Demonstrating the Use of the Spherical Fourier Bessel Basis for Large Scale Clustering Systematics Discovery and Mitigation with eBOSS

arXiv:2605.10935 · astro-ph.CO · Submitted 2026-05-11 · Read on arXiv

astro-ph.CO

Submitted: 2026-05-11

Updated: 2026-09-25

Code: https://github.com/hsgg/SphericalFourierBesselDecompositions.jl

Terminology

• Clustering — 15× in this paper · explained in 2 episodes
• Consistency — 8× in this paper · explained in 3 episodes
• Velocity Dispersion — 7× in this paper · explained in 2 episodes
• Spherical Fourier-Bessel — 5× in this paper
• AGN — 4× in this paper · explained in 1 episode
• Bispectrum — 3× in this paper · explained in 3 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Chebyshev Polynomials — 2× in this paper · explained in 2 episodes
• Non-Gaussianity — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Adaptive Metropolis-Hastings — 1× in this paper
• Alignment — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Primordial non-Gaussianity — 1× in this paper · explained in 2 episodes

Sources

• DESI 2024 II: Sample Definitions, Characteristics, and Two-point Clustering Statistics
• Cosmology with the SPHEREX All-Sky Spectral Survey
• The SPHEREx Satellite Mission
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Euclid. I. Overview of the Euclid mission
• Cosmology with the Wide-Field Infrared Survey Telescope -- Multi-Probe Strategies
• The cosmic microwave background bispectrum as a test of the physics of inflation and probe of the astrophysics of the low-redshift universe
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Reconstructing large-scale structure with neutral hydrogen surveys
• Mitigating contamination in LSS surveys: a comparison of methods
• Dark Energy Survey Year 3 Results: Measuring the Survey Transfer Function with Balrog
• Constraining primordial non-Gaussianity with DESI 2024 LRG and QSO samples
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: 1000 multi-tracer mock catalogues with redshift evolution and systematics for galaxies and quasars of the final data release
• Validation of Spherical Fourier-Bessel power spectrum analysis with lognormal simulations and eBOSS DR16 LRG EZmocks
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Large-scale Structure Catalogs for Cosmological Analysis
• Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space

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