Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations

Abstract

We study the matter bispectrum of the large-scale structure by comparing different perturbative and phenomenological models with measurements from $N$-body simulations obtained with a modal bispectrum estimator. Using shape and amplitude correlators, we directly compare simulated data with theoretical models over the full three-dimensional domain of the bispectrum, for different redshifts and scales. We review and investigate the main perturbative methods in the literature that predict the one-loop bispectrum: standard perturbation theory, effective field theory, resummed Lagrangian and renormalised perturbation theory, calculating the latter also at two loops for some triangle configurations. We find that effective field theory (EFT) succeeds in extending the range of validity furthest into the mildly nonlinear regime, albeit at the price of free extra parameters requiring calibration on simulations. For the more phenomenological halo model, we confirm that despite its validity in the deeply nonlinear regime it has a deficit of power on intermediate scales, which worsens at higher redshifts; this issue is ameliorated, but not solved, by combined halo-perturbative models. We show from simulations that in this transition region there is a strong squeezed bispectrum component that is significantly underestimated in the halo model at earlier redshifts. We thus propose a phenomenological method for alleviating this deficit, which we develop into a simple phenomenological "three-shape" benchmark model based on the three fundamental shapes we have obtained from studying the halo model. When calibrated on the simulations, this three-shape benchmark model accurately describes the bispectrum on all scales and redshifts considered, providing a prototype bispectrum HALOFIT-like methodology that could be used to describe and test parameter dependencies.

50 pages, 23 figures, published version

References in corpus (32)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Transients from Initial Conditions in Cosmological Simulations
• The Effective Field Theory of Cosmological Large Scale Structures
• Primordial Non-Gaussianities from Inflation Models
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
• Cosmology and the Bispectrum
• The IR-resummed Effective Field Theory of Large Scale Structures
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• A critical look at cosmological perturbation theory techniques
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Dark matter clustering: a simple renormalization group approach
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects
• Large-N expansions applied to gravitational clustering
• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• An analytic model for the bispectrum of galaxies in redshift space
• Near optimal bispectrum estimators for large-scale structure
• Constraining Primordial Non-Gaussianity with High-Redshift Probes
• Nonlinear clustering in models with primordial non-Gaussianity: the halo model approach
• Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function
• Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum
• Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales II: Perturbative and numerical analyses of power spectrum and bispectrum
• Determine the galaxy bias factors on large scales using bispectrum method
• Toward Accurate Modeling of the Nonlinear Matter Bispectrum: Standard Perturbation Theory and Transients from Initial Conditions

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• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Cosmological information in the redshift-space bispectrum
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Verifying the consistency relation for the scale-dependent bias from local primordial non-Gaussianity
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Fitting the nonlinear matter bispectrum by the Halofit approach
• Responses in Large-Scale Structure
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• The Imprint of f(R) Gravity on Non-Linear Structure Formation
• The Covariance of Squeezed Bispectrum Configurations
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Information Content of Higher-Order Galaxy Correlation Functions
• Large-scale structure perturbation theory without losing stream crossing
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• Projected-Field Kinetic Sunyaev-Zel'dovich Cross-Correlations: Halo Model and Forecasts
• Precise and Accurate Cosmology with CMBxLSS Power Spectra and Bispectra
• The Power of Locality: Primordial Non-Gaussianity at the Map Level
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear dark matter density field
• The HI intensity mapping bispectrum including observational effects
• The large-scale correlations of multi-cell densities and profiles, implications for cosmic variance estimates
• The two and three-loop matter bispectrum in perturbation theories
• Modelling the matter bispectrum at small scales in modified gravity
• Modal compression of the redshift-space galaxy bispectrum
• Towards cosmological constraints from the compressed modal bispectrum: a robust comparison of real-space bispectrum estimators
• Matter bispectrum of large-scale structure with Gaussian and non-Gaussian initial conditions: Halo models, perturbation theory, and a three-shape model
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• The halo bispectrum as a sensitive probe of massive neutrinos and baryon physics
• Breaking degeneracies with the Sunyaev-Zeldovich full bispectrum
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum
• Weak lensing deflection of three-point correlation functions
• Dark Energy Survey Year 3 Results: Three-Point Shear Correlations and Mass Aperture Moments