Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis

Abstract

The three-dimensional galaxy power spectrum is a powerful probe of primordial non-Gaussianity and additional general relativistic effects, which become important on large scales. At the same time, wide-angle (WA) effects due to differing lines-of-sight (LOS) on the curved sky also become important with large angular separation. In this work, we accurately model WA and Doppler effects using the spherical Fourier-Bessel (SFB) formalism, before transforming the result into the commonly used power spectrum multipoles (PSM). This mapping from the SFB power spectrum to PSM represents a new way to non-perturbatively model WA and GR effects present in the PSM, which we validate with log-normal mocks. Moreover, for the first time, we can compute the analytical PSM Gaussian covariance on large scales, exactly including WA-induced mode-couplings, without resorting to any plane-parallel approximations.

arXiv comment9 pages, 3 figures. Added derivation of PSM covariance

References in corpus (45)

• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Cosmology and Fundamental Physics with the Euclid Satellite
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• The linear power spectrum of observed source number counts
• Constraints on local primordial non-Gaussianity from large scale structure
• What galaxy surveys really measure
• A unified pseudo-$C_{\ell }$ framework
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Cosmology with Phase 1 of the Square Kilometre Array; Red Book 2018: Technical specifications and performance forecasts
• Large-scale clustering of galaxies in general relativity
• General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?
• Fast Estimators for Redshift-Space Clustering
• Testing General Relativity with 21 cm intensity mapping
• The CLASSgal code for Relativistic Cosmological Large Scale Structure
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• gevolution: a cosmological N-body code based on General Relativity
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Beyond the plane-parallel approximation for redshift surveys
• Non-Perturbative Effects of Geometry in Wide-Angle Redshift Distortions
• Interpreting measurements of the anisotropic galaxy power spectrum
• Wide Angle Effects in Future Galaxy Surveys
• Simulating Redshift-Space Distortions for Galaxy Pairs with Wide Angular Separation
• The full-sky relativistic correlation function and power spectrum of galaxy number counts: I. Theoretical aspects
• Redshift-space distortions with wide angular separations
• All-Sky Analysis of the General Relativistic Galaxy Power Spectrum
• Designing an Inflation Galaxy Survey: how to measure $\sigma (f_{\mathrm{NL}})\sim 1$ using scale-dependent galaxy bias
• Spherical Harmonic Analyses of Intensity Mapping Power Spectra
• LIGER: mock relativistic light-cones from Newtonian simulations
• 3DEX: a code for fast spherical Fourier-Bessel decomposition of 3D surveys
• Weak-lensing observables in relativistic N-body simulations
• Bispectrum-window convolution via Hankel transform
• Local primordial non-Gaussianity from the large-scale clustering of photometric DESI luminous red galaxies
• 3-dimensional spherical analyses of cosmological spectroscopic surveys
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• 3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis
• Large Scale Limit of the Observed Galaxy Power Spectrum
• A case study for measuring the relativistic dipole of a galaxy cross-correlation with the Dark Energy Spectroscopic Instrument
• Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses
• Wide-angle effects in multi-tracer power spectra with Doppler corrections
• Wide-angle effects in the galaxy bispectrum
• Joint analyses of 2D CMB lensing and 3D galaxy clustering in the spherical Fourier-Bessel basis

Cited by in corpus (6)

• The full-sky Spherical Fourier-Bessel power spectrum in general relativity
• Primordial non-Gaussianity -- the effects of relativistic and wide-angle corrections to the power spectrum
• Measuring our peculiar velocity from spectroscopic redshift surveys
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• Large-scale Modeling of the Observed Power Spectrum Multipoles