The Shape of the Sloan Digital Sky Survey Data Release 5 Galaxy Power Spectrum
Abstract
We present a Fourier analysis of the clustering of galaxies in the combined main galaxy and LRG SDSS DR5 sample. The aim of our analysis is to consider how well we can measure the cosmological matter density using the signature of the horizon at matterradiation equality embedded in the largescale power spectrum. The new data constrain the power spectrum on scales 100600 h^{1} Mpc with significantly higher precision than previous analyses of just the SDSS main galaxies, due to our larger sample and the inclusion of the LRGs. This improvement means that we can now reveal a discrepancy between the shape of the measured power and linear CDM models on scales 0.01 h Mpc^{1}<k<0.15 h Mpc^{1}, with linear model fits favoring a lower matter density (Ω_{M}=0.22+/0.04) on scales 0.01 h Mpc^{1}<k<0.06 h Mpc^{1} and a higher matter density (Ω_{M}=0.32+/0.01) when smaller scales are included, assuming a flat ΛCDM model with h=0.73 and n_{s}=0.96. This discrepancy could be explained by scaledependent bias, and by analyzing subsamples of galaxies, we find that the ratio of smallscale to largescale power increases with galaxy luminosity, so all of the SDSS galaxies cannot trace the same power spectrum shape over 0.01 h Mpc^{1}<k<0.2 h Mpc^{1}. However, the data are insufficient to clearly show a luminositydependent change in the largest scale at which a significant increase in clustering is observed, although they do not rule out such an effect. Significant scaledependent galaxy bias on large scales, which changes with the rband luminosity of the galaxies, could potentially explain differences in our Ω_{M} estimates and differences previously observed between 2dFGRS and SDSS power spectra and the resulting parameter constraints.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 2007
 DOI:
 10.1086/510615
 arXiv:
 arXiv:astroph/0608636
 Bibcode:
 2007ApJ...657..645P
 Keywords:

 Cosmology: Cosmological Parameters;
 Cosmology: LargeScale Structure of Universe;
 Astrophysics
 EPrint:
 21 pages, 19 figures, minor corrections to match version accepted by ApJ