Precision Measurements of Higher-Order Angular Galaxy Correlations Using 11 Million SDSS Galaxies

Abstract

We present estimates of the N-point galaxy area-averaged angular correlation functions wN for N = 2,...,7 from the third data release of the Sloan Digital Sky Survey (SDSS). The sample was selected from galaxies with 18 < r < 21, and is the largest ever used to study higher-order correlations. The measured wN are used to calculate the projected, sN, and real space, SN, hierarchical amplitudes. This produces highly-precise measurements over 0.2 to 10 h-1 Mpc, which are consistent with Gaussian primordial density fluctuations. The measurements suggest that higher-order galaxy bias is non-negligible, as defining b1 = 1 yields c2 = -0.24 +/- 0.08. We report the first SDSS measurement of marginally significant third-order bias, c3 = 0.98 +/- 0.89, which suggests that bias terms may be significant to even higher order. Previous measurements of c2 have yielded inconsistent results. Inconsistencies would be expected if different data sets sample different galaxy types, especially if different galaxy types exhibit different higher-order bias. We find early-type galaxies exhibit significantly different behavior than late-types at both small and large scales. At large scales (r > 1 h-1 Mpc), we find the SN for late-type galaxies are lower than for early-types, implying a significant difference between their higher-order bias. We find b1,early = 1.36 +/- 0.04, c2,early = 0.30 +/- 0.10, b1,late = 0.81 +/- 0.03, and c2,late = -0.70 +/- 0.08. Our results are robust against the systematic effects of reddening and seeing. The latter introduces minor structure in wN.

Accepted by the Astrophyscial Journal, preprint, 40 pages, 13 figures

References in corpus (28)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Color Separation of Galaxy Types in the Sloan Digital Sky Survey Imaging Data
• The First Data Release of the Sloan Digital Sky Survey
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• The Luminosity and Color Dependence of the Galaxy Correlation Function
• The Third Data Release of the Sloan Digital Sky Survey
• Galaxy Clustering in Early SDSS Redshift Data
• The 2dF Galaxy Redshift Survey: The dependence of galaxy clustering on luminosity and spectral type
• The Morphology-Density Relation in the Sloan Digital Sky Survey
• Analysis of Systematic Effects and Statistical Uncertainties in Angular Clustering of Galaxies from Early SDSS Data
• The 2dF Galaxy Redshift Survey: galaxy clustering per spectral type
• Photometric Properties of Void Galaxies in the Sloan Digital Sky Survey
• First Measurement of the Clustering Evolution of Photometrically-Classified Quasars
• SDSS galaxy bias from halo mass-bias relation and its cosmological implications
• The Angular Correlation Function of Galaxies from Early SDSS Data
• Statistical Analysis of Galaxy Surveys-II. The 3-point galaxy correlation function measured from the 2dFGRS
• The Effect of Large-Scale Structure on the SDSS Galaxy Three-Point Correlation Function
• The Angular Power Spectrum of Galaxies from Early SDSS Data
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• On Statistical Lensing and the Anti-Correlation Between 2dF QSOs and Foreground Galaxies
• The 2dF QSO Redshift Survey - X. Lensing of Background QSOs by Galaxy Groups
• Higher Order Moments of the Angular Distribution of Galaxies from Early SDSS Data
• Fourier Phase Analysis of SDSS Galaxies
• The 2MASS galaxy angular power spectrum: Probing the galaxy distribution to Gigaparsec scales

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• Halo-model Analysis of the Clustering of Photometrically Selected Galaxies from SDSS
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• Disentangling interacting dark energy cosmologies with the three-point correlation function
• Evolution of hierarchical clustering in the CFHTLS-Wide since z~1
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Exploring the dependence of the three-point correlation function on stellar mass and luminosity at 0.5<z<1.1
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• Measuring Linear and Non-linear Galaxy Bias Using Counts-in-Cells in the Dark Energy Survey Science Verification Data
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• Void Statistics and Hierarchical Scaling in the Halo Model
• The $n$-point streaming model: how velocities shape correlation functions in redshift space
• Cell Count Moments in the Halo Model
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• The SDSS DR7 Galaxy Angular Power Spectrum: Volume-Limits and Galaxy Morphology
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