TY - JOUR

T1 - Wide-angle redshift-space distortions at quasi-linear scales

T2 - Cross-correlation functions from Zel'dovich approximation

AU - Taruya, Atsushi

AU - Saga, Shohei

AU - Breton, Michel Andres

AU - Rasera, Yann

AU - Fujita, Tomohiro

N1 - Publisher Copyright:
© 2020 Oxford University Press. All rights reserved.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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 wideangle 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).

AB - 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 wideangle 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).

KW - Cosmology: Theory

KW - Galaxies: Distances and redshifts

KW - Large-scale structure of Universe

KW - Methods: Analytical

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U2 - 10.1093/mnras/stz3272

DO - 10.1093/mnras/stz3272

M3 - Article

AN - SCOPUS:85092730246

VL - 491

SP - 4162

EP - 4179

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 3

ER -