Clustering of luminous red galaxies I: large scale redshift space distortions

Abstract

This is the first paper of a series where we study the clustering of LRG galaxies in the latest spectroscopic SDSS data release, DR6, which has 75000 LRG galaxies covering over 1 $Gp{c}^3/h^3$ at $0.15<z<0.47$. Here we focus on modeling redshift space distortions in $\xips$, the 2-point correlation in separate line-of-sight and perpendicular directions, on large scales. % and away from the line-of-sight. We use large mock simulations to study the validity of models and errors. We show that errors in the data are dominated by a shot-noise term that is 40% larger than the Poisson error commonly used. We first use the normalized quadrupole for the whole sample (mean z=0.34) to estimate $\beta =f({\Omega }_m)/b=0.34\pm 0.03$, where $f({\Omega }_m)$ is the linear velocity growth factor and $b$ is the linear bias parameter that relates galaxy to matter fluctuations on large scales. We next use the full $\xips$ plane to find ${\Omega }_{0m}=0.245\pm 0.020$ (h=0.72) and the biased amplitude $b{\sigma }_8=1.56\pm 0.09$. For standard gravity, we can combine these measurements to break degeneracies and find ${\sigma }_8=0.85\pm 0.06$, $b=1.85\pm 0.25$ and $f({\Omega }_m)=0.64\pm 0.09$. We present constraints for modified theories of gravity and find that standard gravity is consistent with data as long as $0.80<{\sigma }_8<0.92$. We also calculate the cross-correlation with WMAP5 and show how both methods to measure the growth history are complementary to constrain non-standard models of gravity. Finally, we show results for different redshift slices, including a prominent BAO peak in the monopole at different redshifts. (Abridged)

31 pages, 65 figures

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Cited by in corpus (17)

• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• Measuring the growth of matter fluctuations with third-order galaxy correlations
• Systematic Effects on Determination of the Growth Factor from Redshift-space Distortions
• Cosmological constraints from the power spectrum of eBOSS emission line galaxies
• Confronting Dark Energy Models using Galaxy Cluster Number Counts
• First Cosmological Constraints on Dark Energy from the Radial Baryon Acoustic Scale
• Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion
• Testing cosmic geometry without dynamic distortions using voids
• Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey
• Cosmology with clustering anisotropies: disentangling dynamic and geometric distortions in galaxy redshift surveys
• Optimal Weighting in Galaxy Surveys: Application to Redshift-Space Distortions
• Probing non-standard gravity with the growth index: a background independent analysis
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Forecasting the Dark Energy Measurement with Baryon Acoustic Oscillations: Prospects for the LAMOST surveys
• A new model for the full shape of the large-scale power spectrum
• Probing gravity with non-linear clustering in redshift space