Multiple Field Ultra Slow Roll Inflation: Primordial Black Holes From Straight Bulk And Distorted Boundary

Abstract

We study a model of two-field ultra-slow-roll (USR) inflation bounded by a curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during the USR phase and from the inhomogeneities at the boundary. We employ the full non-linear $\delta N$ formalism to calculate the probability distribution function (PDF) for curvature perturbation non-perturbatively and show that the non-linear effects can significantly enhance the abundance of the primordial black holes (PBHs). For large curvature perturbations, the PDF has a universal exponential tail, but for the intermediate values, the PDF -- and, therefore, the abundance of the PBHs -- depend sensitively on the geometry of the boundary.

arXiv comment9 pages, 5 figures, V2: matches the published version

References in corpus (43)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Planck 2018 results. X. Constraints on inflation
• Did LIGO detect dark matter?
• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• A new approach to the evolution of cosmological perturbations on large scales
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• A general proof of the conservation of the curvature perturbation
• Primordial Black Holes as Dark Matter: Recent Developments
• Adiabatic and entropy perturbations from inflation
• The inflationary prediction for primordial non-gaussianity
• Primordial Non-Gaussianities from Inflation Models
• The clustering of massive Primordial Black Holes as Dark Matter: measuring their mass distribution with Advanced LIGO
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Horizon crossing and inflation with large η
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Non-Gaussianity in the modulated reheating scenario
• Primordial trispectrum from inflation
• Generating the curvature perturbation at the end of inflation
• Signatures of primordial black hole dark matter
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Quantum diffusion during inflation and primordial black holes
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Primordial Black Holes from Inflation and Quantum Diffusion
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Multi-brid inflation and non-Gaussianity
• Non-Gaussianity and the induced gravitational wave background
• Primordial black holes from the preheating instability
• Revisiting non-Gaussianity from non-attractor inflation models
• The Formation Probability of Primordial Black Holes
• Large non-Gaussianity from multi-brid inflation
• Ultra-slow-roll inflation with quantum diffusion
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• Stochastic Ultra Slow Roll Inflation
• δN formalism
• One Small Step for an Inflaton, One Giant Leap for Inflation: a novel non-Gaussian tail and primordial black holes
• Rare Events Are Nonperturbative: Primordial Black Holes From Heavy-Tailed Distributions

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• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
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• Sudden braking and turning with a two-field potential bump: primordial black hole formation
• Inflation with Stochastic Boundary
• Itô, Stratonovich, and zoom-in schemes in stochastic inflation
• An analytical approximation of the evolution of the primordial curvature perturbation in the ultraslow-roll inflation
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