Cosmological Parameters from Eigenmode Analysis of Sloan Digital Sky Survey Galaxy Redshifts

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Abstract

We present estimates of cosmological parameters from the application of the Karhunen-Loe `ve transform to the analysis of the three-dimensional power spectrum of density fluctuations using Sloan Digital Sky Survey galaxy redshifts. We use m h and f b b = m to describe the shape of the power spectrum, L 8g for the (linearly extrapolated) normalization, and to parameterize linear theory redshift-space distortions. On scales k P 0:16 h Mpc 1 , our maximum likelihood values are m h 0:264 AE 0:043, f b 0:286 AE 0:065, L 8g 0:966 AE 0:048, and 0:45 AE 0:12. When we take a prior on b from the Wilkinson Microwave Anisotropy Probe (WMAP), we find m h 0:207 AE 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 m h and f b , because the baryon oscillations are not resolved in the current spectroscopic survey window function.

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