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Cosmological constraints from Fourier phase statistics

Ali, Kamran; Obreschkow, Danail; Howlett, Cullan; Bonvin, Camille; Llinares, Claudio; Oliveira Franco, Felipe; Power, Chris

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Authors

Kamran Ali

Danail Obreschkow

Cullan Howlett

Camille Bonvin

Claudio Llinares

Felipe Oliveira Franco

Chris Power



Abstract

Most statistical inference from cosmic large-scale structure relies on two-point statistics, i.e. on the galaxy–galaxy correlation function (2PCF) or the power spectrum. These statistics capture the full information encoded in the Fourier amplitudes of the galaxy density field but do not describe the Fourier phases of the field. Here, we quantify the information contained in the line correlation function (LCF), a three-point Fourier phase correlation function. Using cosmological simulations, we estimate the Fisher information (at redshift z = 0) of the 2PCF, LCF, and their combination, regarding the cosmological parameters of the standard CDM model, as well as a warm dark matter model and the f(R) and Symmetron-modified gravity models. The galaxy bias is accounted for at the level of a linear bias. The relative information of the 2PCF and the LCF depends on the survey volume, sampling density (shot noise), and the bias uncertainty. For a volume of 1 h −3 Gpc3, sampled with points of mean density ¯n = 2 × 10−3 h3 Mpc−3, and a bias uncertainty of 13 per cent, the LCF improves the parameter constraints by about 20 per cent in theCDMcosmology and potentially even more in alternative models. Finally, since a linear bias only affects the Fourier amplitudes (2PCF), but not the phases (LCF), the combination of the 2PCF and the LCF can be used to break the degeneracy between the linear bias and σ8, present in two-point statistics.

Citation

Ali, K., Obreschkow, D., Howlett, C., Bonvin, C., Llinares, C., Oliveira Franco, F., & Power, C. (2018). Cosmological constraints from Fourier phase statistics. Monthly Notices of the Royal Astronomical Society, 479(2), 2743-2753. https://doi.org/10.1093/mnras/sty1696

Journal Article Type Article
Acceptance Date Jun 25, 2018
Online Publication Date Jun 28, 2018
Publication Date Jun 28, 2018
Deposit Date Aug 30, 2018
Publicly Available Date Aug 30, 2018
Journal Monthly Notices of the Royal Astronomical Society
Print ISSN 0035-8711
Electronic ISSN 1365-2966
Publisher Royal Astronomical Society
Peer Reviewed Peer Reviewed
Volume 479
Issue 2
Pages 2743-2753
DOI https://doi.org/10.1093/mnras/sty1696
Public URL https://durham-repository.worktribe.com/output/1321136

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Copyright Statement
This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society © 2018 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.






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