Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts

Adrian C. Pope, Takahiko Matsubara, Alexander S. Szalay, Michael R. Blanton, Daniel J. Eisenstein, Jim Gray, Bhuvnesh Jain, Neta A. Bahcall, Jon Brinkmann, Tamas Budavari, Andrew J. Connolly, Joshua A. Frieman, James E. Gunn, David Johnston, Stephen M. Kent, Robert H. Lupton, Avery Meiksin, Robert C. Nichol, Donald P. Schneider, Ryan Scranton & 6 others Michael A. Strauss, Istvan Szapudi, Max Tegmark, Michael S. Vogeley, David H. Weinberg, Idit Zehavi

    Research output: Contribution to journalArticle

    Abstract

    We present estimates of cosmological parameters from the application of the Karhunen-Loève transform to the analysis of the three-dimensional power spectrum of density fluctuations using Sloan Digital Sky Survey galaxy redshifts. We use Ωmh and fb = Ωb/ Ωm to describe the shape of the power spectrum, σ8gL for the (linearly extrapolated) normalization, and β to parameterize linear theory redshift-space distortions. On scales k ≲ 0.16 h Mpc-1, our maximum likelihood values are Ωmh = 0.264 ± 0.043, fb = 0.286 ± 0.065, σ8gL = 0.966 ± 0.048, and β= 0.45 ± 0.12. When we take a prior on Ωb from the Wilkinson Micro-wave Anisotropy Probe (WMAP), we find Ωmh = 0.207 ± 0.030, which is in excellent agreement with WMAP and the Two-Degree Field. This indicates that we have reasonably measured the gross shape of the power spectrum, but we have difficulty breaking the degeneracy between Ωmh and fb, because the baryon oscillations are not resolved in the current spectroscopic survey window function.

    Original languageEnglish (US)
    Pages (from-to)655-660
    Number of pages6
    JournalAstrophysical Journal
    Volume607
    Issue number2 I
    DOIs
    StatePublished - Jun 1 2004

    Fingerprint

    power spectra
    Microwave Anisotropy Probe
    galaxies
    anisotropy
    probe
    baryons
    transform
    oscillation
    oscillations
    estimates
    analysis
    parameter
    microwave
    normalisation

    Keywords

    • Cosmological parameters
    • Cosmology: theory
    • Galaxies: distances and redshifts
    • Large-scale structure of universe
    • Methods: statistical

    ASJC Scopus subject areas

    • Space and Planetary Science

    Cite this

    Pope, A. C., Matsubara, T., Szalay, A. S., Blanton, M. R., Eisenstein, D. J., Gray, J., ... Zehavi, I. (2004). Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts. Astrophysical Journal, 607(2 I), 655-660. https://doi.org/10.1086/383533

    Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts. / Pope, Adrian C.; Matsubara, Takahiko; Szalay, Alexander S.; Blanton, Michael R.; Eisenstein, Daniel J.; Gray, Jim; Jain, Bhuvnesh; Bahcall, Neta A.; Brinkmann, Jon; Budavari, Tamas; Connolly, Andrew J.; Frieman, Joshua A.; Gunn, James E.; Johnston, David; Kent, Stephen M.; Lupton, Robert H.; Meiksin, Avery; Nichol, Robert C.; Schneider, Donald P.; Scranton, Ryan; Strauss, Michael A.; Szapudi, Istvan; Tegmark, Max; Vogeley, Michael S.; Weinberg, David H.; Zehavi, Idit.

    In: Astrophysical Journal, Vol. 607, No. 2 I, 01.06.2004, p. 655-660.

    Research output: Contribution to journalArticle

    Pope, AC, Matsubara, T, Szalay, AS, Blanton, MR, Eisenstein, DJ, Gray, J, Jain, B, Bahcall, NA, Brinkmann, J, Budavari, T, Connolly, AJ, Frieman, JA, Gunn, JE, Johnston, D, Kent, SM, Lupton, RH, Meiksin, A, Nichol, RC, Schneider, DP, Scranton, R, Strauss, MA, Szapudi, I, Tegmark, M, Vogeley, MS, Weinberg, DH & Zehavi, I 2004, 'Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts', Astrophysical Journal, vol. 607, no. 2 I, pp. 655-660. https://doi.org/10.1086/383533
    Pope AC, Matsubara T, Szalay AS, Blanton MR, Eisenstein DJ, Gray J et al. Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts. Astrophysical Journal. 2004 Jun 1;607(2 I):655-660. https://doi.org/10.1086/383533
    Pope, Adrian C. ; Matsubara, Takahiko ; Szalay, Alexander S. ; Blanton, Michael R. ; Eisenstein, Daniel J. ; Gray, Jim ; Jain, Bhuvnesh ; Bahcall, Neta A. ; Brinkmann, Jon ; Budavari, Tamas ; Connolly, Andrew J. ; Frieman, Joshua A. ; Gunn, James E. ; Johnston, David ; Kent, Stephen M. ; Lupton, Robert H. ; Meiksin, Avery ; Nichol, Robert C. ; Schneider, Donald P. ; Scranton, Ryan ; Strauss, Michael A. ; Szapudi, Istvan ; Tegmark, Max ; Vogeley, Michael S. ; Weinberg, David H. ; Zehavi, Idit. / Cosmological parameters from eigenmode analysis of sloan digital sky survey galaxy redshifts. In: Astrophysical Journal. 2004 ; Vol. 607, No. 2 I. pp. 655-660.
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    abstract = "We present estimates of cosmological parameters from the application of the Karhunen-Lo{\`e}ve transform to the analysis of the three-dimensional power spectrum of density fluctuations using Sloan Digital Sky Survey galaxy redshifts. We use Ωmh and fb = Ωb/ Ωm to describe the shape of the power spectrum, σ8gL for the (linearly extrapolated) normalization, and β to parameterize linear theory redshift-space distortions. On scales k ≲ 0.16 h Mpc-1, our maximum likelihood values are Ωmh = 0.264 ± 0.043, fb = 0.286 ± 0.065, σ8gL = 0.966 ± 0.048, and β= 0.45 ± 0.12. When we take a prior on Ωb from the Wilkinson Micro-wave Anisotropy Probe (WMAP), we find Ωmh = 0.207 ± 0.030, which is in excellent agreement with WMAP and the Two-Degree Field. This indicates that we have reasonably measured the gross shape of the power spectrum, but we have difficulty breaking the degeneracy between Ωmh and fb, because the baryon oscillations are not resolved in the current spectroscopic survey window function.",
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    AU - Pope, Adrian C.

    AU - Matsubara, Takahiko

    AU - Szalay, Alexander S.

    AU - Blanton, Michael R.

    AU - Eisenstein, Daniel J.

    AU - Gray, Jim

    AU - Jain, Bhuvnesh

    AU - Bahcall, Neta A.

    AU - Brinkmann, Jon

    AU - Budavari, Tamas

    AU - Connolly, Andrew J.

    AU - Frieman, Joshua A.

    AU - Gunn, James E.

    AU - Johnston, David

    AU - Kent, Stephen M.

    AU - Lupton, Robert H.

    AU - Meiksin, Avery

    AU - Nichol, Robert C.

    AU - Schneider, Donald P.

    AU - Scranton, Ryan

    AU - Strauss, Michael A.

    AU - Szapudi, Istvan

    AU - Tegmark, Max

    AU - Vogeley, Michael S.

    AU - Weinberg, David H.

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