Mitigation of DESI fiber assignment incompleteness effect on two-point clustering with small angular scale truncated estimators

Abstract

We present a method to mitigate the effects of fiber assignment incompleteness in two-point power spectrum and correlation function measurements from galaxy spectroscopic surveys, by truncating small angular scales from estimators. We derive the corresponding modified correlation function and power spectrum windows to account for the small angular scale truncation in the theory prediction. We validate this approach on simulations reproducing the Dark Energy Spectroscopic Instrument (DESI) Data Release 1 (DR1) with and without fiber assignment. We show that we recover unbiased cosmological constraints using small angular scale truncated estimators from simulations with fiber assignment incompleteness, with respect to standard estimators from complete simulations. Additionally, we present an approach to remove the sensitivity of the fits to high $k$ modes in the theoretical power spectrum, by applying a transformation to the data vector and window matrix. We find that our method efficiently mitigates the effect of fiber assignment incompleteness in two-point correlation function and power spectrum measurements, at low computational cost and with little statistical loss.

36 pages, 23 figures. Small typos corrected, references added. Matches the published version

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• DESI 2024 III: Baryon Acoustic Oscillations from Galaxies and Quasars
• DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements
• DESI 2024 II: Sample Definitions, Characteristics, and Two-point Clustering Statistics
• DESI 2024 V: Full-Shape Galaxy Clustering from Galaxies and Quasars
• Modified Gravity Constraints from the Full Shape Modeling of Clustering Measurements from DESI 2024
• ELG Spectroscopic Systematics Analysis of the DESI Data Release 1
• Validating the Galaxy and Quasar Catalog-Level Blinding Scheme for the DESI 2024 analysis
• $H_0$ Without the Sound Horizon (or Supernovae): A 2% Measurement in DESI DR1
• Exploring HOD-dependent systematics for the DESI 2024 Full-Shape galaxy clustering analysis
• Doppler bias: impact of peculiar velocities on color selection and the large scale structure of galaxy surveys
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• Inference of matter power spectrum at z=0 using DESI DR1 Full-Shape data
• An analytic approximation to the covariance between pre- and post-reconstruction galaxy two-point statistics
• Clustering analysis of medium-band selected high-redshift galaxies