Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
Abstract
We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF, respectively) on the basis of the decomposition formalism of the 3PCF using tripolar spherical harmonics. We perform such an analysis with MultiDark-Patchy mock catalogues to demonstrate and understand the benefit of the anisotropic 3PCF. We focus on scales above $$80\, h^{-1}\, {\rm Mpc}$$, and use information from the shape and the baryon acoustic oscillation (BAO) signals of the 2PCF and 3PCF. We also apply density field reconstruction to increase the signal-to-noise ratio of BAO in the 2PCF measurement, but not in the 3PCF measurement. In particular, we study in detail the constraints on the angular diameter distance and the Hubble parameter. We build a model of the bispectrum or 3PCF that includes the non-linear damping of the BAO signal in redshift space. We carefully account for various uncertainties in our analysis including theoretical models of the 3PCF, window function corrections, biases in estimated parameters from the fiducial values, the number of mock realizations to estimate the covariance matrix, and bin size. The joint analysis of the 2PCF and 3PCF monopole and quadrupole components shows a $$30{{\ \rm per\ cent}}$$ and $$20{{\ \rm per\ cent}}$$ improvement in Hubble parameter constraints before and after reconstruction of the 2PCF measurements, respectively, compared to the 2PCF analysis alone. Furthermore, this study clearly shows that the anisotropic 3PCF increases cosmological information from galaxy surveys and encourages further development of the modelling of the 3PCF on smaller scales than we consider.
- Authors:
-
[2];
[3];
[4]
- National Astronomical Observatory of Japan, Tokyo (Japan)
- Missouri University of Science and Technology, Rolla, MO (United States); University of Tokyo, Chiba (Japan)
- University of Edinburgh (United Kingdom)
- Ohio University, Athens, OH (United States)
- Publication Date:
- Research Org.:
- Ohio Univ., Athens, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 2290357
- Grant/Contract Number:
- SC0019091
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Volume: 501; Journal Issue: 2; Journal ID: ISSN 0035-8711
- Publisher:
- Oxford University Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmology: dark matter; cosmology: large-scale structure of Universe; cosmology: observations; cosmology: theory
Citation Formats
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, and Seo, Hee-Jong. Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues. United States: N. p., 2020.
Web. doi:10.1093/mnras/staa3725.
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, & Seo, Hee-Jong. Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues. United States. https://doi.org/10.1093/mnras/staa3725
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, and Seo, Hee-Jong. Thu .
"Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues". United States. https://doi.org/10.1093/mnras/staa3725. https://www.osti.gov/servlets/purl/2290357.
@article{osti_2290357,
title = {Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues},
author = {Sugiyama, Naonori S. and Saito, Shun and Beutler, Florian and Seo, Hee-Jong},
abstractNote = {We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF, respectively) on the basis of the decomposition formalism of the 3PCF using tripolar spherical harmonics. We perform such an analysis with MultiDark-Patchy mock catalogues to demonstrate and understand the benefit of the anisotropic 3PCF. We focus on scales above $80\, h^{-1}\, {\rm Mpc}$, and use information from the shape and the baryon acoustic oscillation (BAO) signals of the 2PCF and 3PCF. We also apply density field reconstruction to increase the signal-to-noise ratio of BAO in the 2PCF measurement, but not in the 3PCF measurement. In particular, we study in detail the constraints on the angular diameter distance and the Hubble parameter. We build a model of the bispectrum or 3PCF that includes the non-linear damping of the BAO signal in redshift space. We carefully account for various uncertainties in our analysis including theoretical models of the 3PCF, window function corrections, biases in estimated parameters from the fiducial values, the number of mock realizations to estimate the covariance matrix, and bin size. The joint analysis of the 2PCF and 3PCF monopole and quadrupole components shows a $30{{\ \rm per\ cent}}$ and $20{{\ \rm per\ cent}}$ improvement in Hubble parameter constraints before and after reconstruction of the 2PCF measurements, respectively, compared to the 2PCF analysis alone. Furthermore, this study clearly shows that the anisotropic 3PCF increases cosmological information from galaxy surveys and encourages further development of the modelling of the 3PCF on smaller scales than we consider.},
doi = {10.1093/mnras/staa3725},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 501,
place = {United States},
year = {Thu Dec 03 00:00:00 EST 2020},
month = {Thu Dec 03 00:00:00 EST 2020}
}
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