Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Stochastic constant-roll inflation and primordial black holes
AU - Tomberg, Eemeli
PY - 2023/8/15
Y1 - 2023/8/15
N2 - Stochastic inflation resolves primordial perturbations nonlinearly, 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 σk2 and the second slow-roll parameter ϵ2. With a large ϵ2, 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 nonstochastic ΔN formalism.
AB - Stochastic inflation resolves primordial perturbations nonlinearly, 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 σk2 and the second slow-roll parameter ϵ2. With a large ϵ2, 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 nonstochastic ΔN formalism.
U2 - 10.1103/PhysRevD.108.043502
DO - 10.1103/PhysRevD.108.043502
M3 - Journal article
AN - SCOPUS:85167887172
VL - 108
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 4
M1 - 043502
ER -