Primordial Black Hole formation from power spectrum with finite-width
Abstract Primordial Black Holes (PBHs) can form from gravitational collapse of large overdensities in the early Universe, giving rise to rich phenomena in astrophysics and cosmology. We develop a novel, general, and systematic method based on theory of density contrast peaks to calculate the abundance of PBHs for a broad power spectrum of curvature perturbations with Gaussian statistics. We introduce a window function to account for the relevant perturbation scales associated with PBHs of different masses, along with a filter function that removes unphysical contributions from super-horizon-scale overdensities. While some uncertainties remain due to the limited understanding of the nonlinear collapse process, our approach substantially reduces the discrepancy previously observed between peaks theory and the Press-Schechter formalism.
Authors
- Shi Pi (ORCID: https://orcid.org/0000-0002-8776-8906)
- Misao Sasaki
- Jianing Wang (ORCID: https://orcid.org/0009-0003-0904-8019)
- Volodymyr Takhistov (ORCID: https://orcid.org/0000-0003-2647-3431)
Institutions
- High Energy Accelerator Research Organization (JP)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- National Taiwan University (TW)
- Chinese Academy of Sciences (CN)
- The Graduate University for Advanced Studies, SOKENDAI (JP)
- Peking University (CN)
- Kyoto University (JP)
- Asia Pacific Center for Theoretical Physics (KR)
- Institute of Theoretical Physics (CN)
- University of Chinese Academy of Sciences (CN)
- International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles
- The University of Tokyo (JP)
Publication Details
- Journal
- Journal of Cosmology and Astroparticle Physics
- Published
- 2025-09-01
- DOI
- https://doi.org/10.1088/1475-7516/2025/09/045
- Citations
- 7
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- article
- Field-Weighted Citation Impact
- 8.08