Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2018/08/018
Keywords
inflation; physics of the early universe; primordial black holes
Funding
- MINECO-FEDER [FPA2015-68048-03-3P]
- Centro de Excelencia Severo Ochoa Program [SEV-2012-0249]
- Spanish FPU Grant [FPU14/01618]
- FPU program
- Salvador de Madarriaga program [PRX17/00056]
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Primordial black-holes (PBH) can be produced in single-field models of inflation with a quasi-in flection point in the potential. In these models, a large production of PBHs requires a deviation from the slow-roll (SR) trajectory. In turn, this SR violation can produce an exponential growth of quantum fluctuations. We study the back-reaction of these quantum modes on the inflationary dynamics using stochastic inflation in the Hamilton-Jacobi formalism. We develop a methodology to solve quantum diffusion beyond SR in terms of the statistical moments of the probability distribution. We apply these techniques to a toy model potential with a quasi-in flection point. We find that there is an enhancement of the power spectrum due to the dominance of the stochastic noise in the phase beyond SR. Moreover, non-Gaussian corrections become as well relevant with a large positive kurtosis. Altogether, this produces a significant boost of PBH production. We discuss how our results extend to other single-field models with similar dynamics. We conclude that the abundance of PBHs in this class of models should be revisited including quantum diffusion.
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