Beyond the plane-parallel approximation for redshift surveys

Castorina, Emanuele; White, Martin

doi:10.1093/mnras/sty410

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:

Castorina, Emanuele ^[1];

^[1]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: 2018-02-19

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.

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                    Castorina, Emanuele, & White, Martin. Beyond the plane-parallel approximation for redshift surveys.  United States.  https://doi.org/10.1093/mnras/sty410

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                    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.

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@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         = {2018},

  month        = {2}

}

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https://doi.org/10.1093/mnras/sty410

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Cited by: 52 works

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Figures / Tables:

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 »

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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

The redshift-space momentum power spectrum – I. Optimal estimation from peculiar velocity surveys
journal, May 2019

Howlett, Cullan
Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
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

Hand, Nick; Feng, Yu; Beutler, Florian
The Astronomical Journal, Vol. 156, Issue 4
DOI: 10.3847/1538-3881/aadae0

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

Villaescusa-Navarro, Francisco; Genel, Shy; Castorina, Emanuele
arXiv
DOI: 10.48550/arxiv.1804.09180

The Redshift-Space Momentum Power Spectrum I: Optimal Estimation From Peculiar Velocity Surveys
text, January 2019

Howlett, Cullan
arXiv
DOI: 10.48550/arxiv.1906.02875

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

Chen, Shi-Fan; Vlah, Zvonimir; White, Martin
arXiv
DOI: 10.48550/arxiv.1907.00043

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
text, January 2019

Taruya, Atsushi; Saga, Shohei; Breton, Michel-Andrès
arXiv
DOI: 10.48550/arxiv.1908.03854

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Similar Records

Title: Beyond the plane-parallel approximation for redshift surveys

Abstract

Citation Formats

Figures / Tables:

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

The redshift-space momentum power spectrum – I. Optimal estimation from peculiar velocity surveys journal, May 2019

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

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

Ingredients for 21 cm Intensity Mapping journal, October 2018

Ingredients for 21cm intensity mapping text, January 2018

The Redshift-Space Momentum Power Spectrum I: Optimal Estimation From Peculiar Velocity Surveys text, January 2019

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

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation text, January 2019

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

The redshift-space momentum power spectrum – I. Optimal estimation from peculiar velocity surveys
journal, May 2019

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

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

Ingredients for 21 cm Intensity Mapping
journal, October 2018

Ingredients for 21cm intensity mapping
text, January 2018

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text, January 2019

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

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
text, January 2019