Abstract
We show a textbook potential for single-field inflation, namely the Coleman–Weinbergmodel can induce double inflation and formation of primordial black holes (PBHs), becausefluctuations that leave the horizon near the end of first inflation are anomalously enhancedat the onset of second inflation when the time-dependent mode turns into a growing moderather than a decaying mode. The mass of PBHs produced in this mechanismwith an appreciable density are distributed at certain intervals depending on themodel parameters. We also calculate the effects of non-Gaussian statistics dueto higher-order interactions on the abundance of PBHs, which turns out to besmall.
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