An analytic model for redshift-space distortions

2013/06/30 by Lile Wang, Beth Reid, Martin White · 6 citations
Computer Science · Physics and Astronomy · #Adaptive optics and wavefront sensing #Advanced Vision and Imaging #Astronomy #Astrophysics #Galaxy #Optical measurement and interference techniques #Physics #Redshift #Redshift survey #Redshift-space distortions #Space (punctuation) #astro-ph.CO

paper · pdf · doi:10.1093/mnras/stt1916

12 pages, 12 figures. Minor modifications to match version accepted by MNRAS

arxiv created 2013/10/09 · openalex publication_date 2013/11/07 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Understanding the formation and evolution of large-scale structure is a central problem in cosmology and enables precise tests of General Relativity on cosmological scales and constraints on dark energy. An essential ingredient is an accurate description of the pairwise velocities of biased tracers of the matter field. In this paper, we compute the first and second moments of the pairwise velocity distribution by extending the convolution Lagrangian perturbation theory (CLPT) formalism of Carlson et al. Our predictions outperform standard perturbation theory calculations in many cases when compared to statistics measured in N-body simulations. We combine the CLPT predictions of real-space clustering and velocity statistics in the Gaussian streaming model of Reid & White to obtain predictions for the monopole and quadrupole correlation functions accurate to 2 and 4 per cent, respectively, down to <25 h−1 Mpc for haloes hosting the massive galaxies observed by SDSS-III BOSS. We also discuss contours of the 2D correlation function and clustering ‘wedges’. We generalize the scheme to cross-correlation functions.

Citations

• Resumming cosmological perturbations via the Lagrangian picture: One-loop results in real space and in redshift space
• Testing cosmological structure formation using redshift-space distortions

Cited by

• Lagrangian perturbation theory: exact one-loop power spectrum in general dark energy models
• Testing gravity on large scales by combining weak lensing with galaxy clustering using CFHTLenS and BOSS CMASS
• The clustering of the SDSS main galaxy sample – II. Mock galaxy catalogues and a measurement of the growth of structure from redshift space distortions at z = 0.15
• Wide-angle effects for peculiar velocities
• The clustering of the SDSS-IV extended baryon oscillation spectroscopic survey DR16 luminous red galaxy and emission-line galaxy samples: cosmic distance and structure growth measurements using multiple tracers in configuration space
• Reducing the variance of redshift space distortion measurements from mock galaxy catalogues with different lines of sight