Non-linear Redshift-Space Power Spectra

Shaw, J Richard and Lewis, Antony (2008) Non-linear Redshift-Space Power Spectra. Physical Review D, 78 (10). ISSN 1050-2947

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Distances in cosmology are usually inferred from observed redshifts - an estimate that is dependent on the local peculiar motion - giving a distorted view of the three dimensional structure and affecting basic observables such as the correlation function and power spectrum. We calculate the full non-linear redshift-space power spectrum for Gaussian fields, giving results for both the standard flat sky approximation and the directly-observable angular correlation function and angular power spectrum. Coupling between large and small scale modes boosts the power on small scales when the perturbations are small, and small scale velocities slightly suppress power on large scales. The analysis is general, but we comment specifically on the implications for future high-redshift observations, and show that the non-linear spectrum has significantly more complicated angular structure than in linear theory. We comment on the implications for using the angular structure to separate cosmological and astrophysical components of 21 cm observations.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Antony Lewis
Date Deposited: 06 Feb 2012 18:45
Last Modified: 03 Jul 2019 01:51

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