TY - JOUR AU - Motohashi, H. AU - Hu, W. PY - 2017 DA - 2017// TI - Primordial black holes and slow-roll violation T2 - Phys. Rev. D JO - Physical Review D SP - 063503 EP - 9pp VL - 96 IS - 6 PB - Amer Physical Soc AB - 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. SN - 2470-0010 UR - http://arxiv.org/abs/1706.06784 UR - https://doi.org/10.1103/PhysRevD.96.063503 DO - 10.1103/PhysRevD.96.063503 LA - English N1 - WOS:000409436800005 ID - Motohashi+Hu2017 ER -