The Peculiar Velocity Correlation Function

Abstract

We present an analysis of the two-point peculiar velocity correlation function using data from the CosmicFlows catalogues. The Millennium and MultiDark Planck 2 N-body simulations are used to estimate cosmic variance and uncertainties due to measurement errors. We compare the velocity correlation function to expectations from linear theory to constrain cosmological parameters. Using the maximum likelihood method, we find values of ${\Omega }_m=0.315_{-0.135}^{+0.205}$ and ${\sigma }_8=0.92_{-0.295}^{+0.440}$, consistent with the Planck and Wilkinson Microwave Anisotropy Probe CMB derived estimates. However, we find that the cosmic variance of the correlation function is large and non-Gaussian distributed, making the peculiar velocity correlation function less than ideal as a probe of large-scale structure.

arXiv comment12 pages, 13 figures

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Cited by in corpus (11)

• Analyzing the Large-Scale Bulk Flow using CosmicFlows4: Increasing Tension with the Standard Cosmological Model
• The peculiar velocity field up to $z\sim 0.05$ by forward-modeling Cosmicflows-3 data
• An estimation of the Local growth rate from Cosmicflows-3 peculiar velocities
• The Redshift-Space Momentum Power Spectrum I: Optimal Estimation From Peculiar Velocity Surveys
• Improving estimates of the growth rate using galaxy-velocity correlations: a simulation study
• Field-Based Physical Inference From Peculiar Velocity Tracers
• Peculiar Velocity Estimation from Kinetic SZ Effect using Deep Neural Networks
• Peculiar Velocity Reconstruction From Simulations and Observations Using Deep Learning Algorithms
• Constraining H0 Via Extragalactic Parallax
• Estimating power spectrum of discrete cosmic momentum field with fast Fourier transform
• Improved Methods for Estimating Peculiar Velocity Correlation Functions Using Volume Weighting