“…Actually, so far a lot of inflationary models have been proposed in which PBHs are produced at small scales while simultaneously fitting the CMB normalization at large scales. For example, there are models of double inflation [920,887], hilltop inflation [921,922,923], preheating [924,197], curvaton [925,213], thermal inflation [250], false vacuum bubbles [926,927], Q-ball formation [91,928], and so on. These models predict that curvature perturbation can be P ζ ∼ O(0.1) at small scales due to special features in the spectrum, e.g.…”