The Three-Point Correlation Function in Cosmology

Abstract

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo properties that cannot be extracted from the two-point correlation function. We use the halo clustering model to analytically calculate the three-point correlation function (3PCF) for general cosmological fields. We present detailed results for the configuration dependence of the 3-dimensional mass and galaxy distributions and the 2-dimensional cosmic shear field. We work in real space, where higher order correlation functions on small scales are easier to measure and interpret, but halo model calculations get rapidly intractable. Hence we develop techniques for accurate evaluations of the 1, 2 and 3-halo contributions to the 3PCF. The 3PCF violates the hierarchical ansatz in both its scale and configuration dependence. We study the behavior of the coefficient Q in the hierarchical expansion from large, quasilinear scales down to about 20 kpc. We find that the nonlinear 3PCF is sensitive to the halo profile of massive halos, especially its inner slope. We model the distribution of galaxies in halos and show that the 3PCF of red galaxies has a weaker configuration and scale dependence than the mass, while for blue galaxies it is very sensitive to the parameters of the galaxy formation model. The 3PCF from weak lensing on the other hand shows different scalings due to projection effects and a sensitivity to cosmological parameters.

30 pages, 23 figures, matches final version (minor changes) to appear in MNRAS

References in corpus (4)

• Halo Models of Large Scale Structure
• Intrinsic correlation of halo ellipticity and its implications for large-scale weak lensing surveys
• The Three-Point Correlation Function for Spin-2 Fields
• Second Moment of Halo Occupation Number

Cited by in corpus (156)

• The Luminosity and Color Dependence of the Galaxy Correlation Function
• Large-Scale Galaxy Bias
• Cosmology with cosmic shear observations: a review
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• On Departures From a Power Law in the Galaxy Correlation Function
• Cosmology from the Chinese Space Station Optical Survey (CSS-OS)
• Cosmology with Weak Lensing Surveys
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Towards a Concordant Model of Halo Occupation Statistics
• The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
• Cosmology and the Bispectrum
• LoCuSS: Subaru Weak Lensing Study of 30 Galaxy Clusters
• Cosmological Constraints from a Combination of Galaxy Clustering and Lensing -- I. Theoretical Framework
• Cosmology with the shear-peak statistics
• Simulations of Wide-Field Weak Lensing Surveys I: Basic Statistics and Non-Gaussian Effects
• The Impact of Non-Gaussian Errors on Weak Lensing Surveys
• Analytic models of plausible gravitational lens potentials
• Combining cluster observables and stacked weak lensing to probe dark energy: Self-calibration of systematic uncertainties
• Searching for massive clusters in weak lensing surveys
• Detailed cluster lensing profiles at large radii and the impact on cluster weak lensing studies
• Three-Point Correlations in Weak Lensing Surveys: Model Predictions and Applications
• Combining Lens Distortion and Depletion to Map the Mass Distribution of A1689
• Effect of baryonic feedback on two- and three-point shear statistics: prospects for detection and improved modelling
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Information content of weak lensing power spectrum and bispectrum: including the non-Gaussian error covariance matrix
• Probing dark energy with cluster counts and cosmic shear power spectra: including the full covariance
• Cosmology and the Halo Occupation Distribution from Small-Scale Galaxy Clustering in the Sloan Digital Sky Survey
• Cosmological Information in Weak Lensing Peaks
• A deep learning approach to cosmological dark energy models
• Mock weak lensing analysis of simulated galaxy clusters: bias and scatter in mass and concentration
• The Effect of Large-Scale Structure on the SDSS Galaxy Three-Point Correlation Function
• Subaru Weak-Lensing Survey of Dark Matter Subhalos in the Coma Cluster : Subhalo Mass Function and Statistical Properties
• Properties of host haloes of Lyman-break galaxies and Lyman-alpha Emitters from their number densities and angular clustering
• Frontier Fields: Subaru Weak-Lensing Analysis of the Merging Galaxy Cluster A2744
• Cosmological constraints from noisy convergence maps through deep learning
• Galaxy Bias and Halo-Occupation Numbers from Large-Scale Clustering
• An analytic model for the bispectrum of galaxies in redshift space
• Dark Energy Survey Year 3 results: cosmological constraints from the analysis of cosmic shear in harmonic space
• Three-point Correlation Functions of SDSS Galaxies in Redshift Space: Morphology, Color, and Luminosity Dependence
• The Three-point Correlation Function of Galaxies Determined from the 2dF Galaxy Redshift Survey
• The Mass Structure of the Galaxy Cluster Cl0024+1654 from a Full Lensing Analysis of Joint Subaru and ACS/NIC3 Observations
• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Where are the Luminous Red Galaxies (LRGs)? Using correlation measurements and lensing to relate LRGs to dark matter halos
• Cosmology with the Large Synoptic Survey Telescope: an Overview
• The halo model for cosmology: a pedagogical review
• Searching for galaxy clusters using the aperture mass statistics in 50 VLT fields
• Three-Point Correlation Functions of SDSS Galaxies: Constraining Galaxy-Mass Bias
• The Three-point Correlation Function of Galaxies: Comparing Halo Occupation Models with Observations
• Weak lensing study of dark matter filaments and application to the binary cluster A 222 and A 223
• Optimal capture of non-Gaussianity in weak lensing surveys: power spectrum, bispectrum and halo counts
• The Weak Lensing Masses of Filaments between Luminous Red Galaxies
• Cosmic variance of the galaxy cluster weak lensing signal
• Modeling the three-point correlation function
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• Joint analysis of cluster number counts and weak lensing power spectrum to correct for the super-sample covariance
• Nonlinear clustering in models with primordial non-Gaussianity: the halo model approach
• Weak Lensing Mass Measurements of Substructures in COMA Cluster with Subaru/Suprime-Cam
• Measuring our universe from galaxy redshift surveys
• Testing (modified) gravity with 3D and tomographic cosmic shear
• Substructure and the halo model of large-scale structure
• Cosmological constraints with weak lensing peak counts and second-order statistics in a large-field survey
• Three-Point Statistics from a New Perspective
• Quasar-Galaxy and Galaxy-Galaxy Cross-Correlations: Model Predictions with Realistic Galaxies
• ENCORE: An $\mathcal{O}(N_{\mathrm{g}}^2)$ Estimator for Galaxy $N$-Point Correlation Functions
• Lensing Magnification: Implications for Counts of Submillimeter Galaxies and SZ Clusters
• Constraining warm dark matter with cosmic shear power spectra
• The Covariance of Squeezed Bispectrum Configurations
• Using galaxy-galaxy weak lensing measurements to correct the Finger-of-God
• Strong orientation dependence of surface mass density profiles of dark haloes at large scales
• Combining perturbation theories with halo models for the matter bispectrum
• The impact of halo shapes on the bispectrum in cosmology
• Constraining Cosmology with High Convergence Regions in Weak Lensing Surveys
• A Robust Measure of Cosmic Structure beyond the Power-Spectrum: Cosmic Filaments and the Temperature of Dark Matter
• The impact of large-scale tides on cosmological distortions via redshift-space power spectrum
• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• Estimating Covariance Matrices for Two- and Three-Point Correlation Function Moments in Arbitrary Survey Geometries
• Weak lensing in the second post-Newtonian approximation: Gravitomagnetic potentials and the integrated Sachs-Wolfe effect
• Cosmological Three-Point Function: Testing The Halo Model Against Simulations
• Impacts of the physical data model on the forward inference of initial conditions from biased tracers
• Do dark matter halos explain lensing peaks?
• A new model to predict weak-lensing peak counts III. Filtering technique comparisons
• Subaru Weak Lensing survey -- II: Multi-object Spectroscopy and Cluster Masses
• CFHTLenS: Higher-order galaxy-mass correlations probed by galaxy-galaxy-galaxy lensing
• The mass-concentration relationship of virialized halos and its impact on cosmological observables
• 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
• A fitting formula for the non-Gaussian contribution to the lensing power spectrum covariance
• First detection of galaxy-galaxy-galaxy lensing in RCS. A new tool for studying the matter environment of galaxy pairs
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Cosmological information content in redshift-space power spectrum of SDSS-like galaxies in the quasi-nonlinear regime up to $k=0.3h$Mpc${}^{-1}$
• Masses of high-z galaxy hosting haloes from angular clustering and their evolution in the CDM model
• ASKI: full-sky lensing map making algorithms
• Halo model prediction of the cosmic magnification statistics: the full non-linear contribution
• Three-point phase correlations: A new measure of non-linear large-scale structure
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• Effects of halo substructure on the power spectrum and bispectrum
• First Identification of a CMB Lensing Signal Produced by $1.5$ Million Galaxies at $z\sim$4: Constraints on Matter Density Fluctuations at High Redshift
• The Subaru HSC Galaxy Clustering with Photometric Redshift I: Dark Halo Masses Versus Baryonic Properties of Galaxies at 0.3<z<1.4
• The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
• Projected Three-Point Correlation Functions and Galaxy Bias
• AMICO galaxy clusters in KiDS-DR3: Measurement of the halo bias and power spectrum normalization from a stacked weak lensing analysis
• C${}^3$-Cluster Clustering Cosmology II. First detection of the BAO peak in the three-point correlation function of galaxy clusters
• A determination of dark matter bispectrum with a large set of N-body simulations
• Determine the galaxy bias factors on large scales using bispectrum method
• Validation of semi-analytical, semi-empirical covariance matrices for two-point correlation function for Early DESI data
• Towards a full $w$CDM map-based analysis for weak lensing surveys
• UV Background Fluctuations and Three-Point Correlations in the Large Scale Clustering of the Lyman-alpha Forest
• Halo-model analysis of the clustering of photometric luminous red galaxies at $0.10\le z\le 1.05$ from the Subaru Hyper Suprime-Cam Survey
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum
• The cross-correlation between 3d cosmic shear and the integrated Sachs-Wolfe effect
• Self-calibrating the gravitational shear-intrinsic ellipticity-intrinsic ellipticity (GII) cross-correlation
• The Hateful Eight: Connecting Massive Substructures in Galaxy Clusters like Abell 2744 to their Dynamical Assembly State using the Magneticum Simulations
• A roadmap to cosmological parameter analysis with third-order shear statistics III: Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data
• The Correspondence between Convergence Peaks from Weak Lensing and Massive Dark Matter Haloes
• Halo asphericity and the shear 3-pt function
• Modelling the next-to-leading order matter three-point correlation function using FFTLog
• Probing high order dependencies with information theory
• Quantifying systematics from the shear inversion on weak-lensing peak counts
• A theoretical estimate of intrinsic ellipticity bispectra induced by angular momenta alignments
• 2D k-th nearest neighbor statistics: a highly informative probe of galaxy clustering
• Conditional Cumulants in Weakly Non-linear Regime
• Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability
• Study of errors in strong gravitational lensing
• An analytic halo approach to the bispectrum of galaxies in redshift space
• Cosmological Constraints from Weak Lensing Peaks: Can Halo Models Accurately Predict Peak Counts?
• The cosmic shear three-point functions
• A weak lensing view on primordial non-Gaussianities
• On the Fast Random Sampling and Other Properties of the Three Point Correlation Function in Galaxy Surveys
• Cross-correlating Sunyaev-Zel'dovich and Weak Lensing Maps
• Generalized statistical models of voids and hierarchical structure in cosmology
• How well do third-order aperture mass statistics separate E- and B-modes?
• Cosmology with Weak Lensing Surveys
• A tomographic spherical mass map emulator of the KiDS-1000 survey using conditional generative adversarial networks
• The non-linear evolution of bispectrum from the scale-free N-body simulation
• Measuring the Galaxy-Galaxy-Mass Three-point Correlation Function with Weak Gravitational Lensing
• Cosmic shear statistics in cosmologies with non-Gaussian initial conditions
• Third-order intrinsic alignment of SDSS BOSS LOWZ galaxies
• Bayesian deep learning for cosmic volumes with modified gravity
• Cluster profiles from beyond-the-QE CMB lensing mass maps
• Reconstructing the Thermal Sunyaev-Zel'dovich Effect in 3D
• A Pair of Early- and Late-Forming Galaxy Cluster Samples: a Novel Way of Studying Halo Assembly Bias Assisted by a Constrained Simulation
• Euclid preparation: Determining the weak lensing mass accuracy and precision for galaxy clusters
• An Accurate P${}^3$M Algorithm for Gravitational Lensing Studies in Simulations
• Bayesian deep learning for dark energy
• Accurate dark matter halo elongation from weak-lensing stacking analysis
• Accuracy of the thin-lens approximation in strong lensing by smoothly truncated dark matter haloes
• Galaxy and halo angular clustering in LCDM and Modified Gravity cosmologies
• Three-Dimensional Reconstruction of Weak Lensing Mass Maps with a Sparsity Prior. I. Cluster Detection
• Effect of lensing magnification on type Ia supernova cosmology
• Weak lensing constraints on the stellar-to-halo mass relation of galaxy groups with simulation-informed scatter
• High Order Correction Terms for The Peak-Peak Correlation Function in Nearly-Gaussian Models
• Introduction to Higher Order Spatial Statistics in Cosmology
• A redshift distortion free correlation function at third order in the nonlinear regime
• Interpretability of deep-learning methods applied to large-scale structure surveys
• Effect of dust in circumgalactic haloes on the cosmic shear power spectrum
• Dark Energy Survey Year 3 results: Cosmology with peaks using an emulator approach