Mapping the real space distributions of galaxies in SDSS DR7: I. Two Point Correlation Functions

Abstract

Using a method to correct redshift space distortion (RSD) for individual galaxies, we mapped the real space distributions of galaxies in the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7). We use an ensemble of mock catalogs to demonstrate the reliability of our method. Here as the first paper in a series, we mainly focus on the two point correlation function (2PCF) of galaxies. Overall the 2PCF measured in the reconstructed real space for galaxies brighter than ${}^{0.1}{\mathrm{M}}_r-5\log h=-19.0$ agrees with the direct measurement to an accuracy better than the measurement error due to cosmic variance, if the reconstruction uses the correct cosmology. Applying the method to the SDSS DR7, we construct a real space version of the main galaxy catalog, which contains 396,068 galaxies in the North Galactic Cap with redshifts in the range $0.01\le z\le 0.12$. The Sloan Great Wall, the largest known structure in the nearby Universe, is not as dominant an over-dense structure as appears to be in redshift space. We measure the 2PCFs in reconstructed real space for galaxies of different luminosities and colors. All of them show clear deviations from single power-law forms, and reveal clear transitions from 1-halo to 2-halo terms. A comparison with the corresponding 2PCFs in redshift space nicely demonstrates how RSDs boost the clustering power on large scales (by about $40-50\%$ at scales $\sim 10h^{-1}\mathrm{Mpc}$) and suppress it on small scales (by about $70-80\%$ at a scale of $0.3h^{-1}\mathrm{Mpc}$).

19 pages, 13 figures

References in corpus (13)

• Galaxy Groups in the SDSS DR4: I. The Catalogue and Basic Properties
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• A discriminating probe of gravity at cosmological scales
• Galaxy Groups in the SDSS DR4: II. halo occupation statistics
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Assessing Colour-dependent Occupation Statistics Inferred from Galaxy Group Catalogues
• Reconstructing the cosmic density field with the distribution of dark matter halos
• Observational biases in Lagrangian reconstructions of cosmic velocity fields
• Sampling Artifact in Volume Weighted Velocity Measurement.--- I. Theoretical Modelling
• Sampling Artifact in Volume Weighted Velocity Measurement.--- II. Detection in simulations and comparison with theoretical modelling
• Determination of the large scale volume weighted halo velocity bias in simulations
• Using member galaxy luminosities as halo mass proxies of galaxy groups

Cited by in corpus (14)

• ELUCID IV: Galaxy Quenching and its Relation to Halo Mass, Environment, and Assembly Bias
• (DarkAI) Mapping the large-scale density field of dark matter using artificial intelligence
• Compact groups from semi-analytical models of galaxy formation -- I: a comparative study of frequency and nature
• A study on the Clustering Properties of Radio-Selected sources in the Lockman Hole Region at 325 MHz
• Accurate Modeling of the Projected Galaxy Clustering in Photometric Surveys: I. Tests with Mock Catalogs
• A two-phase model of galaxy formation: III. The formation of globular clusters
• DarkAI: Reconstructing the density, velocity and tidal field of dark matter from a DESI-like bright galaxy sample
• Small scale clustering of BOSS galaxies: dependence on luminosity, color, age, stellar mass, specific star formation rate and other properties
• Galaxy Cluster Mass Estimation Through The Splashback Radius
• Glass-Like Random Catalogues for Two-Point Estimates on the Light Cone
• A Conditional Abundance Matching Method of Extending Simulated Halo Merger Trees to Resolve Low-Mass Progenitors and Sub-halos
• Toward accurate measurement of property-dependent galaxy clustering: II. Tests of the smoothed density-corrected $V_{\max }$ method
• Structure of cosmic web in non-linear regime: the nearest neighbour and spherical contact distributions
• Anisotropic Counts-in-Cells in Redshift Space: A New Route to Cosmological Constraints from Galaxy Surveys