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Article
Report number arXiv:2012.04636
Title Redshift-Space Distortions in Lagrangian Perturbation Theory
Author(s) Chen, Shi-Fan (UC, Berkeley) ; Vlah, Zvonimir (Cambridge U., KICC ; Cambridge U., DAMTP ; CERN) ; Castorina, Emanuele (Milan U. ; CERN) ; White, Martin (UC, Berkeley)
Publication 2021-03-29
Imprint 2020-12-08
Number of pages 36
Note 37 pages, 10 figures, updated to match version accepted by JCAP
In: JCAP 2103 (2021) 100
DOI 10.1088/1475-7516/2021/03/100
Subject category astro-ph.CO ; Astrophysics and Astronomy
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.
Copyright/License publication: © 2021-2025 IOP Publishing and Sissa Medialab
preprint: (License: CC-BY-4.0)



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