Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background

dc.creatorTashiro, Hiroyuki
dc.creatorSugiyama, Naoshi
dc.date2008-01-21
dc.date2008-07-11
dc.date.accessioned2026-07-07T11:39:57Z
dc.date.available2026-07-07T11:39:57Z
dc.descriptionPossible 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 $ζ_{\rm th} =0.7$ and $ζ_{\rm th} =1.2$, respectively, for the PBH mass range between $2.7\times 10^{11}$g and $1.6 \times 10^{12}$g, and $n < 1.312$ and $n<1.343$ in the thresholds of peaks $ζ_{\rm th} =0.7$ and $ζ_{\rm th} =1.2$, respectively, for the PBH mass range between $1.6 \times 10^{12} {\rm g}$ and $3.5\times 10^{13}$g, which correspond to the comoving scales between $3 \times 10^{-18}$Mpc and $ 4\times 10^{-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 $β<10^{-21}$ 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.
dc.descriptionaccepted for publication in Phys.Rev.D
dc.identifierhttps://arxiv.org/abs/0801.3172
dc.identifierhttp://arxiv.org/abs/0801.3172
dc.identifierPhys.Rev.D78:023004,2008
dc.identifierdoi:10.1103/PhysRevD.78.023004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200105
dc.subjectAstrophysics
dc.titleConstraints on Primordial Black Holes by Distortions of Cosmic Microwave Background
dc.typetext

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