Compaction function in stochastic inflation: a FOREST of type I and II primordial black holes

arXiv:2606.30087 · astro-ph.CO, gr-qc · Submitted 2026-06-29 · Read on arXiv

Chiara Animali, Pierre Auclair, Baptiste Blachier, Eemeli Tomberg, Vincent Vennin

astro-ph.CO, gr-qc

Submitted: 2026-06-29

Comments: 34 pages, 15 figures

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

Terminology

• Abundance — 21× in this paper · explained in 1 episode
• Non-Gaussianity — 4× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Apparent Horizon — 2× in this paper · explained in 1 episode
• Clustering — 2× in this paper · explained in 2 episodes
• Primordial non-Gaussianity — 2× in this paper · explained in 2 episodes
• Reheating — 2× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Primordial Black Holes (PBHs) — 1× in this paper · explained in 7 episodes

Sources

• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Quantum diffusion during inflation and primordial black holes
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Hamiltonian formalism for cosmological perturbations: the separate-universe approach
• The separate-universe approach and sudden transitions during inflation
• Correlation Functions in Stochastic Inflation
• Stochastic inflation in phase space: Is slow roll a stochastic attractor?
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• Stochastic growth of quantum fluctuations during slow-roll inflation
• On the divergences of inflationary superhorizon perturbations
• A new algorithm for calculating the curvature perturbations in stochastic inflation
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• Ultra-slow-roll inflation with quantum diffusion
• A numerical approach to stochastic inflation and primordial black holes
• Inflation is always semi-classical: Diffusion domination overproduces Primordial Black Holes
• The hand-made tail: Non-perturbative tails from multifield inflation
• Massive galaxy clusters like "El Gordo'' hint at primordial quantum diffusion
• Primordial black holes from stochastic tunnelling

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