Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues

Abstract

We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform such an analysis with MultiDark Patchy mock catalogues to demonstrate and understand the benefit of the anisotropic 3PCF. We focus on scales above $80h^{-1}\mathrm{Mpc}$, and use information from the shape and the baryon acoustic oscillation (BAO) signals of the 2PCF and 3PCF. We also apply density field reconstruction to increase the signal-noise ratio of BAO in the 2PCF measurement, but not in the 3PCF measurement. In particular, we study in detail the constraints on the angular diameter distance and the Hubble parameter. We build a model of the bispectrum or 3PCF that includes the nonlinear damping of the BAO signal in redshift space. We carefully account for various uncertainties in our analysis including theoretical models of the 3PCF, window function corrections, biases in estimated parameters from the fiducial values, the number of mock realizations to estimate the covariance matrix, and bin size. The joint analysis of the 2PCF and 3PCF monopole and quadrupole components shows a $30\%$ a nd $20\%$ improvement in Hubble parameter constraints before and after reconstruction of the 2PCF measurements, respectively, compared to the 2PCF analysis alone. This study clearly shows that the anisotropic 3PCF increases cosmological information from galaxy surveys and encourages further development of the modeling of the 3PCF on smaller scales than we consider.

arXiv comment36 pages, 18 figures

References in corpus (114)

• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Baryonic Features in the Matter Transfer Function
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• Euclid Definition Study Report
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• Large-Scale Galaxy Bias
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Spectral Classification and Redshift Measurement for the SDSS-III Baryon Oscillation Spectroscopic Survey
• Renormalized Cosmological Perturbation Theory
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The DESI Experiment, a whitepaper for Snowmass 2013
• 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 clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• 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 power spectrum between redshifts 0.6 and 1.0
• Uncorrelated Modes of the Nonlinear Power Spectrum
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Analysis of potential systematics
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
• Correcting for the alias effect when measuring the power spectrum using FFT
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• Parameter inference with estimated covariance matrices
• The WiggleZ Dark Energy Survey: testing the cosmological model with baryon acoustic oscillations at z=0.6
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Fast Estimators for Redshift-Space Clustering
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• Loop Corrections in Non-Linear Cosmological Perturbation Theory
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• Measuring Statistical isotropy of the CMB anisotropy
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• Multi-Point Propagators in Cosmological Gravitational Instability
• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• Non-linear structure formation and the acoustic scale
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• Nonlinear Cosmological Power Spectra in Real and Redshift--Space
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - II: Fitting Techniques
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• High-precision predictions for the acoustic scale in the non-linear regime
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: galaxy clustering measurements in the low redshift sample of Data Release 11
• Constraining Anisotropic Baryon Oscillations
• Acoustic scale from the angular power spectra of SDSS-III DR8 photometric luminous galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: On the measurement of growth rate using galaxy correlation functions
• Self-Similar Evolution of Cosmological Density Fluctuations
• Computing the Three-Point Correlation Function of Galaxies in $\mathcal{O}(N^2)$ Time
• Reconstruction within the Zeldovich approximation
• An optimal FFT-based anisotropic power spectrum estimator
• The Horizon Run N-body Simulation: Baryon Acoustic Oscillations and Topology of Large Scale Structure of the Universe
• Eulerian BAO Reconstructions and N-Point Statistics
• Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Estimating Cosmological Parameter Covariance
• Modeling the reconstructed BAO in Fourier space
• Arguments against using $h^{-1}\mathrm{Mpc}$ units in observational cosmology
• Constructing Regularized Cosmic Propagators
• A Detection of the Baryon Acoustic Oscillation Features in the SDSS BOSS DR12 Galaxy Bispectrum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in Fourier space
• On the non-linear scale of cosmological perturbation theory
• Accelerating the 2-point and 3-point galaxy correlation functions using Fourier transforms
• Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Efficient Reconstruction of Linear Baryon Acoustic Oscillations in Galaxy Surveys
• Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion
• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• A Practical Computational Method for the Anisotropic Redshift-Space 3-Point Correlation Function
• Three-Point Statistics from a New Perspective
• Diagrammatic Methods in Statistics and Biasing in the Large-scale Structure of the Universe
• Relativistic wide-angle galaxy bispectrum on the light-cone
• The dipole of the galaxy bispectrum
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: Measuring the anisotropic Baryon Acoustic Oscillations with redshift weights
• Measuring the distance-redshift relation with the baryon acoustic oscillations of galaxy clusters
• Detecting the relativistic galaxy bispectrum
• Limits on statistical anisotropy from BOSS DR12 galaxies using bipolar spherical harmonics
• Estimating Covariance Matrices for Two- and Three-Point Correlation Function Moments in Arbitrary Survey Geometries
• Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
• How does non-linear dynamics affect the baryon acoustic oscillation?
• Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues
• Constraining Primordial Non-Gaussianity with Post-reconstructed Galaxy Bispectrum in Redshift Space
• Tau flavored dark matter and its impact on tau Yukawa coupling
• Multipoles of the relativistic galaxy bispectrum
• Relation between standard perturbation theory and regularized multi-point propagator method
• Using Lagrangian perturbation theory for precision cosmology
• Galilean invariant resummation schemes of cosmological perturbations
• Power spectrum in the presence of large-scale overdensity and tidal fields: breaking azimuthal symmetry
• An Application of Wiener Hermite Expansion to Non-linear Evolution of Dark Matter

Cited by in corpus (24)

• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• 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
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Baryon Acoustic Oscillation Theory and Modelling Systematics for the DESI 2024 results
• ENCORE: An $\mathcal{O}(N_{\mathrm{g}}^2)$ Estimator for Galaxy $N$-Point Correlation Functions
• The Halo Bispectrum Multipoles in Redshift Space
• Information Content of Higher-Order Galaxy Correlation Functions
• Bispectrum-window convolution via Hankel transform
• Isotropic N-Point Basis Functions and Their Properties
• Analytic Gaussian Covariance Matrices for Galaxy $N$-Point Correlation Functions
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Modelling the next-to-leading order matter three-point correlation function using FFTLog
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• The halo 3-point correlation function: a methodological analysis
• Second-order peculiar velocity field as a novel probe of scalar-tensor theories
• Window convolution of the galaxy clustering bispectrum
• A Model for the Redshift-Space Galaxy 4-Point Correlation Function
• Mixing Bispectrum Multipoles Under Geometric Distortions
• The imprints of massive neutrinos on the three-point correlation function of large-scale structures
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Skew-spectra: a generalization to spin-$s$