One-loop corrections to the E-type $α$-attractor models of inflation and primordial black hole production

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Auteurs principaux: Frolovsky, Daniel, Ketov, Sergei V.
Format: Preprint
Publié: 2025
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author Frolovsky, Daniel
Ketov, Sergei V.
author_facet Frolovsky, Daniel
Ketov, Sergei V.
contents The one-loop corrections (1LC) to the power spectrum of scalar perturbations arising from cubic interactions in the single-field E-type $α$-attractor models of inflation and primordial black hole (PBH) production are numerically calculated. The results demonstrate the 1LC contributes merely a few percent to the tree-level power spectrum. The model parameters are chosen to predict the PBH masses in the asteroid-mass range, while maintaining consistency with the cosmic microwave background (CMB) observations within 1$σ$ confidence levels, and obeying the upper limits on $μ$-distortions. The PBHs formed on scales smaller than the inflation scale can constitute a significant fraction of the present dark matter (DM). The PBH-induced gravitational waves (GW) may be detectable by the future space-based gravitational interferometers. We also consider a reconstruction of the scalar potential from possible GW observations and present a numerical approach tested in the model parameter space.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00628
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle One-loop corrections to the E-type $α$-attractor models of inflation and primordial black hole production
Frolovsky, Daniel
Ketov, Sergei V.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
The one-loop corrections (1LC) to the power spectrum of scalar perturbations arising from cubic interactions in the single-field E-type $α$-attractor models of inflation and primordial black hole (PBH) production are numerically calculated. The results demonstrate the 1LC contributes merely a few percent to the tree-level power spectrum. The model parameters are chosen to predict the PBH masses in the asteroid-mass range, while maintaining consistency with the cosmic microwave background (CMB) observations within 1$σ$ confidence levels, and obeying the upper limits on $μ$-distortions. The PBHs formed on scales smaller than the inflation scale can constitute a significant fraction of the present dark matter (DM). The PBH-induced gravitational waves (GW) may be detectable by the future space-based gravitational interferometers. We also consider a reconstruction of the scalar potential from possible GW observations and present a numerical approach tested in the model parameter space.
title One-loop corrections to the E-type $α$-attractor models of inflation and primordial black hole production
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2502.00628