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Title: Exploring redshift-space distortions in large-scale structure

Abstract

We explore and compare different ways large-scale structure observables in redshift-space and real space can be connected. These include direct computation in Lagrangian space, moment expansions and two formulations of the streaming model. We derive for the first time a Fourier space version of the streaming model, which yields an algebraic relation between the real- and redshift-space power spectra which can be compared to earlier, phenomenological models. By considering the redshift-space 2-point function in both configuration and Fourier space, we show how to generalize the Gaussian streaming model to higher orders in a systematic and computationally tractable way. We present a closed-form solution to the Zeldovich power spectrum in redshift space and use this as a framework for exploring convergence properties of different expansion approaches. While we use the Zeldovich approximation to illustrate these results, much of the formalism and many of the relations we derive hold beyond perturbation theory, and could be used with ingredients measured from N-body simulations or in other areas requiring decomposition of Cartesian tensors times plane waves. We finish with a discussion of the redshift-space bispectrum, bias and stochasticity and terms in Lagrangian perturbation theory up to 1-loop order.

Authors:
;
Publication Date:
Research Org.:
Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1594718
Alternate Identifier(s):
OSTI ID: 1593660; OSTI ID: 1593670
Grant/Contract Number:  
SC0017860
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 03; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; baryon acoustic oscillations; cosmological perturbation theory; power spectrum; redshift surveys

Citation Formats

Vlah, Zvonimir, and White, Martin. Exploring redshift-space distortions in large-scale structure. United States: N. p., 2019. Web. doi:10.1088/1475-7516/2019/03/007.
Vlah, Zvonimir, & White, Martin. Exploring redshift-space distortions in large-scale structure. United States. doi:10.1088/1475-7516/2019/03/007.
Vlah, Zvonimir, and White, Martin. Fri . "Exploring redshift-space distortions in large-scale structure". United States. doi:10.1088/1475-7516/2019/03/007.
@article{osti_1594718,
title = {Exploring redshift-space distortions in large-scale structure},
author = {Vlah, Zvonimir and White, Martin},
abstractNote = {We explore and compare different ways large-scale structure observables in redshift-space and real space can be connected. These include direct computation in Lagrangian space, moment expansions and two formulations of the streaming model. We derive for the first time a Fourier space version of the streaming model, which yields an algebraic relation between the real- and redshift-space power spectra which can be compared to earlier, phenomenological models. By considering the redshift-space 2-point function in both configuration and Fourier space, we show how to generalize the Gaussian streaming model to higher orders in a systematic and computationally tractable way. We present a closed-form solution to the Zeldovich power spectrum in redshift space and use this as a framework for exploring convergence properties of different expansion approaches. While we use the Zeldovich approximation to illustrate these results, much of the formalism and many of the relations we derive hold beyond perturbation theory, and could be used with ingredients measured from N-body simulations or in other areas requiring decomposition of Cartesian tensors times plane waves. We finish with a discussion of the redshift-space bispectrum, bias and stochasticity and terms in Lagrangian perturbation theory up to 1-loop order.},
doi = {10.1088/1475-7516/2019/03/007},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 03,
volume = 2019,
place = {United States},
year = {2019},
month = {3}
}

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