Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation

Abstract

We show a text-book potential for single-field inflation, namely, the Coleman-Weinberg model can induce double inflation and formation of primordial black holes (PBHs), because fluctuations that leave the horizon near the end of first inflation are anomalously enhanced at the onset of second inflation when the time-dependent mode turns to a growing mode rather than a decaying mode. The mass of PBHs produced in this mechanism lies in several discrete ranges depending on the model parameters. We also calculate the effects of non-Gaussian statistics due to higher-order interactions on the abundance of PBHs, which turns out to be small.

22pages, 8figures

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Cited by in corpus (14)

• Primordial Black Holes as Dark Matter
• Stochastic gravitational waves associated with the formation of primordial black holes
• Primordial seeds of supermassive black holes
• Constraints on the induced gravitational wave background from primordial black holes
• Primordial black holes as biased tracers
• Supermassive black holes formed by direct collapse of inflationary perturbations
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• Generating Primordial Black Holes Via Hilltop-Type Inflation Models
• Constraints on amplitudes of curvature perturbations from primordial black holes
• Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
• Large curvature perturbations near horizon crossing in single-field inflation models
• Non-Gaussianity of superhorizon curvature perturbations beyond $\delta$ N formalism
• Self-consistent initial conditions for primordial black hole formation
• The double formation of primordial black holes