{
  "id": "2306.01696",
  "version": "v1",
  "published": "2023-06-02T17:12:35.000Z",
  "updated": "2023-06-02T17:12:35.000Z",
  "title": "Robustness of Baryon Acoustic Oscillations Measurements with Photometric Redshift Uncertainties",
  "authors": [
    "Keitaro Ishikawa",
    "Tomomi Sunayama",
    "Atsushi J. Nishizawa",
    "Hironao Miyatake"
  ],
  "comment": "10 pages, 11 figures, 3 tables",
  "categories": [
    "astro-ph.CO"
  ],
  "abstract": "We investigate the robustness of baryon acoustic oscillations (BAO) measurements with a photometric galaxy sample using mock galaxy catalogs with various sizes of photometric redshift (photo-$z$) uncertainties. We first investigate the robustness of BAO measurements, assuming we have a perfect knowledge of photo-$z$ uncertainties. We find that the BAO shift parameter $\\alpha$ can be constrained in an unbiased manner for various sizes of photometric redshift uncertainties at $z=0.251$, $0.617$, and $1.03$ as long as the number density of galaxies is high. A sparse galaxy sample causes additional noise in the covariance matrix calculation and it can bias the constraint on $\\alpha$. Next, we investigate the scenario where incorrect photometric redshift uncertainties are assumed in the fitting model and find that underestimating the photo-$z$ uncertainty leads to a degradation in the constraining power on $\\alpha$. In addition, we investigate BAO measurements with a cross-correlation signal between a spec-$z$ sample and a photo-$z$ sample. We find BAO constraints are unbiased and slightly tighter than the auto-correlation signal of a photo-$z$ sample. We also quantify the constraining power on $\\Omega_{\\rm m0}$ assuming the LSST-like covariance and find that the 95\\% confidence level is $\\sigma(\\Omega_{\\rm m0})\\sim0.03$-$0.05$ corresponding to the photo-$z$ uncertainties of 1\\% to 3\\% respectively. Finally, we examine whether the skewness in the photometric redshift can bias the constraint on $\\alpha$ and confirm that the constraint on $\\alpha$ is unbiased even if we use a fitting model assuming a Gaussian photo-$z$ uncertainty.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-02T17:12:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uncertainty",
      "baryon acoustic oscillations measurements",
      "robustness",
      "galaxy sample",
      "bao measurements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}