The Correlation Function of Optically Selected Galaxy Clusters in the Sloan Digital Sky Survey

Abstract

We measure the two-point spatial correlation function for clusters selected from the photometric MaxBCG galaxy cluster catalog for the Sloan Digital Sky Survey (SDSS). We evaluate the correlation function for several cluster samples using different cuts in cluster richness. Fitting the results to power-laws, ${\xi }_{cc}(r)=(r/R_0{)}^{-\gamma }$, the estimated correlation length $R_0$ as a function of richness is broadly consistent with previous cluster observations and with expectations from N-body simulations. We study how the linear bias parameter scales with richness and compare our results to theoretical predictions. Since these measurements extend to very large scales, we also compare them to models that include the baryon acoustic oscillation feature and that account for the smoothing effects induced by errors in the cluster photometric redshift estimates. For the largest cluster sample, corresponding to a richness threshold of $\Ng\ge 10$, we find only weak evidence, of about $1.4-1.7\sigma$ significance, for the baryonic acoustic oscillation signature in the cluster correlation function.

References in corpus (25)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Sixth Data Release of the Sloan Digital Sky Survey
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• A MaxBCG Catalog of 13,823 Galaxy Clusters from the Sloan Digital Sky Survey
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Nonlinear Evolution of Baryon Acoustic Oscillations
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• Improved forecasts for the baryon acoustic oscillations and cosmological distance scale
• The shape of the SDSS DR5 galaxy power spectrum
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• MaxBCG: A Red Sequence Galaxy Cluster Finder
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Resumming Cosmic Perturbations
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Cosmological baryonic and matter densities from 600,000 SDSS Luminous Red Galaxies with photometric redshifts
• Constraining the Scatter in the Mass-Richness Relation of maxBCG Clusters With Weak Lensing and X-ray Data
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• Cosmological Constraints from the Red-Sequence Cluster Survey
• The Mean and Scatter of the Velocity Dispersion-Optical Richness Relation for maxBCG Galaxy Clusters
• An improved model for the formation times of dark matter haloes
• Simulations of Baryon Oscillations
• Baryonic Acoustic Oscillations via the Renormalization Group
• Systematic effects in the sound horizon scale measurements
• Microwave-Sky Simulations and Projections for Galaxy Cluster Detection with the Atacama Cosmology Telescope
• The Effects of Halo Assembly Bias on Self-Calibration in Galaxy Cluster Surveys

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