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On departures from a power law in the galaxy correlation function

Journal Article · · Astrophys.J.
DOI:https://doi.org/10.1086/386535· OSTI ID:1847418
We measure the projected correlation function w_p(r_p) from the Sloan Digital Sky Survey for a flux-limited sample of 118,000 galaxies and for a volume limited subset of 22,000 galaxies with absolute magnitude M_r<-21. Both correlation functions show subtle but systematic departures from the best-fit power law, in particular a change in slope at r_p~1-2 Mpc/h. These departures are stronger for the volume-limited sample, which is restricted to relatively luminous galaxies. We show that the inflection point in w_p(r_p) can be naturally explained by contemporary models of galaxy clustering, according to which it marks the transition from a large scale regime dominated by galaxy pairs in separate dark matter halos to a small scale regime dominated by galaxy pairs in the same dark matter halo. For example, given the dark halo population predicted by an inflationary cold dark matter scenario, the projected correlation function of the volume-limited sample can be well reproduced by a model in which the mean number of M_r<-21 galaxies in a halo of mass M>M_1=4.74 X 10^{13}\msun/h is _M=(M/M_1)^{0.89}, with 75% of the galaxies residing in less massive, single-galaxy halos. This physically motivated model has the same number of free parameters as a power law, and it fits the w_p(r_p) data better, with a \chi^2/d.o.f.=0.93 compared to 6.12 (for 10 degrees of freedom, incorporating the covariance of the correlation function errors). Departures from a power-law correlation function encode information about the relation between galaxies and dark matter halos. Higher precision measurements of these departures for multiple classes of galaxies will constrain galaxy bias and provide new tests of the theory of galaxy formation.
Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
SDSS
DOE Contract Number:
AC02-07CH11359
OSTI ID:
1847418
Report Number(s):
FERMILAB-PUB-03-023-A; arXiv:astro-ph/0301280; oai:inspirehep.net:611629
Journal Information:
Astrophys.J., Journal Name: Astrophys.J. Vol. 608
Country of Publication:
United States
Language:
English

References (75)

Reconstructing the linear power spectrum of cosmological mass fluctuations journal April 1994
A survey of galaxy redshifts. V - The two-point position and velocity correlations journal April 1983
Sloan Digital Sky Survey: Early Data Release journal January 2002
Galaxy formation and large-scale bias journal April 1997
Analytic model for galaxy and dark matter clustering journal October 2000
The Galaxy Luminosity Function and Luminosity Density at Redshift z = 0.1 journal August 2003
The Halo Occupation Distribution: Toward an Empirical Determination of the Relation between Galaxies and Mass journal August 2002
The real-space power spectrum of the PSC z survey from 0.01 to 300  h  Mpc −1 journal March 2002
Non-linear stochastic galaxy biasing in cosmological simulations journal January 2001
An analytic expression for the luminosity function for galaxies. journal January 1976
An analytic model for the spatial clustering of dark matter haloes journal September 1996
The halo distribution of 2dF galaxies journal November 2003
Profiles of dark haloes: evolution, scatter and environment journal March 2001
Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample journal September 2002
Astrometric Calibration of the Sloan Digital Sky Survey journal March 2003
On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe journal May 1977
Estimating Fixed-Frame Galaxy Magnitudes in the Sloan Digital Sky Survey journal May 2003
The Structure of Cold Dark Matter Halos journal May 1996
Evolution of Structure in Cold Dark Matter Universes journal May 1998
Clustering in the 1.2-Jy IRAS Galaxy Redshift Survey - I. The redshift and real space correlation functions* journal January 1994
On the distribution of haloes, galaxies and mass journal July 2002
How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering journal January 2001
Pairwise Velocities of Galaxies in the CfA and SSRS2 Redshift Surveys journal August 1995
Spatial Correlation Function and Pairwise Velocity Dispersion of Galaxies: Cold Dark Matter Models versus the Las Campanas Survey journal February 1998
Nonlinear Stochastic Biasing of Galaxies and Dark Halos in Cosmological Hydrodynamic Simulations journal September 2001
The shape of the two-point correlation function - Evidence for a double power law journal October 1992
The Three‐Dimensional Power Spectrum of Galaxies from the Sloan Digital Sky Survey journal May 2004
Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation journal February 1974
A Simulation of Galaxy Formation and Clustering journal August 1999
Testing Ansatze for quasi-non-linear clustering: the linear APM power spectrum journal June 1996
Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions journal November 2000
The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe journal November 2003
Bias and variance of angular correlation functions journal July 1993
The forest of merger history trees associated with the formation of dark matter haloes journal May 1999
COBE background radiation anisotropies and large-scale structure in the Universe journal September 1992
A Photometricity and Extinction Monitor at the Apache Point Observatory journal October 2001
Linking early- and late-type galaxies to their dark matter haloes journal April 2003
The nature of galaxy bias and clustering journal February 2000
The evolution of galaxy clustering journal February 1997
Constraining galaxy formation and cosmology with the conditional luminosity function of galaxies journal March 2003
A Merged Catalog of Clusters of Galaxies from Early Sloan Digital Sky Survey Data journal October 2003
Scale-invariant clustering in the large-scale distribution of galaxies journal November 1991
The Sloan Digital Sky Survey Photometric System journal April 1996
The three-point correlation function in cosmology journal April 2003
The faint end of the galaxy luminosity function journal September 2002
The Halo Model and Numerical Simulations journal April 2001
The 2dF Galaxy Redshift Survey: luminosity dependence of galaxy clustering journal November 2001
The Angular Correlation Function of Galaxies from Early Sloan Digital Sky Survey Data journal November 2002
The Halo Occupation Distribution and the Physics of Galaxy Formation journal August 2003
Gravity’s Smoking Gun? journal September 2001
An extension of the galaxy covariance function to small scales journal September 1979
Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample journal November 2001
The power spectrum of galaxy clustering in the APM Survey journal August 2003
Large‐Scale Structures in the Early Sloan Digital Sky Survey: Comparison of the North and South Galactic Strips journal November 2002
PTHALOS: a fast method for generating mock galaxy distributions journal January 2002
Stable clustering, the halo model and non-linear cosmological power spectra journal June 2003
Galaxy Clustering in Early Sloan Digital Sky Survey Redshift Data journal May 2002
Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes journal May 2001
The Sloan Digital Sky Survey Photometric Camera journal December 1998
The 2dF Galaxy Redshift Survey: the power spectrum and the matter content of the Universe journal November 2001
Statistical analysis of catalogs of extragalactic objects. VII - Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies journal October 1977
The Sloan Digital Sky Survey: Technical Summary journal September 2000
Physical Bias of Galaxies from Large‐Scale Hydrodynamic Simulations journal July 2000
Spatial Correlation Functions and the Pairwise Peculiar Velocity Dispersion of Galaxies in the Point Source Catalog Redshift Survey: Implications for the Galaxy Biasing in Cold Dark Matter Models journal January 2002
Galaxy Clustering and Galaxy Bias in a ΛCDM Universe journal January 2004
An Efficient Targeting Strategy for Multiobject Spectrograph Surveys: the Sloan Digital Sky Survey “Tiling” Algorithm journal April 2003
The spatial correlation function of galaxies confronted with theoretical scenarios journal August 1984
The real-space correlation function measured from the APM Galaxy Survey journal May 1996
Galaxy correlations on large scales journal February 1990
The mass function of dark matter haloes journal February 2001
The evolution of large-scale structure in a universe dominated by cold dark matter journal May 1985
The [CLC][ITAL]u[/ITAL][/CLC][arcmin]′[CLC][ITAL]g[/ITAL][/CLC][arcmin]′[CLC][ITAL]r[/ITAL][/CLC][arcmin]′[CLC][ITAL]i[/ITAL][/CLC][arcmin]′[CLC][ITAL]z[/ITAL][/CLC][arcmin]′ Standard-Star System journal April 2002
Evolution of Bias in Different Cosmological Models journal September 1999
Clustering of galaxies in a hierarchical universe -- I. Methods and results at z = 0 journal February 1999
Halo occupation numbers and galaxy bias journal November 2000

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