Work

The peculiar velocity correlation function of the Cosmicflows-4 catalogue

Year: 2026

Type: article

Abstract: ABSTRACT We present an analysis of the parallel peculiar velocity correlation function using data from the Cosmicflows-4 (CF4) survey. CF4 significantly extends the depth of the peculiar velocity measurements, mitigating the impact of observers on the cosmic variance. We examine the distribution of cosmic variance using different velocity correlation estimators. The combination of the large peculiar velocity uncertainties and the anisotropy distribution of the CF4 data across the Northern and Southern hemispheres results in substantial statistical uncertainties in the velocity correlation function. To address this, we test different weighing schemes in the velocity correlation function and implement a more accurate peculiar velocity estimator that reduces velocity uncertainties, consequently decreasing the statistical uncertainty. Using the CF4 group data set, we derive a growth rate of $f\sigma _8=0.384^{+0.116}_{-0.194}$ and a local growth rate of $f\sigma _8=0.569^{+0.054}_{-0.06}$ through a Markov Chain Monte Carlo method.

Source: Monthly Notices of the Royal Astronomical Society

DOI: 10.1093/mnras/stag677

Authors: Yuyu Wang, Hume A Feldman, Richard Watkins, Xiaohu Yang

Institutions: Shanghai Jiao Tong University, Ohio University, University of Kansas, Willamette University

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,046