A minimal scale invariant axion solution to the strong CP-problem

Abstract

We present a scale invariant extension of the Standard model allowing for the Kim-Shifman-Vainstein-Zakharov (KSVZ) axion solution of the strong CP problem in QCD. We add the minimal number of new particles and show that the Peccei-Quinn scalar might be identified with the complex dilaton field. Scale invariance, together with the Peccei-Quinn symmetry, is broken spontaneously near the Planck scale before inflation, which is driven by the Standard Model Higgs field. We present a set of general conditions which makes this scenario viable and an explicit example of an effective theory possessing spontaneous breaking of scale invariance. We show that this description works both for inflation and low-energy physics in the electroweak vacuum. This scenario can provide a self-consistent inflationary stage and, at the same time, successfully avoid the cosmological bounds on the axion. Our general predictions are the existence of coloured TeV mass fermion and the QCD axion. The latter has all the properties of the KSVZ axion but does not contribute to dark matter. This axion can be searched via it's mixing to a photon in an external magnetic field.

References in corpus (28)

• Cosmology and the Fate of Dilatation Symmetry
• Higgs mass and vacuum stability in the Standard Model at NNLO
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• The $\nu$MSM, Dark Matter and Neutrino Masses
• The QCD axion, precisely
• Superconformal Inflationary $\alpha$-Attractors
• Higgs inflation: consistency and generalisations
• On initial conditions for the Hot Big Bang
• Any Light Particle Search II -- Technical Design Report
• The $\nu$MSM, Inflation, and Dark Matter
• The New Minimal Standard Model
• Conceptual Design of the International Axion Observatory (IAXO)
• Agravity
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Do experiments suggest a hierarchy problem?
• Cool WISPs for stellar cooling excesses
• Towards a new generation axion helioscope
• Unifying inflation with the axion, dark matter, baryogenesis and the seesaw mechanism
• The Cosmology of String Theoretic Axions
• The Quest for an Intermediate-Scale Accidental Axion and Further ALPs
• Robust forecasts on fundamental physics from the foreground-obscured, gravitationally-lensed CMB polarization
• Isocurvature bounds on axions revisited
• Higgs-Dilaton Cosmology: an effective field theory approach
• A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos
• On the geometrical interpretation of scale-invariant models of inflation
• Higgs-Dilaton cosmology: Are there extra relativistic species?

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• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• Asymptotic Scale Invariance and its Consequences
• Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case