{
  "id": "0801.3172",
  "version": "v2",
  "published": "2008-01-21T11:46:07.000Z",
  "updated": "2008-07-11T14:02:40.000Z",
  "title": "Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background",
  "authors": [
    "Hiroyuki Tashiro",
    "Naoshi Sugiyama"
  ],
  "comment": "accepted for publication in Phys.Rev.D",
  "journal": "Phys.Rev.D78:023004,2008",
  "doi": "10.1103/PhysRevD.78.023004",
  "categories": [
    "astro-ph"
  ],
  "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 $\\mu$ and the Compton parameter $y$. From COBE/FIRAS limits on $\\mu$ and $y$, the power law index $n$ of primordial density fluctuations and the mass fraction of PBHs $\\beta$ 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 $\\zeta_{\\rm th} =0.7$ and $\\zeta_{\\rm th} =1.2$, 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 $\\zeta_{\\rm th} =0.7$ and $\\zeta_{\\rm th} =1.2$, 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 $\\beta<10^{-21}$ 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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-11T14:02:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "98.70.Vc",
      "98.80.Cq"
    ],
    "keywords": [
      "primordial black hole",
      "cosmic microwave background",
      "ionize vast hydrogen atoms",
      "constraint",
      "pbh mass range"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "Jul",
      "volume": 78,
      "number": 2,
      "pages": "023004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 777816,
      "adsabs": "2008PhRvD..78b3004T"
    }
  }
}