Abstract

An axion rotating in field space can produce dark photons in the early universe via tachyonic instability. This explosive particle production creates a background of stochastic gravitational waves that may be visible at pulsar timing arrays or other gravitational wave detectors. This scenario provides a novel history for dark photon dark matter. The dark photons may be warm at a level detectable in future 21-cm line surveys. For a consistent cosmology, the radial direction of the complex field containing the axion must be thermalized. We explore a concrete thermalization mechanism in detail and also demonstrate how this setup can be responsible for the generation of the observed baryon asymmetry.

Highlights

  • May instead be initially rotating in field space, with important consequences

  • We explore the parameter space motivated by the potential gravitational wave (GW) signal reported by NANOGrav [20] and for a smaller signal strength within the reach of Square Kilometer Array (SKA) [29]

  • Such a rotation is expected when the radial direction of the global symmetry breaking field takes on a large initial field value and the global symmetry is explicitly broken by higher dimensional operators

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Summary

Axion rotations

We consider a field theoretical axion, a pseudo-Nambu-Goldstone boson associated with the spontaneous breaking of a global U(1)P symmetry. As conventionally assumed, the axion field has zero initial velocity, it begins oscillations when its mass is comparable to the Hubble expansion rate, mφ ∼ H. Where M is a cut-off scale, is enhanced at large field values Such terms are expected when the U(1)P symmetry accidentally arises as a result of another exact symmetry [34,35,36,37]. This explicit breaking can initiate an angular motion for P. We discuss the consequences of axion rotation when the axion couples to a dark gauge field

Dark photon production
Axion rotations and fluctuations
Deviation from coherent circular motion
Gravitational waves from rotations
MeV fGW 2 nHz
Dark photon dark matter from rotations
The case without scattering
Effects of scattering
Concrete realization
Scalar potential
Allowed parameter space
Constraints independent of thermalization model
Thermalization constraints
A baryogenesis connection
Summary and discussion
Findings
A Cosmological details of concrete thermalization model

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