Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space

Abstract

We present a joint likelihood analysis of the halo power spectrum and bispectrum in real space. We take advantage of a large set of numerical simulations and of an even larger set of halo mock catalogs to provide a robust estimate of the covariance properties. We derive constraints on bias and cosmological parameters assuming a theoretical model from perturbation theory at one-loop for the power spectrum and tree-level for the bispectrum. By means of the Deviance Information Criterion, we select a reference bias model dependent on seven parameters that can describe the data up to $k_{\max ,\mathrm{P}}=0.3h{\mathrm{Mpc}}^{-1}$ for the power spectrum and $k_{\max ,\mathrm{B}}=0.09h{\mathrm{Mpc}}^{-1}$ for the bispectrum at redshift $z=1$. This model is able to accurately recover three selected cosmological parameters even for the rather extreme total simulation volume of $1000h^{-3}{\mathrm{Gpc}}^3$. With the same tools, we study how relations among bias parameters can improve the fit while reducing the parameter space. In addition, we compare common approximations to the covariance matrix against the full covariance estimated from the mocks, and quantify the (non-negligible) effect of ignoring the cross-covariance between the two statistics. Finally, we explore different selection criteria for the triangular configurations to include in the analysis, showing that excluding nearly equilateral triangles rather than simply imposing a fixed maximum $k_{\max ,\mathrm{B}}$ on all triangle sides can lead to a better exploitation of the information contained in the bispectrum.

arXiv comment38 pages, 18 figures, 1 table. Added direct comparison between power spectrum and joint analysis; further minor revisions

References in corpus (91)

• Efficient Computation of CMB anisotropies in closed FRW models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Large-Scale Galaxy Bias
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The DESI Experiment, a whitepaper for Snowmass 2013
• Stochastic Nonlinear Galaxy Biasing
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• Gravity and Large-Scale Non-local Bias
• Cosmology and the Bispectrum
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• Parameter inference with estimated covariance matrices
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• PINOCCHIO: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field
• Accurate Estimators of Correlation Functions in Fourier Space
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Equivalence Principle and the Baryon Acoustic Peak
• Fast Estimators for Redshift-Space Clustering
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• Renormalized Halo Bias
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• The Bispectrum: From Theory to Observations
• Halo Stochasticity from Exclusion and non-linear Clustering
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• Infrared Resummation for Biased Tracers in Redshift Space
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• 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
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• Cosmological information in the redshift-space bispectrum
• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Non-local Lagrangian bias
• Assessment of the Information Content of the Power Spectrum and Bispectrum
• Baryon acoustic signature in the clustering of density maxima
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Comparing approximate methods for mock catalogues and covariance matrices II: Power spectrum multipoles
• Comparing approximate methods for mock catalogues and covariance matrices I: correlation function
• Galaxy Bias and Halo-Occupation Numbers from Large-Scale Clustering
• Bias Loop Corrections to the Galaxy Bispectrum
• Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters
• An analytic model for the bispectrum of galaxies in redshift space
• Constructing Regularized Cosmic Propagators
• Comparing approximate methods for mock catalogues and covariance matrices III: Bispectrum
• A Detection of the Baryon Acoustic Oscillation Features in the SDSS BOSS DR12 Galaxy Bispectrum
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies II: cosmological interpretation
• Improving fast generation of halo catalogs with higher-order Lagrangian perturbation theory
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Information Content of the Angular Multipoles of Redshift-Space Galaxy Bispectrum
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Dark matter and halo bispectrum in redshift space: theory and applications
• Precision cosmology with redshift-space bispectrum: a perturbation theory based model at one-loop order
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Stochastic Biasing and Galaxy-Mass Density Relation in the Weakly Non-linear Regime
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• Testing one-loop galaxy bias: Power spectrum
• Tree-Level Bispectrum in the Effective Field Theory of Large-Scale Structure extended to Massive Neutrinos
• The one-loop matter bispectrum as a probe of gravity and dark energy
• Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum
• Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum
• On the Bispectra of Very Massive Tracers in the Effective Field Theory of Large-Scale Structure
• Priors on Lagrangian bias parameters from galaxy formation modelling
• Multitracer technique for galaxy bispectrum - An application to constraints on non-local primordial non-Gaussianities -
• Information Content of Higher-Order Galaxy Correlation Functions
• Constraining modified theory of gravity with galaxy bispectrum
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales II: Perturbative and numerical analyses of power spectrum and bispectrum
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Primordial non-Gaussianity in the bispectra of large-scale structure
• The two and three-loop matter bispectrum in perturbation theories
• Neutrino Mass Signatures in the Galaxy Bispectrum
• Cross-bispectra Constraints on Modified Gravity Theories from Nancy Grace Roman Space Telescope and Rubin Observatory Legacy Survey of Space and Time
• Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations

Cited by in corpus (36)

• Euclid. I. Overview of the Euclid mission
• Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
• Constraints on Single-Field Inflation from the BOSS Galaxy Survey
• Precision analysis of the redshift-space galaxy bispectrum
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• Fast and Credible Likelihood-Free Cosmology with Truncated Marginal Neural Ratio Estimation
• The Covariance of Squeezed Bispectrum Configurations
• The Halo Bispectrum Multipoles in Redshift Space
• Modified gravity and massive neutrinos: constraints from the full shape analysis of BOSS galaxies and forecasts for Stage IV surveys
• Bispectrum-window convolution via Hankel transform
• The two-loop bispectrum of large-scale structure
• The Power of Locality: Primordial Non-Gaussianity at the Map Level
• Interacting dark energy from the joint analysis of the power spectrum and bispectrum multipoles with the EFTofLSS
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Primordial non-Gaussianity and non-Gaussian Covariance
• Cosmological forecasts for future galaxy surveys with the linear point standard ruler: Toward consistent BAO analyses far from a fiducial cosmology
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• Modal compression of the redshift-space galaxy bispectrum
• Integrated trispectrum detection from BOSS DR12 NGC CMASS
• Fitting covariance matrix models to simulations
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Wide-angle effects in the galaxy bispectrum
• Interacting dark energy constraints from the full-shape analyses of BOSS DR12 and DES Year 3 measurements
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• The halo 3-point correlation function: a methodological analysis
• DarkAI: Reconstructing the density, velocity and tidal field of dark matter from a DESI-like bright galaxy sample
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Relativistic second-order initial conditions for simulations of large-scale structure
• The Effective Field Theory of Large Scale Structure for Mixed Dark Matter Scenarios
• Mixing Bispectrum Multipoles Under Geometric Distortions
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• The imprints of massive neutrinos on the three-point correlation function of large-scale structures
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order
• On the range of validity of perturbative models for galaxy clustering and its uncertainty