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

Computer Science – Databases

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Observational Cosmology, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies, Astronomical Catalogs, Atlases, Sky Surveys, Databases, Retrieval Systems, Archives, Etc.

Scientific paper

We present estimates of cosmological parameters from the application of the Karhunen-Loève transform to the analysis of the 3D power spectrum of density fluctuations using Sloan Digital Sky Survey galaxy redshifts. We use Ω mh and fb = Ωb/Ωm to describe the shape of the power spectrum, σ8gL for the (linearly extrapolated) normalization, and β to parametrize linear theory redshift space distortions. On scales k <= 0.16hMpc-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 Ω b from WMAP, we find Ωmh = 0.207 +/- 0.030, which is in excellent agreement with WMAP and 2dF. This indicates that we have reasonably measured the gross shape of the power spectrum but we have difficulty breaking the degeneracy between Ω mh and fb because the baryon oscillations are not resolved in the current spectroscopic survey window function.

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