QCD $\theta$-vacuum energy and axion properties

Abstract

At low energies, the strong interaction is governed by the Goldstone bosons associated with the spontaneous chiral symmetry breaking, which can be systematically described by chiral perturbation theory. In this paper, we apply this theory to study the $\theta$-vacuum energy density and hence the QCD axion potential up to next-to-leading order with $N$ non-degenerate quark masses. By setting $N=3$, we then derive the axion mass, self-coupling, topological susceptibility and the normalized fourth cumulant both analytically and numerically, taking the strong isospin breaking effects into account. In addition, the model-independent part of the axion-photon coupling, which is important for axion search experiments, is also extracted from the chiral Lagrangian supplemented with the anomalous terms up to $\mathcal{O}(p^6)$.

arXiv comment22 pages, 1 figure, 2 tables

References in corpus (46)

• Axion Cosmology
• New CAST Limit on the Axion-Photon Interaction
• The QCD axion, precisely
• New experimental approaches in the search for axion-like particles
• FLAG Review 2019
• A SQUID-based microwave cavity search for dark-matter axions
• Discovering the QCD Axion with Black Holes and Gravitational Waves
• Improved limit on the permanent electric dipole moment of 199Hg
• Bose-Einstein Condensation of Dark Matter Axions
• New ALPS Results on Hidden-Sector Lightweights
• Axion Miniclusters and Bose Stars
• First results from a microwave cavity axion search at 24 micro-eV
• Axions : Theory and Cosmological Role
• New Exclusion Limits for the Search of Scalar and Pseudoscalar Axion-Like Particles from "Light Shining Through a Wall"
• Dilute and dense axion stars
• Dark Matter Axions Revisited
• Mesonic low-energy constants
• Axion Dark Matter Search around 6.7 $\mu$eV
• Relativistic axions from collapsing Bose stars
• Dense Axion Stars
• Search for solar axions with mass around 1 eV using coherent conversion of axions into photons
• The anomalous chiral Lagrangian of order $p^6$
• Topological Susceptibility and QCD Axion Mass: QED and NNLO corrections
• QCD at Fixed Topology
• Limits on Axion Couplings from the first 80-day data of PandaX-II Experiment
• Axion searches with the EDELWEISS-II experiment
• Axion cold dark matter in view of BICEP2 results
• A viable QCD axion in the MeV mass range
• Collapse of Axion Stars
• Chiral expansions of the pi0 lifetime
• Technicolor and other QCD-like theories at next-to-next-to-leading order
• Axion couplings to electroweak gauge bosons
• Portal Connecting Dark Photons and Axions
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• Axions from cooling compact stars: pair-breaking processes
• Hydrogen Axion Star: Metallic Hydrogen Bound to a QCD Axion BEC
• Cumulants of the QCD topological charge distribution
• QCD Axion Star Collapse with the Chiral Potential
• Topological susceptibility on the lattice and the three-flavour quark condensate
• Chiral perturbation theory in a theta vacuum
• Precision calculation of the axion-nucleon coupling in chiral perturbation theory
• Effects of non-equilibrated topological charge distributions on pseudoscalar meson masses and decay constants
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Study of the interactions of the axion with mesons and photons using a chiral effective Lagrangian model
• $\theta$-dependence of the lightest meson resonances in QCD
• Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature

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• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Pion axioproduction: The Delta resonance contribution
• QCD axion and topological susceptibility in chiral effective Lagrangian models at finite temperature
• Higher topological charge in the QCD vacuum and axion cosmology
• QCD topology and axion properties in an isotropic hot and dense medium
• Catalogues of Cosmologically Self-Consistent Hadronic QCD Axion Models
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
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