TY  - JOUR
AU  - Figueroa, D. G.
AU  - Raatikainen, S.
AU  - Rasanen, S.
AU  - Tomberg, E.
PY  - 2021
DA  - 2021//
TI  - Non-Gaussian Tail of the Curvature Perturbation in Stochastic Ultraslow-Roll Inflation: Implications for Primordial Black Hole Production
T2  - Phys. Rev. Lett.
JO  - Physical Review Letters
SP  - 101302
EP  - 7pp
VL  - 127
IS  - 10
PB  - Amer Physical Soc
AB  - 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.
SN  - 0031-9007
UR  - https://arxiv.org/abs/2012.06551
UR  - https://doi.org/10.1103/PhysRevLett.127.101302
DO  - 10.1103/PhysRevLett.127.101302
LA  - English
N1  - WOS:000692791400004
ID  - Figueroa_etal2021
ER  -