Cosmological constraints from the clustering of the Sloan Digital Sky Survey DR7 luminous red galaxies

Beth A. Reid, Will J. Percival, Daniel J. Eisenstein, Licia Verde, David N. Spergel, Ramin A. Skibba, Neta A. Bahcall, Tamas Budavari, Joshua A. Frieman, Masataka Fukugita, J. Richard Gott, James E. Gunn, Željko Ivezić, Gillian R. Knapp, Richard G. Kron, Robert H. Lupton, Timothy A. McKay, Avery Meiksin, Robert C. Nichol, Adrian C. PopeDavid J. Schlegel, Donald P. Schneider, Chris Stoughton, Michael A. Strauss, Alexander S. Szalay, Max Tegmark, Michael S. Vogeley, David H. Weinberg, Donald G. York, Idit Zehavi

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476 Scopus citations


We present the power spectrum of the reconstructed halo density field derived from a sample of luminous red galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS) Seventh Data Release (DR7). The halo power spectrum has a direct connection to the underlying dark matter power for k ≤ 0.2 h Mpc-1, well into the quasi-linear regime. This enables us to use a factor of ~8 more modes in the cosmological analysis than an analysis with kmax = 0.1 h Mpc-1,aswas adopted in the SDSS team analysis of the DR4 LRG sample. The observed halo power spectrum for 0.02 <k<0.2 h Mpc-1 is well fitted by our model: χ2 = 39.6 for 40 degrees of freedom for the best-fitting Δ cold dark matter (ΔCDM) model. We find Ωmh2(ns/0.96)1.2 = 0.141+0.010-0.012 for a power-law primordial power spectrum with spectral index ns and Ωbh2 = 0.022 65 fixed, consistent with cosmic microwave background measurements. The halo power spectrum also constrains the ratio of the comoving sound horizon at the baryon-drag epoch to an effective distance to z = 0.35: rs/DV(0.35) = 0.1097+0.0039-0.0042. Combining the halo power spectrum measurement with the Wilkinson Microwave Anisotropy Probe (WMAP) 5 year results, for the flat ΔCDM model we find Ωm = 0.289 ± 0.019 and H0 = 69.4 ± 1.6 km s-1 Mpc-1. Allowing ∑ for massive neutrinos in ΔCDM, we find σmν < 0.62 eV at the 95 per cent confidence level. If we instead consider the effective number of relativistic species Neff as a free parameter, we find Neff = 4.8+1.8-1.7. Combining also with the Kowalski et al. supernova sample, we find Ωtot = 1.011 ± 0.009 and w =-0.99 ± 0.11 for an open cosmology with constant dark energy equation of state w. The power spectrum and a module to calculate the likelihoods are publicly available at

Original languageEnglish (US)
Pages (from-to)60-85
Number of pages26
JournalMonthly Notices of the Royal Astronomical Society
Issue number1
StatePublished - May 2010

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Cosmology: observations
  • Galaxies: haloes
  • Galaxies: statistics
  • Large-scale structure of Universe


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