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

Atsushi Taruya*, Shohei Saga, Michel Andres Breton, Yann Rasera, Tomohiro Fujita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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).

Original languageEnglish
Pages (from-to)4162-4179
Number of pages18
JournalMonthly Notices of the Royal Astronomical Society
Issue number3
Publication statusPublished - 2020 Jan 1
Externally publishedYes


  • Cosmology: Theory
  • Galaxies: Distances and redshifts
  • Large-scale structure of Universe
  • Methods: Analytical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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