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Uphill inflation
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abstract
Primordial black holes (PBH) may form from large cosmological perturbations, produced during inflation when the inflaton's velocity is sufficiently slowed down. This usually requires very flat regions in the inflationary potential. In this paper we investigate another possibility, namely that the inflaton climbs up its potential. When it turns back, its velocity crosses zero, which triggers a short phase of ``uphill inflation'' during which cosmological perturbations grow at a very fast rate. This naturally occurs in double-well potentials if the width of the well is close to the Planck scale. We include the effect of quantum diffusion in this scenario, which plays a crucial role, by means of the stochastic-$\delta N$ formalism. We find that ultra-light black holes are produced with very high abundances, which do not depend on the energy scale at which uphill inflation occurs, and which suffer from substantially less fine tuning than in alternative PBH-production models. They are such that PBHs later drive a phase of PBH domination.
Forward citations
Cited by 4 Pith papers
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How deep is the dip and how tall are the wiggles in inflationary power spectra?
In single-field PBH inflation models, a power-spectrum dip appears precisely when the inflaton velocity does not flip sign, and the peak amplitude scales as the inverse square of the dip amplitude.
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Harvesting primordial black holes from stochastic trees with $\texttt{FOREST}$
A stochastic-branching-tree implementation of inflation, FOREST, computes curvature maps and primordial black hole mass functions with cloud-in-cloud effects included.
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Superhorizon curvature perturbations in hybrid inflation revisited
Hybrid inflation's waterfall tachyonic instability grows isocurvature modes that convert to curvature perturbations at the field-space turn, yielding a k^{3}-peaked spectrum with always-positive f_NL that enhances PBH...
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Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA
LISA can reconstruct the primordial curvature power spectrum from scalar-induced gravitational waves, with percent-level precision near the peak and Bayesian tests separating SIGWs from other sources.
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