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The bispectrum of galaxies from high-redshift galaxy surveys: Primordial non-Gaussianity and non-linear galaxy bias

Journal Article · · Phys.Rev.D76:083004,2007
The greatest challenge in the interpretation of galaxy clustering data from any surveys is galaxy bias. Using a simple Fisher matrix analysis, we show that the bispectrum provides an excellent determination of linear and non-linear bias parameters of intermediate and high-z galaxies, when all measurable triangle configurations down to mildly non-linear scales, where perturbation theory is still valid, are included. The bispectrum is also a powerful probe of primordial non-Gaussianity. The planned galaxy surveys at z {approx}> 2 should yield constraints on non-Gaussian parameters, f{sub NL}{sup loc.} and f{sub NL}{sup eq.}, that are comparable to, or even better than, those from CMB experiments. We study how these constraints improve with volume, redshift range, as well as the number density of galaxies. Finally we show that a halo occupation distribution may be used to improve these constraints further by lifting degeneracies between gravity, bias, and primordial non-Gaussianity.
Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-07CH11359
OSTI ID:
918733
Report Number(s):
FERMILAB-PUB-07-107-A; arXiv eprint number arXiv:0705.0343
Journal Information:
Phys.Rev.D76:083004,2007, Journal Name: Phys.Rev.D76:083004,2007
Country of Publication:
United States
Language:
English

References (59)

Large-scale structure, the cosmic microwave background and primordial non-Gaussianity journal March 2000
Signatures of primordial non-Gaussianity in the large-scale structure of the universe journal October 2005
Testing primordial non-Gaussianity in CMB anisotropies journal February 2006
Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies journal November 2005
Skewness in large-scale structure and non-Gaussian initial conditions journal July 1994
The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications journal September 2005
Stochastic Biasing and Weakly Nonlinear Evolution of Power Spectrum journal July 2000
Running non-Gaussianities in Dirac-Born-Infeld inflation journal December 2005
Limits on f NL parameters from Wilkinson Microwave Anisotropy Probe three-year data journal March 2007
Resumming cosmic perturbations journal June 2007
The monopole moment of the three-point correlation function of the two-degree Field Galaxy Redshift Survey: Monopole of the three-point correlation function of 2dF journal August 2005
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology journal June 2007
Probing primordial non-Gaussianity with large-scale structure journal May 2004
How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering journal January 2001
Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys journal December 2003
Nonlinear Evolution of the Bispectrum of Cosmological Perturbations journal April 1998
Perturbation Theory Reloaded: Analytical Calculation of Nonlinearity in Baryonic Oscillations in the Real‐Space Matter Power Spectrum journal November 2006
New mechanism for generating density perturbations from inflation journal January 2004
On the Mass‐to‐Light Ratio of Large‐Scale Structure journal September 2005
DBI in the sky: Non-Gaussianity from inflation with a speed limit journal December 2004
Gravity, bias, and the galaxy three-point correlation function journal July 1994
Non-Gaussianity in multifield inflation journal November 2002
Primordial Non‐Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large‐Scale Structure journal December 2006
Primordial Non‐Gaussianity and Dark Energy Constraints from Cluster Surveys journal April 2007
The three-point correlation function of the cosmic microwave background in inflationary models journal July 1994
Acoustic oscillations in the SDSS DR4 luminous red galaxy sample power spectrum journal March 2006
Renormalized cosmological perturbation theory journal March 2006
Dark matter clustering: A simple renormalization group approach journal February 2007
The Bispectrum as a Signature of Gravitational Instability in Redshift Space journal June 1999
Primordial density perturbation in the curvaton scenario journal January 2003
The Bispectrum of IRAS Redshift Catalogs journal January 2001
Modeling Luminosity‐dependent Galaxy Clustering through Cosmic Time journal August 2006
Cosmological Perturbations: Entering the Nonlinear Regime journal September 1997
The shape of non-Gaussianities journal August 2004
Gravitational Clustering from \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage[OT2,OT1]{fontenc} \newcommand\cyr{ \renewcommand\rmdefault{wncyr} \renewcommand\sfdefault{wncyss} \renewcommand\encodingdefault{OT2} \normalfont \selectfont} \DeclareTextFontCommand{\textcyr}{\cyr} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \landscape $\chi ^{2}$ \end{document} Initial Conditions journal October 2000
21-cm Background Anisotropies Can Discern Primordial Non-Gaussianity journal December 2006
Cosmology and the bispectrum journal July 2006
Clustering of dark matter tracers: Renormalizing the bias parameters journal November 2006
Large-scale bias and the peak background split journal September 1999
Cosmology with high-redshift galaxy survey: Neutrino mass and inflation journal April 2006
Erratum: Clustering of dark matter tracers: Renormalizing the bias parameters [Phys. Rev. D 74 , 103512 (2006)] journal December 2006
Large-scale structure of the Universe and cosmological perturbation theory journal September 2002
Memory of initial conditions in gravitational clustering journal March 2006
Skewness as a probe of non-Gaussian initial conditions journal June 2000
The 2dF Galaxy Redshift Survey: the bias of galaxies and the density of the Universe journal September 2002
Biasing and hierarchical statistics in large-scale structure journal August 1993
Cosmological perturbations from inhomogeneous reheating, freeze-out, and mass domination journal April 2004
Acoustic signatures in the primary microwave background bispectrum journal February 2001
Measuring the Matter Density Using Baryon Oscillations in the SDSS journal March 2007
Measurement of the Cosmic Microwave Background Bispectrum on the COBE DMR Sky Maps journal February 2002
The non-linear redshift-space power spectrum of galaxies journal December 1998
On non-Gaussianities in single-field inflation journal October 2003
Primordial bispectrum information from CMB polarization journal October 2004
Large non-Gaussianities in single-field inflation journal June 2007
Galaxy bias and halo-occupation numbers from large-scale clustering journal March 2005
The three-point correlation function of luminous red galaxies in the Sloan Digital Sky Survey journal June 2007
Redshift-space distortions, pairwise velocities, and nonlinearities journal October 2004
First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Tests of Gaussianity journal September 2003
Scale dependence of halo and galaxy bias: Effects in real space journal March 2007

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