An improved fitting formula for the dark matter bispectrum

Abstract

In this paper we present an improved fitting formula for the dark matter bispectrum motivated by the previous phenomenological approach of Scoccimarro & Couchman (2001). We use a set of LCDM simulations to calibrate the fitting parameters in the k-range of 0.03 h/Mpc<k<0.4 h/Mpc and in the redshift range of 0<z<1.5. This new proposed fit describes well the BAO-features although it was not designed to. The deviation between the simulations output and our analytic prediction is typically less than 5% and in the worst case is never above 10%. We envision that this new analytic fitting formula will be very useful in providing reliable predictions for the non-linear dark matter bispectrum for LCDM models.

16 pages, 5 figures. Published in JCAP

References in corpus (10)

• Cosmology and the Bispectrum
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Thinking Outside the Box: Effects of Modes Larger than the Survey on Matter Power Spectrum Covariance
• The Bispectrum of f(R) Cosmologies
• Modelling large-scale halo bias using the 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
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum

Cited by in corpus (79)

• 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
• The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• The Kinematic Sunyaev-Zel'dovich Effect with Projected Fields: A Novel Probe of the Baryon Distribution with Planck, WMAP, and WISE Data
• 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
• The Kinematic Sunyaev-Zel'dovich Effect with Projected Fields II: prospects, challenges, and comparison with simulations
• Near optimal bispectrum estimators for large-scale structure
• 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
• Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum
• The Bispectrum of f(R) Cosmologies
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• CMB lensing reconstruction biases in cross-correlation with large-scale structure probes
• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• Fitting the nonlinear matter bispectrum by the Halofit approach
• Bias to CMB Lensing Reconstruction from Temperature Anisotropies due to Large-Scale Galaxy Motions
• Constraining the Baryon Abundance with the Kinematic Sunyaev-Zel'dovich Effect: Projected-Field Detection Using Planck, WMAP, and unWISE
• 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
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Enhancing BOSS bispectrum cosmological constraints with maximal compression
• 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
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• On the effect of non-Gaussian lensing deflections on CMB lensing measurements
• The one-loop matter bispectrum as a probe of gravity and dark energy
• Fast Estimation of Gravitational and Primordial Bispectra in Large Scale Structures
• Relativistic wide-angle galaxy bispectrum on the light-cone
• The Covariance of Squeezed Bispectrum Configurations
• CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
• Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS Sample
• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• Self-calibration of weak lensing systematic effects using combined two- and three-point statistics
• One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation
• Impact of next-to-leading order contributions to CMB lensing
• Projected-Field Kinetic Sunyaev-Zel'dovich Cross-Correlations: Halo Model and Forecasts
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Non-Gaussianity of the Cosmic Infrared Background anisotropies I : Diagrammatic formalism and application to the angular bispectrum
• 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
• A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation
• Three-point phase correlations: A new measure of non-linear large-scale structure
• Constraints on the dark matter and dark energy interactions from weak lensing bispectrum tomography
• The Integrated Bispectrum and Beyond
• CFHTLenS: A Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear 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
• Observed galaxy power spectrum in cubic Galileon model
• Weak lensing probe of cubic Galileon model
• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• The Integrated Bispectrum in Modified Gravity Theories
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• Post-Limber Weak Lensing Bispectrum, Reduced Shear Correction, and Magnification Bias Correction
• The $n$-point streaming model: how velocities shape correlation functions in redshift space
• GEOMAX: beyond linear compression for 3pt galaxy clustering statistics
• Consistency Relations in Effective Field Theory
• Three-point intrinsic alignments of dark matter halos in the IllustrisTNG simulation
• Revisiting Vainshtein Screening for fast N-body simulations
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Morphology of Weak Lensing Convergence Maps
• Improved Modeling of the Kinematic Sunyaev-Zel'dovich Projected-Fields signal and its Cosmological Dependence
• One-point statistics of the Lagrangian displacement field
• Skewing the CMB$\times$LSS: a Fast Method for Bispectrum Analysis
• Probing dark energy using convergence power spectrum and bi-spectrum
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• The reconstructed CMB lensing bispectrum
• Weak Lensing Trispectrum and Kurt-Spectra
• 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
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• A Novel Bispectrum Estimator of the Kinematic Sunyaev-Zel'dovich Effect using Projected Fields
• Cosmological Parameter Biases from Doppler-Shifted Weak Lensing in Stage IV Experiments
• Clustering redshifts with the 21cm-galaxy cross-bispectrum
• Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales
• Probing the large-scale structure with 21cm-galaxy cross-bispectrum: Estimates from simulations and forecasts for upcoming cosmological surveys