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Title: The Zeldovich approximation and wide-angle redshift-space distortions

Abstract

The contribution of line-of-sight (LOS) peculiar velocities to the observed redshift of objects breaks the translational symmetry of the underlying theory, modifying the predicted two-point functions. These `wide-angle effects' have mostly been studied using linear perturbation theory in the context of the multipoles of the correlation function and power spectrum. In this article, we present the first calculation of wide-angle terms in the Zeldovich approximation, which is known to be more accurate than linear theory on scales probed by the next generation of galaxy surveys. We present the exact result for dark matter and perturbatively biased tracers as well as the small angle expansion of the configuration- and Fourier-space two-point functions and the connection to the multifrequency angular power spectrum. We compare different definitions of the LOS direction and discuss how to translate between them. Lastly, we show that wide-angle terms can reach tens of percent of the total signal in a measurement at low redshift in some approximations, and that a generic feature of wide-angle effects is to slightly shift the Baryon Acoustic Oscillation scale.

Authors:
 [1]; ORCiD logo [1]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1530372
Alternate Identifier(s):
OSTI ID: 1594732
Grant/Contract Number:  
AC02-05CH11231; SC0017860; 1713791
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 479; Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; methods: analytical; cosmology: observations; cosmology: theory

Citation Formats

Castorina, Emanuele, and White, Martin. The Zeldovich approximation and wide-angle redshift-space distortions. United States: N. p., 2018. Web. https://doi.org/10.1093/mnras/sty1437.
Castorina, Emanuele, & White, Martin. The Zeldovich approximation and wide-angle redshift-space distortions. United States. https://doi.org/10.1093/mnras/sty1437
Castorina, Emanuele, and White, Martin. Tue . "The Zeldovich approximation and wide-angle redshift-space distortions". United States. https://doi.org/10.1093/mnras/sty1437. https://www.osti.gov/servlets/purl/1530372.
@article{osti_1530372,
title = {The Zeldovich approximation and wide-angle redshift-space distortions},
author = {Castorina, Emanuele and White, Martin},
abstractNote = {The contribution of line-of-sight (LOS) peculiar velocities to the observed redshift of objects breaks the translational symmetry of the underlying theory, modifying the predicted two-point functions. These `wide-angle effects' have mostly been studied using linear perturbation theory in the context of the multipoles of the correlation function and power spectrum. In this article, we present the first calculation of wide-angle terms in the Zeldovich approximation, which is known to be more accurate than linear theory on scales probed by the next generation of galaxy surveys. We present the exact result for dark matter and perturbatively biased tracers as well as the small angle expansion of the configuration- and Fourier-space two-point functions and the connection to the multifrequency angular power spectrum. We compare different definitions of the LOS direction and discuss how to translate between them. Lastly, we show that wide-angle terms can reach tens of percent of the total signal in a measurement at low redshift in some approximations, and that a generic feature of wide-angle effects is to slightly shift the Baryon Acoustic Oscillation scale.},
doi = {10.1093/mnras/sty1437},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 479,
place = {United States},
year = {2018},
month = {6}
}

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Cited by: 12 works
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Figures / Tables:

Figure 1 Figure 1: The assumed geometry and angles. The two galaxies lie at s1 and s2, with separation vector s = s1 − s2 and enclosed angle θ. We take the line of sight to be parallel to the angle bisector, d, which divides s into parts of lengths st andmore » s(1− t). The separation vector, s, makes an angle φ with the line of sight direction, $\hat{d}$.« less

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Works referencing / citing this record:

The reconstructed power spectrum in the Zeldovich approximation
journal, September 2019

  • Chen, Shi-Fan; Vlah, Zvonimir; White, Martin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
  • DOI: 10.1088/1475-7516/2019/09/017

Erratum: The Zeldovich approximation and wide-angle redshift-space distortions
journal, September 2019

  • Castorina, Emanuele; White, Martin
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 2
  • DOI: 10.1093/mnras/stz2541

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel’dovich approximation
journal, November 2019

  • Taruya, Atsushi; Saga, Shohei; Breton, Michel-Andrès
  • Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 3
  • DOI: 10.1093/mnras/stz3272

Ingredients for 21 cm Intensity Mapping
journal, October 2018

  • Villaescusa-Navarro, Francisco; Genel, Shy; Castorina, Emanuele
  • The Astrophysical Journal, Vol. 866, Issue 2
  • DOI: 10.3847/1538-4357/aadba0

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.