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Primordial Black Holes from the inflating curvaton

Kazunori Kohri, Chia-Min Lin, Tomohiro Matsuda

Abstract

The primordial black hole (PBH) formation is studied in light of the inflating curvaton. The typical scale of the PBH formation is determined by curvaton inflation, which may generate PBH with $10^{14}\mathrm{g}\le M_\mathrm{PBH}\le 10^{38}\mathrm{g}$ when curvaton inflation gives the number of e-foldings $5\leq N_2\leq 38$. The non-Gaussianity of the inflating curvaton does not prevent the PBH formation.

Primordial Black Holes from the inflating curvaton

Abstract

The primordial black hole (PBH) formation is studied in light of the inflating curvaton. The typical scale of the PBH formation is determined by curvaton inflation, which may generate PBH with when curvaton inflation gives the number of e-foldings . The non-Gaussianity of the inflating curvaton does not prevent the PBH formation.

Paper Structure

This paper contains 6 sections, 26 equations, 2 figures.

Figures (2)

  • Figure 1: We are considering a scenario in which the curvaton potential is flipped during the primordial inflation because of the Hubble-induced mass, while it is negative during the secondary (curvaton) inflation. The density of the curvaton is subdominant during the primordial inflation.
  • Figure 2: The field perturbation has significant scale dependence. The peak appears at $k^{-1}_\mathrm{PBH}$, which corresponds to the scale that touches the horizon at the beginning of the curvaton inflation. In this picture the amplitude of the perturbation that leaves the horizon during the first inflation decreases during primordial inflation (${\cal T}_1 \ll 1$), while it increases during curvaton inflation (${\cal T}_2 \ge 1$). The perturbation entering into the horizon during the intermediate epoch causes oscillation around its average and decreases its amplitude. In the third picture, the perturbation newly created during the curvaton inflation is not dominating the amplitude at $k_\mathrm{PBH}$.