Primordial black holes from inflation: on the decoupling between large and small scales

Fuente: arXiv
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Autor principal: Iacconi, Laura
Formato: Preprint
Publicado: 2026
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author Iacconi, Laura
author_facet Iacconi, Laura
contents Primordial black holes (PBHs) can be produced from inflation if the primordial curvature power spectrum is strongly enhanced on scales much shorter than those probed by cosmic microwave background (CMB) experiments. In single-field models this typically requires a transient departure from slow-roll, attractor dynamics, for example realized through a brief ultra-slow-roll phase. In these scenarios, there is reasonable concern that large-scale modes, whose statistics is tightly constrained by CMB observations, might back-react to the amplified perturbations on much shorter scales. In a perturbative expansion for the long-mode power spectrum, this effect first appears at 1-loop. In these proceedings we summarize recent works on this issue, based on the application of the separate-universe framework and its general extension with multi-point propagators. We show that back-reaction at 1-loop is due to either (i) non-linear super-horizon evolution, or (ii) 1-loop-corrected initial conditions. By assuming separation of scales and adiabaticity of the long mode, we show that the 1-loop back-reaction is not observable and large scales decouple from enhanced short ones. While we demonstrate that PBH production within single-field inflation does not disrupt large-scale predictions, we close by discussing scenarios to which our results do not apply.
format Preprint
id arxiv_https___arxiv_org_abs_2605_04815
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Primordial black holes from inflation: on the decoupling between large and small scales
Iacconi, Laura
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Primordial black holes (PBHs) can be produced from inflation if the primordial curvature power spectrum is strongly enhanced on scales much shorter than those probed by cosmic microwave background (CMB) experiments. In single-field models this typically requires a transient departure from slow-roll, attractor dynamics, for example realized through a brief ultra-slow-roll phase. In these scenarios, there is reasonable concern that large-scale modes, whose statistics is tightly constrained by CMB observations, might back-react to the amplified perturbations on much shorter scales. In a perturbative expansion for the long-mode power spectrum, this effect first appears at 1-loop. In these proceedings we summarize recent works on this issue, based on the application of the separate-universe framework and its general extension with multi-point propagators. We show that back-reaction at 1-loop is due to either (i) non-linear super-horizon evolution, or (ii) 1-loop-corrected initial conditions. By assuming separation of scales and adiabaticity of the long mode, we show that the 1-loop back-reaction is not observable and large scales decouple from enhanced short ones. While we demonstrate that PBH production within single-field inflation does not disrupt large-scale predictions, we close by discussing scenarios to which our results do not apply.
title Primordial black holes from inflation: on the decoupling between large and small scales
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2605.04815