Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses

Abstract

Future precision cosmology from large-scale structure experiments including the Dark Energy Spectroscopic Instrument (DESI) and Euclid will probe wider and deeper cosmic volumes than those covered by previous surveys. The Cartesian power spectrum analysis of anisotropic galaxy clustering based on the Fourier plane wave basis makes a number of assumptions, including the local plane-parallel approximation, that will no longer be valid on very large scales and may degrade cosmological constraints. We propose an approach that utilises a hybrid basis: on the largest scales, clustering statistics are decomposed into spherical Fourier modes which respect the natural geometry of both survey observations and physical effects along the line of sight, such as redshift-space distortions, the Alcock--Paczyńsky and light-cone effects; on smaller scales with far more clustering modes, we retain the computational benefit of the power spectrum analysis aided by fast Fourier transforms. This approach is particularly suited to the likelihood analysis of local primordial non-Gaussianity $f_{\text{NL}}$ through the scale-dependent halo bias, and we demonstrate its applicability with $N$-body simulations. We also release our public code Harmonia (https://github.com/MikeSWang/Harmonia) for galaxy clustering likelihood inference in spherical Fourier or hybrid-basis analyses.

arXiv commentPublished by JCAP, 12 figures and 1 table; public code available at http://github.com/MikeSWang/Harmonia; added references and minor changes

References in corpus (90)

• The cosmological simulation code GADGET-2
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Planck 2018 results. V. CMB power spectra and likelihoods
• Cosmology and Fundamental Physics with the Euclid Satellite
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• Ahf: Amiga's Halo Finder
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• Transients from Initial Conditions in Cosmological Simulations
• Planck 2013 results. XV. CMB power spectra and likelihood
• The linear power spectrum of observed source number counts
• Constraints on local primordial non-Gaussianity from large scale structure
• What galaxy surveys really measure
• Estimating the Power Spectrum of the Cosmic Microwave Background
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• How to measure CMB power spectra without losing information
• The effect of primordial non-Gaussianity on halo bias
• Measuring the cosmological constant with redshift surveys
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Large-scale clustering of galaxies in general relativity
• DESI and other dark energy experiments in the era of neutrino mass measurements
• Radical Compression of Cosmic Microwave Background Data
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• 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
• Likelihood Analysis of CMB Temperature and Polarization Power Spectra
• Parameter inference with estimated covariance matrices
• The 2dF Galaxy Redshift Survey: Spherical Harmonics analysis of fluctuations in the final catalogue
• Myths and Truths Concerning Estimation of Power Spectra
• Global, Exact Cosmic Microwave Background Data Analysis Using Gibbs Sampling
• Power spectrum estimation from high-resolution maps by Gibbs sampling
• 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
• A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey
• Reconstructed Density and Velocity Fields from the 2MASS Redshift Survey
• A Spherical Harmonic Analysis of Redshift Space
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• The Pseudo-$C_l$ method: Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• 3D weak lensing
• Weak lensing analysis in three dimensions
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• The Dipole Anisotropy of the 2 Micron All-Sky Redshift Survey
• Ultra large-scale cosmology in next-generation experiments with single tracers
• Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background
• Disentangling non-Gaussianity, bias and GR effects in the galaxy distribution
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• 3D Cosmic Shear: Cosmology from CFHTLenS
• Combining cosmological datasets: hyperparameters and Bayesian evidence
• Wiener Reconstruction of Density, Velocity, and Potential Fields from All-Sky Galaxy Redshift Surveys
• Hunting down horizon-scale effects with multi-wavelength surveys
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Dependence of cosmic shear covariances on cosmology - Impact on parameter estimation
• Beyond the plane-parallel approximation for redshift surveys
• An optimal FFT-based anisotropic power spectrum estimator
• Spherical Harmonic Analysis of the PSCz Galaxy Catalogue: Redshift distortions and the real-space power spectrum
• Non-Perturbative Effects of Geometry in Wide-Angle Redshift Distortions
• Wide Angle Redshift Distortions Revisited
• Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
• Interpreting measurements of the anisotropic galaxy power spectrum
• Wide Angle Effects in Future Galaxy Surveys
• Einstein's legacy in galaxy surveys
• Simulating Redshift-Space Distortions for Galaxy Pairs with Wide Angular Separation
• Redshift-space distortions with wide angular separations
• All-Sky Analysis of the General Relativistic Galaxy Power Spectrum
• Modeling relativistic contributions to the halo power spectrum dipole
• Bayesian `Hyper-Parameters' Approach to Joint Estimation: The Hubble Constant from CMB Measurements
• On density and velocity fields and beta from the IRAS PSCz survey
• 3DEX: a code for fast spherical Fourier-Bessel decomposition of 3D surveys
• 3D Spherical Analysis of Baryon Acoustic Oscillations
• Optimising primordial non-Gaussianity measurements from galaxy surveys
• 3-dimensional spherical analyses of cosmological spectroscopic surveys
• Disconnected Covariance of 2-point Functions in Large-Scale Structure
• 3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis
• Effects of Linear Redshift Space Distortions and Perturbation Theory on BAOs: A 3D Spherical Analysis
• Cosmological Inference from Galaxy-Clustering Power Spectrum: Gaussianization and Covariance Decomposition
• Markov-chain reconstruction of the 2dF Galaxy Redshift Survey real-space power spectrum
• The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect: A 3D Spherical Analysis
• How to combine correlated data sets -- A Bayesian hyperparameter matrix method
• Proper Fourier decomposition formalism for cosmological fields in spherical shells

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• Impact of Relativistic Effects on the Primordial Non-Gaussianity Signature in the Large-Scale Clustering of Quasars
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• Joint analyses of 2D CMB lensing and 3D galaxy clustering in the spherical Fourier-Bessel basis
• The full-sky Spherical Fourier-Bessel power spectrum in general relativity
• Validating galaxy clustering models with Fixed & Paired and Matched-ICs simulations: application to Primordial Non-Gaussianities
• Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis
• The RSD Sorting Hat: Unmixing Radial Scales in Projection
• Euclid preparation. Improving cosmological constraints using a new multi-tracer method with the spectroscopic and photometric samples
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• The large-scale monopole of the power spectrum in a Euclid-like survey: wide-angle effects, lensing, and the `finger of the observer'
• The Kaiser-Rocket effect: three decades and counting