Redshift-Space Distortions in Lagrangian Perturbation Theory

Abstract

We present the one-loop 2-point function of biased tracers in redshift space computed with Lagrangian perturbation theory, including a full resummation of both long-wavelength (infrared) displacements and associated velocities. The resulting model accurately predicts the power spectrum and correlation function of halos and mock galaxies from two different sets of N-body simulations at the percent level for quasi-linear scales, including the damping of the baryon acoustic oscillation signal due to the bulk motions of galaxies. We compare this full resummation with other, approximate, techniques including the moment expansion and Gaussian streaming model. We discuss infrared resummation in detail and compare our Lagrangian formulation with the Eulerian theory augmented by an infrared resummation based on splitting the input power spectrum into "wiggle" and "no-wiggle" components. We show that our model is able to recover unbiased cosmological parameters in mock data encompassing a volume much larger than what will be available to future galaxy surveys. We demonstrate how to efficiently compute the resulting expressions numerically, making available a fast Python code capable of rapidly computing these statistics in both configuration and Fourier space.

37 pages, 10 figures, updated to match version accepted by JCAP

References in corpus (19)

• Beyond the Cosmological Standard Model
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Extended Limber Approximation
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• The IR-resummed Effective Field Theory of Large Scale Structures
• Reconstructing Baryon Oscillations: A Lagrangian Theory Perspective
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• The Gaussian streaming model and Lagrangian effective field theory
• Halo bias in mixed dark matter cosmologies
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• How smooth are particle trajectories in a $\Lambda$CDM Universe?
• Biased Tracers of Two Fluids in the Lagrangian Picture
• Relativistic bias in neutrino cosmologies
• Quantifying the impact of baryon-CDM perturbations on halo clustering and baryon fraction
• Fast Calculation of Nonlinear Redshift-space Galaxy Power Spectrum Including Selection Bias

Cited by in corpus (9)

• 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
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• A comparison of template vs. direct model fitting for redshift-space distortions in BOSS
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• Updated neutrino mass constraints from galaxy clustering and CMB lensing-galaxy cross-correlation measurements
• Neural Network Acceleration of Large-scale Structure Theory Calculations
• Testing Large-Scale Structure Measurements Against Fisher Matrix Predictions