@Article{Figueroa_etal2021, author="Figueroa, D. G. and Raatikainen, S. and Rasanen, S. and Tomberg, E.", title="Non-Gaussian Tail of the Curvature Perturbation in Stochastic Ultraslow-Roll Inflation: Implications for Primordial Black Hole Production", journal="Physical Review Letters", year="2021", publisher="Amer Physical Soc", volume="127", number="10", pages="101302--7pp", abstract="We consider quantum diffusion in ultraslow-roll (USR) inflation. Using the Delta 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 similar to 10(5) compared with the Gaussian approximation.", optnote="WOS:000692791400004", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4952), last updated on Mon, 13 Sep 2021 13:32:46 +0000", issn="0031-9007", doi="10.1103/PhysRevLett.127.101302", opturl="https://arxiv.org/abs/2012.06551", opturl="https://doi.org/10.1103/PhysRevLett.127.101302", language="English" }