Three-Point Correlation Functions of SDSS Galaxies in Redshift Space: Morphology, Color, and Luminosity Dependence

We present measurements of the redshift-space three-point correlation function of galaxies in the Sloan Digital Sky Survey (SDSS). For the first time, we analyze the dependence of this statistic on galaxy morphology, color, and luminosity. In order to control systematics due to selection effects, we used r-band, volume-limited samples of galaxies, constructed from magnitude-limited SDSS data (14.5 <r< 17.5), and further divided the samples into two morphological types (early and late) or two color populations (red and blue). The three-point correlation function of SDSS galaxies follows the hierarchical relation well, and the reduced three-point amplitudes in redshift-space are almost scale-independent (Qz =0 .5 ∼ 1.0). In addition, their dependence on the morphology, color, and luminosity is not statistically significant. Given the robust morphological, color, and luminosity dependences of the two-point correlation function, this implies that galaxy biasing is complex on weakly non-linear to non-linear scales. We show that a simple deterministic linear relation with the underlying mass could not explain our measurements on these scales.

[1]  Bhasker K. Moorthy,et al.  The First Data Release of the Sloan Digital Sky Survey , 2003, astro-ph/0305492.

[2]  J. Gott,et al.  Minkowski Functionals of SDSS Galaxies I : Analysis of Excursion Sets , 2003, astro-ph/0304455.

[3]  F. M. Maley,et al.  An Efficient Targeting Strategy for Multiobject Spectrograph Surveys: the Sloan Digital Sky Survey “Tiling” Algorithm , 2001, astro-ph/0105535.

[4]  M. Halpern,et al.  First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity , 2003 .

[5]  Ž. Ivezić,et al.  Astrometric Calibration of the Sloan Digital Sky Survey , 2002, astro-ph/0211375.

[6]  B. Jain,et al.  The three‐point correlation function in cosmology , 2002, astro-ph/0209167.

[7]  J. Brinkmann,et al.  Three-Dimensional Genus Statistics of Galaxies in the SDSS Early Data Release , 2002, astro-ph/0207377.

[8]  V. Narayanan,et al.  Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample , 2002, astro-ph/0206225.

[9]  D. York,et al.  Two-dimensional Topology of the Sloan Digital Sky Survey , 2002, astro-ph/0206146.

[10]  O. Lahav,et al.  The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe , 2001, astro-ph/0112161.

[11]  R. Nichol,et al.  Higher Order Moments of the Angular Distribution of Galaxies from Early Sloan Digital Sky Survey Data , 2001, astro-ph/0111058.

[12]  John E. Davis,et al.  Sloan Digital Sky Survey: Early Data Release , 2002 .

[13]  E. Gaztañaga,et al.  The three-point function in large-scale structure – I. The weakly non-linear regime in N-body simulations , 2001 .

[14]  V. Narayanan,et al.  Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample , 2001, astro-ph/0108153.

[15]  J. Gunn,et al.  A Photometricity and Extinction Monitor at the Apache Point Observatory , 2001, astro-ph/0106511.

[16]  F. Miller Maley,et al.  An Efficient Algorithm for Positioning Tiles in the Sloan Digital Sky Survey , 2001 .

[17]  M. Fukugita,et al.  Statistical Properties of Bright Galaxies in the Sloan Digital Sky Survey Photometric System , 2001, astro-ph/0105401.

[18]  S. Colombi,et al.  Two-point correlation functions on the light cone: testing theoretical predictions against N-body simulations , 2000, astro-ph/0010287.

[19]  I. Szapudi,et al.  A Comparison of Estimators for the Two-Point Correlation Function , 1999, The Astrophysical journal.

[20]  et al,et al.  The Sloan Digital Sky Survey Photometric Camera , 1998, astro-ph/9809085.

[21]  D. Schlegel,et al.  Maps of Dust Infrared Emission for Use in Estimation of Reddening and Cosmic Microwave Background Radiation Foregrounds , 1998 .

[22]  Y. Jing,et al.  The Three-Point Correlation Function of Galaxies Determined from the Las Campanas Redshift Survey , 1998, astro-ph/9802011.

[23]  D. Schlegel,et al.  Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds , 1997, astro-ph/9710327.

[24]  A. Szalay,et al.  A New Class of Estimators for the N-Point Correlations , 1997, astro-ph/9704241.

[25]  S. White,et al.  High-order correlations of peaks and haloes: a step towards understanding galaxy biasing , 1996, astro-ph/9603039.

[26]  M. Fukugita,et al.  The Sloan Digital Sky Survey Photometric System , 1996 .

[27]  T. Matsubara.  Peculiar Velocity Effect on Galaxy Correlation Functions in Nonlinear Clustering Regime , 1994 .

[28]  Yasushi Suto,et al.  Departure from Hierarchical Clustering Relations for Two-, Three-, and Four-Point Correlation Functions: Analysis of Cosmological N-Body Simulations , 1994 .

[29]  T. Matsubara,et al.  SCALE DEPENDENCE OF THREE-POINT CORRELATION FUNCTIONS : MODEL PREDICTIONS AND REDSHIFT-SPACE CONTAMINATION , 1994 .

[30]  Robert Lupton,et al.  Statistics in Theory and Practice , 2020 .

[31]  Y. Suto.  Exploring Nonlinear Gravitational Clustering Phenomena with Cosmological N-Body Simulations , 1993 .

[32]  A. Hamilton.  Toward Better Ways to Measure the Galaxy Correlation Function , 1993 .

[33]  A. Szalay,et al.  Bias and variance of angular correlation functions , 1993 .

[34]  M. Sheets,et al.  Atrionatriuretic peptide and calcium-conducting sodium channels. , 1991, Science.

[35]  N. Metcalfe,et al.  An extended galaxy redshift survey – II. Virial constraints on Ω0 , 1989 .

[36]  J. Fry,et al.  The Galaxy correlation hierarchy in perturbation theory , 1984 .

[37]  B. Peterson,et al.  A complete galaxy redshift sample – I. The peculiar velocities between galaxy pairs and the mean mass density of the Universe , 1983 .

[38]  Phillip James Edwin Peebles,et al.  Statistical analysis of catalogs of extragalactic objects. VII. Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies , 1977 .

[39]  Phillip James Edwin Peebles,et al.  Statistical analysis of catalogs of extragalactic objects. V. Three-point correlation function for the galaxy distribution in the Zwicky catalog. , 1975 .