Reconstruction of potentials of hybrid inflation in the light of primordial black hole formation

Feb 4, 2021
14 pages
Published in:
  • JCAP 06 (2021) 054
  • Published: Jun 30, 2021
e-Print:

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Abstract: (IOP)
The large enhancement of the primordial power spectrum of the curvature perturbation can seed the formation of primordial black hole, that can play as a dark matter component in the Universe. In the literature, the enhanced power spectrum was calculated from the inflationary potential. However, in this paper, we show that a potential of multi scalar fields can be reconstructed from a given power spectrum which is made of a scale-invariant one on large scales and the other with a peak on small scales. In this reconstructed potential, the slow-roll of the second field in the curved trajectory is responsible for the generation of a peak in the power spectrum on small scales through the isocurvature perturbation. With multi scalar fields, the reconstructed potential may not be unique and we can find different potentials from a given power spectrum.
Note:
  • 14 pages, 4 figures
  • black hole: primordial
  • inflation: model
  • power spectrum: primordial
  • black hole: formation
  • potential: hybrid
  • inflation: hybrid
  • isocurvature: perturbation
  • curvature: perturbation
  • field theory: scalar
  • dark matter