@Article{Motohashi+Hu2017, author="Motohashi, H. and Hu, W.", title="Primordial black holes and slow-roll violation", journal="Physical Review D", year="2017", publisher="Amer Physical Soc", volume="96", number="6", pages="063503--9pp", abstract="For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least O(1) in order to enhance the curvature power spectrum within the required number of e-folds between cosmic microwave background scales and PBH mass scales. Power spectrum predictions which rely on the inflaton remaining on the slow-roll attractor can fail dramatically leading to qualitatively incorrect conclusions in models like an inflection potential and misestimate the mass scale in a running mass model. We show that an optimized temporal evaluation of the Hubble slow-roll parameters to second order remains a good description for a wide range of PBH formation models where up to a 10(7) amplification of power occurs in 10 e-folds or more.", optnote="WOS:000409436800005", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3286), last updated on Wed, 20 Sep 2017 11:36:35 +0000", issn="2470-0010", doi="10.1103/PhysRevD.96.063503", opturl="http://arxiv.org/abs/1706.06784", opturl="https://doi.org/10.1103/PhysRevD.96.063503", archivePrefix="arXiv", eprint="1706.06784", language="English" }