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Title: Beyond the plane-parallel approximation for redshift surveys

Abstract

Redshift -space distortions privilege the location of the observer in cosmological redshift surveys, breaking the translational symmetry of the underlying theory. This violation of statistical homogeneity has consequences for the modelling of clustering observables, leading to what are frequently called `wide-angle effects'. We study these effects analytically, computing their signature in the clustering of the multipoles in configuration and Fourier space. We take into account both physical wide-angle contributions as well as the terms generated by the galaxy selection function. Similar considerations also affect the way power spectrum estimators are constructed. We quantify in an analytical way the biases that enter and clarify the relation between what we measure and the underlying theoretical modelling. The presence of an angular window function is also discussed. Motivated by this analysis, we present new estimators for the three dimensional Cartesian power spectrum and bispectrum multipoles written in terms of spherical Fourier-Bessel coefficients. We show how the latter have several interesting properties, allowing in particular a clear separation between angular and radial modes.

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:
1461164
Alternate Identifier(s):
OSTI ID: 1593675
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: 476; Journal Issue: 4; Related Information: © 2018 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society.; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; methods: analytical; methods: observational; cosmological parameters; large-scale structure of Universe; cosmology: theory

Citation Formats

Castorina, Emanuele, and White, Martin. Beyond the plane-parallel approximation for redshift surveys. United States: N. p., 2018. Web. doi:10.1093/mnras/sty410.
Castorina, Emanuele, & White, Martin. Beyond the plane-parallel approximation for redshift surveys. United States. https://doi.org/10.1093/mnras/sty410
Castorina, Emanuele, and White, Martin. Mon . "Beyond the plane-parallel approximation for redshift surveys". United States. https://doi.org/10.1093/mnras/sty410. https://www.osti.gov/servlets/purl/1461164.
@article{osti_1461164,
title = {Beyond the plane-parallel approximation for redshift surveys},
author = {Castorina, Emanuele and White, Martin},
abstractNote = {Redshift -space distortions privilege the location of the observer in cosmological redshift surveys, breaking the translational symmetry of the underlying theory. This violation of statistical homogeneity has consequences for the modelling of clustering observables, leading to what are frequently called `wide-angle effects'. We study these effects analytically, computing their signature in the clustering of the multipoles in configuration and Fourier space. We take into account both physical wide-angle contributions as well as the terms generated by the galaxy selection function. Similar considerations also affect the way power spectrum estimators are constructed. We quantify in an analytical way the biases that enter and clarify the relation between what we measure and the underlying theoretical modelling. The presence of an angular window function is also discussed. Motivated by this analysis, we present new estimators for the three dimensional Cartesian power spectrum and bispectrum multipoles written in terms of spherical Fourier-Bessel coefficients. We show how the latter have several interesting properties, allowing in particular a clear separation between angular and radial modes.},
doi = {10.1093/mnras/sty410},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 4,
volume = 476,
place = {United States},
year = {Mon Feb 19 00:00:00 EST 2018},
month = {Mon Feb 19 00:00:00 EST 2018}
}

Journal Article:
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Cited by: 52 works
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Figures / Tables:

Figure 1 Figure 1: The assumed geometry and angles. The two galaxies lie at $\overrightarrow{s}_{1}$ and $\overrightarrow{s}_{2}$, with separation vector $\overrightarrow{s}$ = $\overrightarrow{s}_{1}$ − $\overrightarrow{s}_{2}$ and enclosed angle θ. We take the line of sight to be parallel to the angle bisector, $\overrightarrow{d}$, which divides $\overrightarrow{s}$ into parts of lengths st andmore » s(1− t). The separation vector, $\overrightarrow{s}$, makes an angle φ with the line of sight direction, d̂.« 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
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The redshift-space momentum power spectrum – I. Optimal estimation from peculiar velocity surveys
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  • DOI: 10.1093/mnras/stz1403

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

nbodykit: An Open-source, Massively Parallel Toolkit for Large-scale Structure
journal, September 2018


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

Ingredients for 21cm intensity mapping
text, January 2018


The Reconstructed Power Spectrum in the Zeldovich Approximation
text, January 2019


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