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Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel’dovich approximation

Abstract : Redshift-space distortions (RSD) in galaxy redshift surveys generally break both the isotropy and homogeneity of galaxy distribution. While the former aspect is particularly highlighted as a probe of growth of structure induced by gravity, the latter aspect, often quoted as wide-angle RSD but ignored in most of the cases, will become important and critical to account for as increasing the statistical precision in next-generation surveys. However, the impact of wide-angle RSD has been mostly studied using linear perturbation theory. In this paper, employing the Zel’dovich approximation, i.e. first-order Lagrangian perturbation theory for gravitational evolution of matter fluctuations, we present a quasi-linear treatment of wide-angle RSD, and compute the cross-correlation function. The present formalism consistently reproduces linear theory results, and can be easily extended to incorporate relativistic corrections (e.g. gravitational redshift).
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https://hal.archives-ouvertes.fr/hal-02317344
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Submitted on : Wednesday, October 16, 2019 - 12:34:04 AM
Last modification on : Saturday, March 28, 2020 - 1:54:36 AM

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Atsushi Taruya, Shohei Saga, Michel-Andrès Breton, Yann Rasera, Tomohiro Fujita. Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel’dovich approximation. Mon.Not.Roy.Astron.Soc., 2020, 491 (3), pp.4162-4179. ⟨10.1093/mnras/stz3272⟩. ⟨hal-02317344⟩

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