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Primordial Black Hole and Gravitational Wave by Peaked Cosmic Perturbations from Axion Curvaton

Abstract

We demonstrate that an axion field can develop perturbations peaked at an intermediate wavenumber through its inflationary dynamics. We compute the resultant spectrum of gravitational waves (GWs) and primordial black holes (PBHs) generated through the curvaton mechanism. The GW spectrum exhibits a triangular shape, with UV and IR slopes determined by the axion's inflationary evolution and treatable as free parameters. In computing the PBH abundance, we properly account for the nonlinear relation between curvature and density perturbations and the primordial non-Gaussianity generated by the curvaton. The PBHs can account for all of dark matter, accompanied by blue-tilted isocurvature perturbations at small scales. The IR slope of the GW spectrum is anti-correlated with the magnitude of the dark matter isocurvature perturbations, offering a multi-messenger test of the model.

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BibTeX
@misc{harigaya2026primordial,
  title = {{Primordial Black Hole and Gravitational Wave by Peaked Cosmic Perturbations from Axion Curvaton}},
  author = {Keisuke Harigaya and Lian-Tao Wang and Jiangyi Yi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00457},
  eprint = {2610.00457},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00457},
}
RIS
TY  - UNPB
TI  - Primordial Black Hole and Gravitational Wave by Peaked Cosmic Perturbations from Axion Curvaton
AU  - Keisuke Harigaya
AU  - Lian-Tao Wang
AU  - Jiangyi Yi
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00457
UR  - https://arxiv.org/abs/2610.00457
AB  - We demonstrate that an axion field can develop perturbations peaked at an intermediate wavenumber through its inflationary dynamics. We compute the resultant spectrum of gravitational waves (GWs) and primordial black holes (PBHs) generated through the curvaton mechanism. The GW spectrum exhibits a triangular shape, with UV and IR slopes determined by the axion's inflationary evolution and treatable as free parameters. In computing the PBH abundance, we properly account for the nonlinear relation between curvature and density perturbations and the primordial non-Gaussianity generated by the curvaton. The PBHs can account for all of dark matter, accompanied by blue-tilted isocurvature perturbations at small scales. The IR slope of the GW spectrum is anti-correlated with the magnitude of the dark matter isocurvature perturbations, offering a multi-messenger test of the model.
ER  -