Analytical Template for the 4-Point Correlation Function Covariance Beyond the Gaussian Random Field I: 1-Loop Corrections involving Second-Order Densities

arXiv:2509.05419 · astro-ph.CO · Submitted 2025-09-05 · Read on arXiv

astro-ph.CO

Submitted: 2025-09-05

Updated: 2026-09-09

Comments: 41 pages, 9 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Gaussian Random Field — 6× in this paper
• Baryon Oscillation Spectroscopic Survey — 2× in this paper
• Bispectrum — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Study of the Connected Four-Point Correlation Function of Galaxies from DESI Data Release 1 Luminous Red Galaxy Sample
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• DESI 2024 V: Full-Shape Galaxy Clustering from Galaxies and Quasars
• Neutrino Mass Signatures in the Galaxy Bispectrum
• A Model for the Redshift-Space Galaxy 4-Point Correlation Function
• Measurement of Parity-Violating Modes of the Dark Energy Spectroscopic Instrument (DESI) Year 1 Luminous Red Galaxies' 4-Point Correlation Function

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