Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies

Abstract

We present a simple and efficient phenomenological model for the two-dimensional two-point galaxy correlation function that works well over a wide range of scales, from large scales down to scales as small as 25Mpc/h. Our model incorporates nonlinear effects, a scale-dependent galaxy bias on small scales, and allows the redshift-space distortions to be scale and direction dependent. We validate our model using LasDamas mock catalogs, and apply it to the Sloan Digital Sky Survey (SDSS) DR7 Luminous Red Galaxies (LRGs). Using only the monopole and quadrupole of the correlation function measured from the SDSS DR7 LRGs, we obtain improved measurements H(z)r_s(z_d)/c=0.0433\pm 0.0042, D_A(z)/r_s(z_d)=6.59\pm 0.46, and f(z)sigma_8(z)=0.429\pm 0.089 at z=0.35, using the scale range of 25<s<120Mpc/h. We expect our results and model to be useful in tightening dark energy and gravity constraints from the full analysis of current and future galaxy clustering data.

9 pages, 5 figures, accepted by MNRAS, the last version matches accepted one. arXiv admin note: substantial text overlap with arXiv:1205.5573, arXiv:1102.2251

References in corpus (15)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The 2.5 m Telescope of the Sloan Digital Sky Survey
• K-corrections and filter transformations in the ultraviolet, optical, and near infrared
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring D_A and H at z=0.57 from the Baryon Acoustic Peak in the Data Release 9 Spectroscopic Galaxy Sample
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of normalized growth rate on constraining dark energy
• Cosmological baryonic and matter densities from 600,000 SDSS Luminous Red Galaxies with photometric redshifts
• Clustering of luminous red galaxies I: large scale redshift space distortions
• Modelling redshift space distortions in hierarchical cosmologies
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• The WiggleZ Dark Energy Survey: small-scale clustering of Lyman Break Galaxies at z < 1

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