On departures from a power law in the galaxy correlation function

Idit Zehavi, David H. Weinberg, Zheng Zheng, Andreas A. Berlind, Joshua A. Frieman, Román Scoccimarro, Ravi K. Sheth, Michael R. Blanton, Max Tegmark, Houjun J. Mo, Neta A. Bahcall, Jon Brinkmann, Scott Burles, István Csabai, Masataka Fukugita, James E. Gunn, Don Q. Lamb, Jon Loveday, Robert H. Lupton, Avery MeiksinJeffrey A. Munn, Robert C. Nichol, David Schlegel, Donald P. Schneider, Mark SubbaRao, Alexander S. Szalay, Alan Uomoto, Donald G. York

    Research output: Contribution to journalArticle

    Abstract

    We measure the projected correlation function wp(rp) from the Sloan Digital Sky Survey for a flux-limited sample of 118,000 galaxies and a volume-limited subset of 22,000 galaxies with absolute magnitude M r < -21. Both correlation functions show subtle but systematic departures from the best-fit power law, in particular a change in slope at rp ∼ 1-2 h-1 Mpc. These departures are stronger for the volume-limited sample, which is restricted to relatively luminous galaxies. We show that the inflection point in wp(rp) can be naturally explained by contemporary models of galaxy clustering, according to which it marks the transition from a large-scale regime dominated by galaxy pairs in separate dark matter halos to a small-scale regime dominated by galaxy pairs in the same dark matter halo. For example, given the dark halo population predicted by an inflationary cold dark matter scenario, the projected correlation function of the volume-limited sample can be well reproduced by a model in which the mean number of Mr < -21 galaxies in a halo of mass M > M1 = 4.74 × 1013 h-1 M is 〈N〉M = (M/M1) 0.89, with 75% of the galaxies residing in less massive, single-galaxy halos and simple auxiliary assumptions about the spatial distribution of galaxies within halos and the fluctuations about the mean occupation. This physically motivated model has the same number of free parameters as a power law, and it fits the wp(rp) data better, with a χ2/dof = 0.93, compared to 6.12 (for 10 degrees of freedom, incorporating the covariance of the correlation function errors). Departures from a power-law correlation function encode information about the relation between galaxies and dark matter halos. Higher precision measurements of these departures for multiple classes of galaxies will constrain galaxy bias and provide new tests of the theory of galaxy formation.

    Original languageEnglish (US)
    Pages (from-to)16-24
    Number of pages9
    JournalAstrophysical Journal
    Volume608
    Issue number1 I
    DOIs
    StatePublished - Jun 10 2004

    Fingerprint

    power law
    galaxies
    halos
    occupation
    spatial distribution
    galactic evolution
    set theory
    dark matter
    degrees of freedom
    freedom
    test
    parameter

    Keywords

    • Cosmology: observations
    • Cosmology: theory
    • Galaxies: distances and redshifts
    • Galaxies: fundamental parameters
    • Galaxies: statistics
    • Large-scale structure of universe

    ASJC Scopus subject areas

    • Space and Planetary Science

    Cite this

    Zehavi, I., Weinberg, D. H., Zheng, Z., Berlind, A. A., Frieman, J. A., Scoccimarro, R., ... York, D. G. (2004). On departures from a power law in the galaxy correlation function. Astrophysical Journal, 608(1 I), 16-24. https://doi.org/10.1086/386535

    On departures from a power law in the galaxy correlation function. / Zehavi, Idit; Weinberg, David H.; Zheng, Zheng; Berlind, Andreas A.; Frieman, Joshua A.; Scoccimarro, Román; Sheth, Ravi K.; Blanton, Michael R.; Tegmark, Max; Mo, Houjun J.; Bahcall, Neta A.; Brinkmann, Jon; Burles, Scott; Csabai, István; Fukugita, Masataka; Gunn, James E.; Lamb, Don Q.; Loveday, Jon; Lupton, Robert H.; Meiksin, Avery; Munn, Jeffrey A.; Nichol, Robert C.; Schlegel, David; Schneider, Donald P.; SubbaRao, Mark; Szalay, Alexander S.; Uomoto, Alan; York, Donald G.

    In: Astrophysical Journal, Vol. 608, No. 1 I, 10.06.2004, p. 16-24.

    Research output: Contribution to journalArticle

    Zehavi, I, Weinberg, DH, Zheng, Z, Berlind, AA, Frieman, JA, Scoccimarro, R, Sheth, RK, Blanton, MR, Tegmark, M, Mo, HJ, Bahcall, NA, Brinkmann, J, Burles, S, Csabai, I, Fukugita, M, Gunn, JE, Lamb, DQ, Loveday, J, Lupton, RH, Meiksin, A, Munn, JA, Nichol, RC, Schlegel, D, Schneider, DP, SubbaRao, M, Szalay, AS, Uomoto, A & York, DG 2004, 'On departures from a power law in the galaxy correlation function', Astrophysical Journal, vol. 608, no. 1 I, pp. 16-24. https://doi.org/10.1086/386535
    Zehavi I, Weinberg DH, Zheng Z, Berlind AA, Frieman JA, Scoccimarro R et al. On departures from a power law in the galaxy correlation function. Astrophysical Journal. 2004 Jun 10;608(1 I):16-24. https://doi.org/10.1086/386535
    Zehavi, Idit ; Weinberg, David H. ; Zheng, Zheng ; Berlind, Andreas A. ; Frieman, Joshua A. ; Scoccimarro, Román ; Sheth, Ravi K. ; Blanton, Michael R. ; Tegmark, Max ; Mo, Houjun J. ; Bahcall, Neta A. ; Brinkmann, Jon ; Burles, Scott ; Csabai, István ; Fukugita, Masataka ; Gunn, James E. ; Lamb, Don Q. ; Loveday, Jon ; Lupton, Robert H. ; Meiksin, Avery ; Munn, Jeffrey A. ; Nichol, Robert C. ; Schlegel, David ; Schneider, Donald P. ; SubbaRao, Mark ; Szalay, Alexander S. ; Uomoto, Alan ; York, Donald G. / On departures from a power law in the galaxy correlation function. In: Astrophysical Journal. 2004 ; Vol. 608, No. 1 I. pp. 16-24.
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    AU - Weinberg, David H.

    AU - Zheng, Zheng

    AU - Berlind, Andreas A.

    AU - Frieman, Joshua A.

    AU - Scoccimarro, Román

    AU - Sheth, Ravi K.

    AU - Blanton, Michael R.

    AU - Tegmark, Max

    AU - Mo, Houjun J.

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    AU - Csabai, István

    AU - Fukugita, Masataka

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    AU - Lupton, Robert H.

    AU - Meiksin, Avery

    AU - Munn, Jeffrey A.

    AU - Nichol, Robert C.

    AU - Schlegel, David

    AU - Schneider, Donald P.

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    KW - Galaxies: statistics

    KW - Large-scale structure of universe

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