Cosmology and the Bispectrum

Abstract

The present spatial distribution of galaxies in the Universe is non-Gaussian, with 40% skewness in 50 Mpc/h spheres, and remarkably little is known about the information encoded in it about cosmological parameters beyond the power spectrum. In this work we present an attempt to bridge this gap by studying the bispectrum, paying particular attention to a joint analysis with the power spectrum and their combination with CMB data. We address the covariance properties of the power spectrum and bispectrum including the effects of beat coupling that lead to interesting cross-correlations, and discuss how baryon acoustic oscillations break degeneracies. We show that the bispectrum has significant information on cosmological parameters well beyond its power in constraining galaxy bias, and when combined with the power spectrum is more complementary than combining power spectra of different samples of galaxies, since non-Gaussianity provides a somewhat different direction in parameter space. In the framework of flat cosmological models we show that most of the improvement of adding bispectrum information corresponds to parameters related to the amplitude and effective spectral index of perturbations, which can be improved by almost a factor of two. Moreover, we demonstrate that the expected statistical uncertainties in sigma8 of a few percent are robust to relaxing the dark energy beyond a cosmological constant.

28 pages, 14 figures. Added appendix with results updated to WMAP 3-year data. Revised version accepted for publication in Phys. Rev. D

References in corpus (30)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Simulating the joint evolution of quasars, galaxies and their large-scale distribution
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from SDSS and WMAP
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The Dark Side of the Halo Occupation Distribution
• Cosmic Growth History and Expansion History
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• Renormalized Cosmological Perturbation Theory
• On the Mass-to-Light Ratio of Large Scale Structure
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• Memory of Initial Conditions in Gravitational Clustering
• The Intermediate-Scale Clustering of Luminous Red Galaxies
• The Three-Point Correlation Function in Cosmology
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• Cosmological parameters from CMB measurements and the final 2dFGRS power spectrum
• Large scale bias and stochasticity of halos and dark matter
• The shear power spectrum from the COMBO-17 survey
• Statistical Analysis of Galaxy Surveys-II. The 3-point galaxy correlation function measured from the 2dFGRS
• The 3-point function in large scale structure: redshift distortions and galaxy bias
• Baryon oscillations
• Galaxy Bias and Halo-Occupation Numbers from Large-Scale Clustering
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• The Three-point Correlation Function of Galaxies Determined from the 2dF Galaxy Redshift Survey
• Three-point Correlation Functions of SDSS Galaxies in Redshift Space: Morphology, Color, and Luminosity Dependence
• The Three-point Correlation Function of Galaxies: Comparing Halo Occupation Models with Observations
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• The impact of halo shapes on the bispectrum in cosmology
• Cosmological Three-Point Function: Testing The Halo Model Against Simulations
• CMBfit: Rapid WMAP likelihood calculations with normal parameters

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• Cosmological Constraints from a Combination of Galaxy Clustering and Lensing -- I. Theoretical Framework
• Fast Estimators for Redshift-Space Clustering
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• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• The Impact of Non-Gaussian Errors on Weak Lensing Surveys
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• A new approach to observational cosmology using the scattering transform
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• An accurate tool for the fast generation of dark matter halo catalogs
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Dark matter clustering: a simple renormalization group approach
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
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• Probing Cosmology with Weak Lensing Minkowski Functionals
• Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
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• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Constraints on Single-Field Inflation from the BOSS Galaxy Survey
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• The large-scale 3-point correlation function of the SDSS BOSS DR12 CMASS galaxies
• Cosmological constraints from BOSS with analytic covariance matrices
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• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• Bispectral mode decomposition of nonlinear flows
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
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• The Three-Point Correlation Function of Luminous Red Galaxies in the Sloan Digital Sky Survey
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• Cross-Correlation of spectroscopic and photometric galaxy surveys: cosmology from lensing and redshift distortions
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• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum
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• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Forecasts on Primordial non-Gaussianity from 21 cm Intensity Mapping experiments
• Clustering of Luminous Red Galaxies III: Detection of the Baryon Acoustic Peak in the 3-point Correlation Function
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• Dark matter and halo bispectrum in redshift space: theory and applications
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• Galaxy power-spectrum responses and redshift-space super-sample effect
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• Structure Formation in Modified Gravity Scenarios
• Time evolution of intrinsic alignments of galaxies
• Fast generation of ensembles of cosmological N-body simulations via mode-resampling
• Modelling large-scale halo bias using the bispectrum
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• Relativistic wide-angle galaxy bispectrum on the light-cone
• Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum
• Joint likelihood function of cluster counts and $n$-point correlation functions: Improving their power through including halo sample variance
• Bispectrum Supersample Covariance
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• CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
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• Cosmology with cosmic web environments I. Real-space power spectra
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