4.7 Article

Dissecting the growth of the power spectrum for primordial black holes

Journal

PHYSICAL REVIEW D
Volume 100, Issue 10, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.103529

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Funding

  1. STFC [ST/P000592/1]
  2. Royal Society
  3. STFC [ST/P000592/1] Funding Source: UKRI

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We consider the steepest rate at which the power spectrum from single field inflation can grow, with the aim of providing a simple explanation for the k(4) growth found recently. With this explanation in hand we show that a slightly steeper k(5)(log k)(2) growth is, in fact, possible. Moreover, we argue that the power spectrum after a steep growth cannot immediately decay, but must remain large for the k modes that exit during a similar to 2 e-fold period. We also briefly consider how a strong growth can affect the spectral index of longer wavelengths preceding the growth and show that even the conversion of isocurvature modes likely cannot lead to a stronger growth. These results have implications for the formation of primordial black holes and other phenomena that require a large amplitude of power spectrum at short scales.

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