Excursion-set for Primordial Black Holes I: white noise and moving barrier

arXiv:2603.04185 · astro-ph.CO, gr-qc · Submitted 2026-03-04 · Read on arXiv

astro-ph.CO, gr-qc

Submitted: 2026-03-04

Updated: 2026-09-08

Comments: 18 pages, 10 figures, matches published version

Journal ref: Phys. Rev. D 114, 063504 (2026)

DOI: 10.1103/clgf-sqv8

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Abundance — 13× in this paper · explained in 1 episode
• Benchmark — 7× in this paper · explained in 2 episodes
• Clustering — 2× in this paper · explained in 2 episodes
• Primordial Black Holes (PBHs) — 2× in this paper · explained in 7 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Microlensing — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes

Sources

• Supermassive black holes from primordial black hole seeds
• Primordial seeds of supermassive black holes
• Spin Distribution of Primordial Black Holes
• Primordial black holes and their gravitational-wave signatures
• The second data release from the European Pulsar Timing Array: IV. Implications for massive black holes, dark matter and the early Universe
• Microlensing constraints on primordial black holes with the Subaru/HSC Andromeda observation
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• Possible evidence of QCD axion stars in HSC and OGLE microlensing events
• Primordial Black Holes
• Application of peaks theory to the abundance of primordial black holes
• Early Structure Formation in $\Lambda$PBH Cosmologies
• Dark Matter Simulations with Primordial Black Holes in the Early Universe
• The clustering dynamics of primordial black boles in $N$-body simulations
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• A universal threshold for primordial black hole formation
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• The Cloud-in-Cloud Problem in the Press-Schechter Formalism of Hierarchical Structure Formation
• Excursion Set Approach to Primordial Black Holes: Cloud-in-Cloud and Mass Function Revisited
• Primordial black holes from metric preheating: mass fraction in the excursion-set approach

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