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.

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

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Cited by in corpus (11)

• 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