On primordial black holes from an inflection point
arXiv:1706.04226
Abstract
Recently, it has been claimed that inflationary models with an inflection point in the scalar potential can produce a large resonance in the power spectrum of curvature perturbation. In this paper however we show that the previous analyses are incorrect. The reason is twofold: firstly, the inflaton is over-shot from a stage of standard inflation and so deviates from the slow-roll attractor before reaching the inflection. Secondly, on the (or close to) the inflection point, the ultra-slow-roll trajectory supersede the slow-roll one and thus, the slow-roll approximations used in the literature cannot be used. We then reconsider the model and provide a recipe for how to produce nevertheless a large peak in the matter power spectrum via fine-tuning of parameters.
arXiv comment15 pages, 6 figures; v3: references and additional minor comments added. Version accepted for publication in Physics of the Dark Universe
References in corpus (19)
- Primordial Black Holes as Dark Matter
- Primordial black holes from single field models of inflation
- Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies
- Threshold of primordial black hole formation
- Horizon crossing and inflation with large η
- Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
- Computations of primordial black hole formation
- Primordial Black Hole production in Critical Higgs Inflation
- Single Field Double Inflation and Primordial Black Holes
- Higgs inflation at the critical point
- A new calculation of the mass fraction of primordial black holes
- Improved Estimates of Cosmological Perturbations
- Higgs inflation from Standard Model criticality
- Orbital eccentricities in primordial black holes binaries
- Influence of large local and non-local bispectra on primordial black hole abundance
- Consistently violating the non-Gaussian consistency relation
- Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
- Global adiabaticity and non-Gaussianity consistency condition
- Small field models with gravitational wave signature supported by CMB data