Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory

Abstract

The peculiar velocities of biased tracers of the cosmic density field contain important information about the growth of large scale structure and generate anisotropy in the observed clustering of galaxies. Using N-body data, we show that velocity expansions for halo redshift-space power spectra are converged at the percent-level at perturbative scales for most line-of-sight angles $\mu$ when the first three pairwise velocity moments are included, and that the third moment is well-approximated by a counterterm-like contribution. We compute these pairwise-velocity statistics in Fourier space using both Eulerian and Lagrangian one-loop perturbation theory using a cubic bias scheme and a complete set of counterterms and stochastic contributions. We compare the models and show that our models fit both real-space velocity statistics and redshift-space power spectra for both halos and a mock sample of galaxies at sub-percent level on perturbative scales using consistent sets of parameters, making them appealing choices for the upcoming era of spectroscopic, peculiar-velocity and kSZ surveys.

63 pages, 11 figures, updated to match version accepted by JCAP

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Cited by in corpus (7)

• Redshift-Space Distortions in Lagrangian Perturbation Theory
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• Fast computation of non-linear power spectrum in cosmologies with massive neutrinos
• A comparison of template vs. direct model fitting for redshift-space distortions in BOSS
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Constraining Scale Dependent Growth with Redshift Surveys
• Neural Network Acceleration of Large-scale Structure Theory Calculations