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.

9 pages, 5 figures, V2: matches the published version

References in corpus (12)

• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Primordial Non-Gaussianities from Inflation Models
• Non-Gaussianity in the modulated reheating scenario
• Primordial trispectrum from inflation
• Multi-brid inflation and non-Gaussianity
• Non-Gaussianity and the induced gravitational wave background
• The Formation Probability of Primordial Black Holes
• Large non-Gaussianity from multi-brid inflation
• Ultra-slow-roll inflation with quantum diffusion
• 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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• Numerical simulations of stochastic inflation using importance sampling
• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
• Sharp turns in axion monodromy: primordial black holes and gravitational waves
• 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
• Primordial black holes from the ultraslow-roll phase in the inflaton--curvaton mixed field inflation