The KSVZ Axion Model with Quasi-Degenerate Minima: A Unified Model for Dark Matter and Dark Energy

Abstract

We consider the possibility that dark matter and dark energy can be explained by the minimal KSVZ axion model. This is possible if the lowest energy metastable minimum of the scalar potential has zero energy density, which is possible in theoretical models of vacuum energy cancellation based on spacetime averaging and in models based on energy parity. Dark energy is then understood as being due to the energy density of the metastable electroweak vacuum relative to a second quasi-degenerate metastable minimum. The requirement of quasi-degenerate minima is a non-trivial condition which completely determines the form of the potential for a given value of the axion decay constant, $f_a$, and the PQ scalar self-coupling, ${\lambda }_{\varphi }$. The existence of the second quasi-degenerate minimum imposes a new lower bound on the axion decay constant, $f_a\ge 2.39\times 10^{10}{\lambda }_{\varphi }^{-1/4}$ GeV. If the PQ symmetry is broken after inflation then the lower bound on $f_a$ implies a lower bound on the amount of axion dark matter, ${\Omega }_a/{\Omega }_{dm}\ge (0.28-0.46){\lambda }_{\varphi }^{-0.291}$, where the range is due to the uncertainty in the amount of axion dark matter produced by vacuum realignment, cosmic strings and domain walls, therefore at least 30$\%$ of dark matter must be due to axions if ${\lambda }_{\varphi }\lesssim 1$. When axions constitute all of the dark matter and the PQ symmetry is broken after inflation, $f_a$, and so the form of the scalar potential, is completely fixed for a given value of ${\lambda }_{\varphi }$, with only a weak dependence on ${\lambda }_{\varphi }$. This will allow the inflation and post-inflation evolution of the model to be quantitatively studied for a given inflation model and dimensionally natural values of ${\lambda }_{\varphi }$.

arXiv comment13 pages, 6 figures. Additional discussion. Version published in Physical Review D

References in corpus (31)

• Planck 2015 results. XIII. Cosmological parameters
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Axion dark matter from topological defects
• Axion Cosmology Revisited
• The Standard Model Effective Potential at Two Loops
• Stabilization of the Electroweak Vacuum by a Scalar Threshold Effect
• Axions from Strings: the Attractive Solution
• Cosmological implications of the Higgs mass measurement
• Standard Model-Axion-Seesaw-Higgs Portal Inflation. Five problems of particle physics and cosmology solved in one stroke
• Sequestering the Standard Model Vacuum Energy
• Unifying inflation with the axion, dark matter, baryogenesis and the seesaw mechanism
• Isocurvature bounds on axions revisited
• Improving the Effective Potential
• Long-term dynamics of cosmological axion strings
• Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
• Improving the Effective Potential:Multi-Mass-Scale Case
• A Symmetry for the Cosmological Constant
• A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos
• Dark energy, the electroweak vacua and collider phenomenology
• Unifying inflation and dark matter with the Peccei-Quinn field: observable axions and observable tensors
• Dark energy, the colored anti-de Sitter vacuum, and LHC phenomenology
• Multi-scale Renormalization
• A Model for Dark Energy decay
• Single-scale Renormalisation Group Improvement of Multi-scale Effective Potentials
• Metastable dark energy
• A Nonlocal Approach to the Cosmological Constant Problem
• Multi-scale Renormalization Group Methods for Effective Potentials with Multiple Scalar Fields
• Dark energy, scalar singlet dark matter and the Higgs portal
• RG-improvement of the effective action with multiple mass scales
• Metastability of the False Vacuum in a Higgs-Seesaw Model of Dark Energy

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