Non-Gaussian Tail of the Curvature Perturbation in Stochastic Ultraslow-Roll Inflation: Implications for Primordial Black Hole Production

Figueroa, Daniel G.; Raatikainen, Sami; Rasanen, Syksy; Tomberg, Eemeli

doi:10.1103/PhysRevLett.127.101302

Non-Gaussian Tail of the Curvature Perturbation in Stochastic Ultraslow-Roll Inflation: Implications for Primordial Black Hole Production

Daniel G. Figueroa
(
- Valencia U., IFIC
)
,
Sami Raatikainen
(
- Helsinki U.
)
,
Syksy Rasanen
(
- Helsinki U.
)
,
Eemeli Tomberg
(
- NICPB, Tallinn
)

Dec 11, 2020

6 pages

Published in:

Phys.Rev.Lett. 127 (2021) 10, 101302

Published: Sep 3, 2021

e-Print:

2012.06551 [astro-ph.CO]

DOI:

10.1103/PhysRevLett.127.101302 (publication)

Report number:

HIP-2020-32/TH

View in:

pdf

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Abstract: (APS)

We consider quantum diffusion in ultraslow-roll (USR) inflation. Using the

Δ N

formalism, we present the first stochastic calculation of the probability distribution

P (R)

of the curvature perturbation during USR. We capture the nonlinearity of the system, solving the coupled evolution of the coarse-grained background with random kicks from the short wavelength modes, simultaneously with the mode evolution around the stochastic background. This leads to a non-Markovian process from which we determine the highly non-Gaussian tail of

P (R)

. Studying the production of primordial black holes in a viable model, we find that stochastic effects during USR increase their abundance by a factor of

\sim 10^{5}

compared with the Gaussian approximation.

Note:

6 pages, 2 figures. v2: 5+3 pages, 2 figures. Improved analysis and text, gathered 400 times more data. Small change in results. Published version

curvature: perturbation
black hole: primordial
background: stochastic
black hole: production
effect: stochastic
inflation
non-Gaussianity
diffusion
slow-roll approximation
space-time: Robertson-Walker

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