model for gravitational waves and dark matter: A status update
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Scale-genesis by Dark Matter and Its Gravitational Wave Signal
• Dilaton-assisted generation of the Fermi scale from the Planck scale
• Geometry of Flat Directions in Scale-Invariant Potentials
• Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
• Dark matter and Standard Model reheating from conformal GUT inflation
• Radiative symmetry breaking from the on-shell perspective
• Softly broken conformal symmetry with higher curvature terms