{
  "id": "0906.0507",
  "version": "v2",
  "published": "2009-06-02T15:25:54.000Z",
  "updated": "2009-11-25T04:07:18.000Z",
  "title": "Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces",
  "authors": [
    "Atsushi Taruya",
    "Takahiro Nishimichi",
    "Shun Saito",
    "Takashi Hiramatsu"
  ],
  "comment": "25 pages, 15 figures, accepted for publication in Phys.Rev.D",
  "doi": "10.1103/PhysRevD.80.123503",
  "categories": [
    "astro-ph.CO"
  ],
  "abstract": "We study the non-linear evolution of baryon acoustic oscillations in the matter power spectrum and correlation function from the improved perturbation theory (PT). Based on the framework of renormalized PT, we apply the {\\it closure approximation} that truncates the infinite series of loop contributions at one-loop order, and obtain a closed set of integral equations for power spectrum and non-linear propagator. The resultant integral expressions keep important non-perturbative properties which can dramatically improve the prediction of non-linear power spectrum. Employing the Born approximation, we then derive the analytic expressions for non-linear power spectrum and the predictions are made for non-linear evolution of baryon acoustic oscillations in power spectrum and correlation function. A detailed comparison between improved PT results and N-body simulations shows that a percent-level agreement is achieved in a certain range in power spectrum and in a rather wider range in correlation function. Combining a model of non-linear redshift-space distortion, we also evaluate the power spectrum and correlation function in correlation function. In contrast to the results in real space, the agreement between N-body simulations and improved PT predictions tends to be worse, and a more elaborate modeling for redshift-space distortion needs to be developed. Nevertheless, with currently existing model, we find that the prediction of correlation function has a sufficient accuracy compared with the cosmic-variance errors for future galaxy surveys with volume of a few (Gpc/h)^3 at z>=0.5.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-25T04:07:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.30.Mv",
      "95.36.+x",
      "98.80.-k",
      "98.65.Dx"
    ],
    "keywords": [
      "baryon acoustic oscillations",
      "non-linear evolution",
      "correlation function",
      "perturbation theory",
      "redshift spaces"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2009,
      "month": "Dec",
      "volume": 80,
      "number": 12,
      "pages": 123503
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 822068,
      "adsabs": "2009PhRvD..80l3503T"
    }
  }
}