Standard Model with Cosmologically Broken Quantum Scale Invariance

Abstract

We argue that scale invariance is not anomalous in quantum field theory, provided it is broken cosmologically. We consider a locally scale invariant extension of the Standard Model of particle physics and argue that it fits both the particle and cosmological observations. The model is scale invariant both classically and quantum mechanically. The scale invariance is broken cosmologically producing all the dimensionful parameters. The cosmological constant or dark energy is a prediction of the theory and can be calculated systematically order by order in perturbation theory. It is expected to be finite at all orders. The model does not suffer from the hierarchy problem due to absence of scalar particles, including the Higgs, from the physical spectrum.

13 pages, no figures significant revisions, no change in results or conclusions

References in corpus (8)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Naturalness of exponential cosmon potentials and the cosmological constant problem
• Cosmological Symmetry Breaking, Pseudo-scale invariance, Dark Energy and the Standard Model
• One Loop Calculation of Cosmological Constant in a Scale Invariant Theory

Cited by in corpus (8)

• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• The fine tuning of the cosmological constant in a conformal model
• Quantum Treatment of the Weyl Vector Meson
• A Magnetic-Monopole-Based Mechanism to the formation of the Hot Big Bang Modeled Universe
• Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity
• Weyl meson and its implications in collider physics and cosmology
• Dirac-Born-Infeld-Einstein theory with Weyl invariance
• Relating the cosmological constant and slow roll to conformal symmetry breaking