Beyond the planeparallel 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 `wideangle 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 wideangle 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 FourierBessel coefficients. We show how the latter have several interesting properties, allowing in particular a clear separation between angular and radial modes.
 Authors:

 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:
 AC0205CH11231; 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 00358711
 Publisher:
 Royal Astronomical Society
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; methods: analytical; methods: observational; cosmological parameters; largescale structure of Universe; cosmology: theory
Citation Formats
Castorina, Emanuele, and White, Martin. Beyond the planeparallel approximation for redshift surveys. United States: N. p., 2018.
Web. https://doi.org/10.1093/mnras/sty410.
Castorina, Emanuele, & White, Martin. Beyond the planeparallel approximation for redshift surveys. United States. https://doi.org/10.1093/mnras/sty410
Castorina, Emanuele, and White, Martin. Mon .
"Beyond the planeparallel 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 planeparallel 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 `wideangle 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 wideangle 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 FourierBessel 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 = {2018},
month = {2}
}
Web of Science
Figures / Tables:
Works referencing / citing this record:
The reconstructed power spectrum in the Zeldovich approximation
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 Chen, ShiFan; Vlah, Zvonimir; White, Martin
 Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
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 Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
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Figures / Tables found in this record: