Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background

Hiroyuki Tashiro; Naoshi Sugiyama

doi:10.1103/PhysRevD.78.023004

paper

Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background

arXiv:0801.3172 · doi:10.1103/PhysRevD.78.023004

Abstract

Possible influence of primordial black hole (PBH) evaporations on cosmic microwave background (CMB) is investigated. The spectrum distortions of CMB from the black-body spectrum are described by the chemical potential $μ$ and the Compton parameter $y$ . From COBE/FIRAS limits on $μ$ and $y$ , the power law index $n$ of primordial density fluctuations and the mass fraction of PBHs $β$ are constrained by employing the peak theory for the formation process of PBHs. Constraints set here are $n < 1.304$ and $n < 1.333$ in the thresholds of peaks $ζ_{th} = 0.7$ and $ζ_{th} = 1.2$ , respectively, for the PBH mass range between $2.7 \times 1 0^{11}$ g and $1.6 \times 1 0^{12}$ g, and $n < 1.312$ and $n < 1.343$ in the thresholds of peaks $ζ_{th} = 0.7$ and $ζ_{th} = 1.2$ , respectively, for the PBH mass range between $1.6 \times 1 0^{12} g$ and $3.5 \times 1 0^{13}$ g, which correspond to the comoving scales between $3 \times 1 0^{- 18}$ Mpc and $4 \times 1 0^{- 17}$ Mpc. The constraint on the PBH fraction, which is the direct probe of the amplitude of density fluctuations in these scales, stays an almost same value as $β < 1 0^{- 21}$ in these mass ranges. It is also found that, with these constraints, UV photons injected by PBH evaporations are unlikely ionize vast hydrogen atoms after recombination.

arXiv commentaccepted for publication in Phys.Rev.D

Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background

Abstract

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