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The 3D power spectrum of galaxies from the SDSS

2003/10/27 by M Tegmark, M Blanton, M Strauss +32 · 1 voice · 2 citations
Physics and Astronomy · #astro-ph

paper · pdf · doi:10.1086/382125

published as Astrophys.J.606:702-740,2004 · 41 ApJ pages, 40 figs. Power spectrum data, likelihood software and ppt pics available at http://www.hep.upenn.edu/~max/sdsspower.html

arxiv published 2003/10/27 · arxiv created 2003/10/29 · arxiv updated 2019/08/13

Abstract

We measure the large-scale real-space power spectrum P(k) using a sample of 205,443 galaxies from the Sloan Digital Sky Survey, covering 2417 square degrees with mean redshift z~0.1. We employ a matrix-based method using pseudo-Karhunen-Loeve eigenmodes, producing uncorrelated minimum-variance measurements in 22 k-bands of both the clustering power and its anisotropy due to redshift-space distortions, with narrow and well-behaved window functions in the range 0.02 h/Mpc < k < 0.3h/Mpc. We pay particular attention to modeling, quantifying and correcting for potential systematic errors, nonlinear redshift distortions and the artificial red-tilt caused by luminosity-dependent bias. Our final result is a measurement of the real-space matter power spectrum P(k) up to an unknown overall multiplicative bias factor. Our calculations suggest that this bias factor is independent of scale to better than a few percent for k<0.1h/Mpc, thereby making our results useful for precision measurements of cosmological parameters in conjunction with data from other experiments such as the WMAP satellite. As a simple characterization of the data, our measurements are well fit by a flat scale-invariant adiabatic cosmological model with h Omegam =0.201+/- 0.017 and L* galaxy sigma8=0.89 +/- 0.02 when fixing the baryon fraction Omegab/Omegam=0.17 and the Hubble parameter h=0.72; cosmological interpretation is given in a companion paper.

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