A Fitting Formula for the Non-Linear Evolution of the Bispectrum

Abstract

We present a fitting formula for the non-linear evolution of the bispectrum in CDM models, obtained from measurements in high resolution numerical simulations. The formula interpolates between the perturbative and highly non-linear regimes, and generalizes previous results obtained for scale-free initial conditions.

7 pages, 5 figures

References in corpus (6)

• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The Bispectrum of IRAS Galaxies
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• Weak Lensing Predictions at Intermediate Scales
• The Projected Three-point Correlation Function: Theory and Observations
• What Does It Take to Stabilize Gravitational Clustering?

Cited by in corpus (122)

• Cosmological parameters from lensing power spectrum and bispectrum tomography
• The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
• Weak Lensing and Dark Energy
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• Multi-Point Propagators in Cosmological Gravitational Instability
• CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
• Effect of baryonic feedback on two- and three-point shear statistics: prospects for detection and improved modelling
• Dark matter clustering: a simple renormalization group approach
• Weak lensing power spectra for precision cosmology: Multiple-deflection, reduced shear and lensing bias corrections
• Impact of post-Born lensing on the CMB
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Weak lensing from space: first cosmological constraints from three-point shear statistics
• An improved fitting formula for the dark matter bispectrum
• Lognormal Property of Weak Lensing Fields
• Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear
• Near optimal bispectrum estimators for large-scale structure
• FASTLens (FAst STatistics for weak Lensing) : Fast method for Weak Lensing Statistics and map making
• The three-point correlation function of cosmic shear. II: Relation to the bispectrum of the projected mass density and generalized third-order aperture measures
• Reduced Shear Power Spectrum
• Dark Energy Survey Year 3 results: cosmology with moments of weak lensing mass maps -- validation on simulations
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Lensing Bias in Cosmic Shear
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Source-lens clustering effects on the skewness of the lensing convergence
• CMB lensing reconstruction biases in cross-correlation with large-scale structure probes
• Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
• Cosmology Without Window Functions: Cubic Estimators for the Galaxy Bispectrum
• The Weak Lensing Bispectrum
• Biased Dark Energy Constraints from Neglecting Reduced Shear in Weak Lensing Surveys
• Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear
• Fitting the nonlinear matter bispectrum by the Halofit approach
• Dark matter and halo bispectrum in redshift space: theory and applications
• Lensing Reconstruction in Post-Born Cosmic Microwave Background Weak Lensing
• Baryonic effects on the matter bispectrum
• Sources of contamination to weak lensing three-point statistics: constraints from N-body simulations
• Signatures of Horndeski gravity on the Dark Matter Bispectrum
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Improving the Accuracy of Cosmic Magnification Statistics
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Precision cosmology with redshift-space bispectrum: a perturbation theory based model at one-loop order
• Measuring Omega_0 with higher-order Quasar-Galaxy Correlations induced by Weak Lensing
• Cosmological constraints from the capture of non-Gaussianity in Weak Lensing data
• Patterns in the weak shear 3-point correlation function
• Relativistic wide-angle galaxy bispectrum on the light-cone
• Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
• The integrated 3-point correlation function of cosmic shear
• Fast Estimation of Gravitational and Primordial Bispectra in Large Scale Structures
• The one-loop matter bispectrum as a probe of gravity and dark energy
• The consequences of parity symmetry for higher-order statistics of cosmic shear and other polar fields
• The Covariance of Squeezed Bispectrum Configurations
• CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
• Cosmological information in Gaussianised weak lensing signals
• Combining perturbation theories with halo models for the matter bispectrum
• Precision measurement of cosmic magnification from 21 cm emitting galaxies
• Constraining modified theory of gravity with galaxy bispectrum
• Forecasts of non-Gaussian parameter spaces using Box-Cox transformations
• Effect of lensing non-Gaussianity on the CMB power spectra
• Bispectrum covariance in the flat-sky limit
• The Matter Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Expansion schemes for gravitational clustering: computing two-point and three-point functions
• Euclid: The reduced shear approximation and magnification bias for Stage IV cosmic shear experiments
• Projected-Field Kinetic Sunyaev-Zel'dovich Cross-Correlations: Halo Model and Forecasts
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Optimal Weak Lensing Skewness Measurements
• Self-Calibration Technique for 3-point Intrinsic Alignment Correlations in Weak Lensing Surveys
• Self-Calibration for 3-point Intrinsic Alignment Auto-Correlations in Weak Lensing Surveys
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Three-point phase correlations: A new measure of non-linear large-scale structure
• A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation
• The Weak Lensing Bispectrum Induced By Gravity
• Inference from the small scales of cosmic shear with current and future Dark Energy Survey data
• Angular ellipticity correlations in a composite alignment model for elliptical and spiral galaxies and inference from weak lensing
• The Integrated Bispectrum and Beyond
• CFHTLenS: A Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear statistics
• Controlling intrinsic-shear alignment in three-point weak lensing statistics
• Modelling the matter bispectrum at small scales in modified gravity
• Toward Accurate Modeling of the Nonlinear Matter Bispectrum: Standard Perturbation Theory and Transients from Initial Conditions
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• Evolution of the Cosmological Density Distribution Function: A New Analytical Model
• Modeling of weak lensing statistics. I. Power spectrum and bispectrum
• Weak lensing probe of cubic Galileon model
• Integrated trispectrum detection from BOSS DR12 NGC CMASS
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum
• Self-calibrating the gravitational shear-intrinsic ellipticity-intrinsic ellipticity (GII) cross-correlation
• The redshift and scale dependence of the cosmic shear signal from numerical simulations
• Primordial Non-Gaussianity and the Statistics of Weak Lensing and other Projected Density Fields
• 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
• Post-Limber Weak Lensing Bispectrum, Reduced Shear Correction, and Magnification Bias Correction
• A theoretical estimate of intrinsic ellipticity bispectra induced by angular momenta alignments
• The Morphology of the Thermal Sunyaev-Zel'dovich Sky
• Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability
• Cross-correlations of the Lyman-alpha forest with weak lensing convergence I: Analytical Estimates of S/N and Implications for Neutrino Mass and Dark Energy
• The $n$-point streaming model: how velocities shape correlation functions in redshift space
• Imitating intrinsic alignments: A bias to the CMB lensing-galaxy shape cross-correlation power spectrum induced by the large-scale structure bispectrum
• Cross-bispectra Constraints on Modified Gravity Theories from Nancy Grace Roman Space Telescope and Rubin Observatory Legacy Survey of Space and Time
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Three-point intrinsic alignments of dark matter halos in the IllustrisTNG simulation
• A weak lensing view on primordial non-Gaussianities
• Modeling of weak lensing statistics. II. Configuration-space statistics
• The bispectrum covariance beyond Gaussianity: A log-normal approach
• A field-level emulator for modeling baryonic effects across hydrodynamic simulations
• The reconstructed CMB lensing bispectrum
• The non-linear evolution of bispectrum from the scale-free N-body simulation
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• Third-order intrinsic alignment of SDSS BOSS LOWZ galaxies
• The effect of finite halo size on the clustering of neutral hydrogen
• Accessing the high-$\ell$ frontier under the Reduced Shear Approximation with $k$-cut Cosmic Shear
• Weak lensing corrections to tSZ-lensing cross correlation
• Constraints on primordial non-Gaussianity using multitracer technique for skew spectrum
• Fitting formulae of the reduced-shear power spectrum for weak lensing
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Cosmic shear nulling as a geometrical cosmological probe: Methodology and sensitivity to cosmological parameters and systematics
• Cosmological Parameter Biases from Doppler-Shifted Weak Lensing in Stage IV Experiments
• Dark Energy Survey Year 3 Results: Three-Point Shear Correlations and Mass Aperture Moments
• Constraining effective neutrino species with bispectrum of large scale structures
• Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales
• Free Cosmic Density Bispectrum on Small Scales
• A redshift distortion free correlation function at third order in the nonlinear regime