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• W4385454900 abstract "Stochastic inflation resolves primordial perturbations non-linearly, probing their probability distribution deep into its non-Gaussian tail. The strongest perturbations collapse into primordial black holes. In typical black-hole-producing single-field inflation, the strongest stochastic kicks occur during a period of constant roll. In this paper, I solve the stochastic constant-roll system, drawing the stochastic kicks from a numerically computed power spectrum, beyond the usual de Sitter approximation. The perturbation probability distribution is an analytical function of the integrated curvature power spectrum $sigma_k^2$ and the second slow-roll parameter $epsilon_2$. With a large $epsilon_2$, stochastic effects can reduce the height of the curvature power spectrum required to form asteroid mass black holes from $10^{-2}$ to $10^{-3}$. I compare these results to studies with the non-stochastic $Delta N$ formalism." @default.
• W4385454900 created "2023-08-02" @default.
• W4385454900 creator A5032093203 @default.
• W4385454900 date "2023-08-01" @default.
• W4385454900 modified "2023-10-16" @default.
• W4385454900 title "Stochastic constant-roll inflation and primordial black holes" @default.
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• W4385454900 doi "https://doi.org/10.1103/physrevd.108.043502" @default.
• W4385454900 hasPublicationYear "2023" @default.
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