A Model for the Redshift-Space Galaxy 4-Point Correlation Function

Abstract

The field of cosmology is entering an epoch of unparalleled wealth of observational data thanks to galaxy surveys such as DESI, Euclid, and Roman. Therefore, it is essential to have a firm theoretical basis that allows the effective analysis of the data. With this purpose, we compute the nonlinear, gravitationally-induced connected galaxy 4-point correlation function (4PCF) at the tree level in Standard Perturbation Theory (SPT), including redshift-space distortions (RSD). We begin from the trispectrum and take its inverse Fourier transform into configuration space, exploiting the isotropic basis functions of Cahn & Slepian (2023). We ultimately reduce the configuration-space expression to low-dimensional radial integrals of the power spectrum. This model will enable the use of the BAO feature in the connected 4PCF to sharpen our constraints on the expansion history of the Universe. It will also offer an additional avenue for determining the galaxy bias parameters, and thus tighten our cosmological constraints by breaking degeneracies. Survey geometry can be corrected in the 4PCF, and many systematics are localized, which is an advantage over data analysis with the trispectrum.

103 pages, 36 figures, Accepted in JCAP

References in corpus (66)

• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The Dark Energy Survey: more than dark energy - an overview
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The Kilo-Degree Survey
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• 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 Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the Quasar Sample in configuration space between redshift 0.8 and 2.2
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• 4MOST: Project overview and information for the First Call for Proposals
• Gravity and Large-Scale Non-local Bias
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the Quasar sample between redshift 0.8 and 2.2
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• Cosmology with the SPHEREX All-Sky Spectral Survey
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the emission line galaxy sample from the anisotropic power spectrum between redshift 0.6 and 1.1
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Growth rate of structure measurement from anisotropic clustering analysis in configuration space between redshift 0.6 and 1.1 for the Emission Line Galaxy sample
• Prime Focus Spectrograph (PFS) for the Subaru Telescope: Overview, recent progress, and future perspectives
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• The Hobby-Eberly Telescope Dark Energy Experiment (HETDEX) Survey Design, Reductions, and Detections
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: On the measurement of growth rate using galaxy correlation functions
• The large-scale 3-point correlation function of the SDSS BOSS DR12 CMASS galaxies
• Cubic Halo Bias in Eulerian and Lagrangian Space
• Overview of the LAMOST survey in the first decade
• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: anisotropic clustering analysis in configuration-space
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• A Detection of the Baryon Acoustic Oscillation Features in the SDSS BOSS DR12 Galaxy Bispectrum
• The Trispectrum in the Effective Field Theory of Large Scale Structure
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Three-Point Correlation Functions of SDSS Galaxies: Constraining Galaxy-Mass Bias
• 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
• On the signature of the baryon-dark matter relative velocity in the two and three-point galaxy correlation functions
• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• Matter bispectrum in cubic Galileon cosmologies
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• Overview of the Dark Energy Spectroscopic Instrument
• Information content in the redshift-space galaxy power spectrum and bispectrum
• The matter power spectrum in redshift space using effective field theory
• Clustering in Massive Neutrino Cosmologies via Eulerian Perturbation Theory
• Information Content of Higher-Order Galaxy Correlation Functions
• Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
• Isotropic N-Point Basis Functions and Their Properties
• Analytic Gaussian Covariance Matrices for Galaxy $N$-Point Correlation Functions
• Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data
• Interacting dark energy from the joint analysis of the power spectrum and bispectrum multipoles with the EFTofLSS
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• Disentangling interacting dark energy cosmologies with the three-point correlation function
• C${}^3$-Cluster Clustering Cosmology II. First detection of the BAO peak in the three-point correlation function of galaxy clusters
• Neutrino Mass Signatures in the Galaxy Bispectrum
• Cosmological Probes of Structure Growth and Tests of Gravity
• On the galaxy 3-point correlation function in Modified Gravity
• Triple-Spherical Bessel Function Integrals with Exponential and Gaussian Damping: Towards an Analytic N-Point Correlation Function Covariance Model
• Can Baryon Acoustic Oscillations Illuminate the Parity-Violating Galaxy 4PCF?
• On a General Method for Resolving Integrals of Multiple Spherical Bessel Functions Against Power Laws into Distributions
• Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions

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