Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space
Abstract
In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects, and shot-noise corrections, using perturbation theory (PT). To quantify the redshift-space distortion effect, we focus mainly on the monopole and quadrupole components of both the power and bispectra. We, for the first time, compute the 5- and 6-point spectra to predict the cross-covariance between the power and bispectra, and the autocovariance of the bispectrum in redshift space. Further, we test the validity of our calculations by comparing them with the covariance matrices measured from the MultiDark-Patchy mock catalogues that are designed to reproduce the galaxy clustering measured from the Baryon Oscillation Spectroscopic Survey Data Release 12. We argue that the simple, leading-order PT works because the shot-noise corrections for the Patchy mocks are more dominant than other higher order terms we ignore. In the meantime, we confirm some discrepancies in the comparison, especially of the cross-covariance. We discuss potential sources of such discrepancies. We also show that our PT model reproduces well the cumulative signal-to-noise ratio of the power spectrum and the bispectrum as a function of maximum wavenumber, implying that our PT modelmore »
- Authors:
-
[2];
[3];
[4]
- National Astronomical Observatory of Japan, Tokyo (Japan)
- Missouri Univ. of Science and Technology, Rolla, MO (United States); Max-Planck-Institut fur Astrophysik, Munchen (Germany); Univ. of Tokyo (Japan)
- Univ. of Portsmouth (United Kingdom); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Ohio Univ., Athens, OH (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Ohio Univ., Athens, OH (United States)
- Sponsoring Org.:
- Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT); USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1781400
- Alternate Identifier(s):
- OSTI ID: 2290360
- Grant/Contract Number:
- 19K14703; 28-1890; JP15H05896; JP16J01890; AC02-05CH11231; SC0019091
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Volume: 497; Journal Issue: 2; Journal ID: ISSN 0035-8711
- Publisher:
- Royal Astronomical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmology: large-scale structure of Universe; cosmology: dark matter; cosmology: observations; cosmology: theory
Citation Formats
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, and Seo, Hee-Jong. Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space. United States: N. p., 2020.
Web. doi:10.1093/mnras/staa1940.
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, & Seo, Hee-Jong. Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space. United States. https://doi.org/10.1093/mnras/staa1940
Sugiyama, Naonori S., Saito, Shun, Beutler, Florian, and Seo, Hee-Jong. Mon .
"Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space". United States. https://doi.org/10.1093/mnras/staa1940. https://www.osti.gov/servlets/purl/1781400.
@article{osti_1781400,
title = {Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space},
author = {Sugiyama, Naonori S. and Saito, Shun and Beutler, Florian and Seo, Hee-Jong},
abstractNote = {In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects, and shot-noise corrections, using perturbation theory (PT). To quantify the redshift-space distortion effect, we focus mainly on the monopole and quadrupole components of both the power and bispectra. We, for the first time, compute the 5- and 6-point spectra to predict the cross-covariance between the power and bispectra, and the autocovariance of the bispectrum in redshift space. Further, we test the validity of our calculations by comparing them with the covariance matrices measured from the MultiDark-Patchy mock catalogues that are designed to reproduce the galaxy clustering measured from the Baryon Oscillation Spectroscopic Survey Data Release 12. We argue that the simple, leading-order PT works because the shot-noise corrections for the Patchy mocks are more dominant than other higher order terms we ignore. In the meantime, we confirm some discrepancies in the comparison, especially of the cross-covariance. We discuss potential sources of such discrepancies. We also show that our PT model reproduces well the cumulative signal-to-noise ratio of the power spectrum and the bispectrum as a function of maximum wavenumber, implying that our PT model captures successfully essential contributions to the covariance matrices.},
doi = {10.1093/mnras/staa1940},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 497,
place = {United States},
year = {Mon Jul 06 00:00:00 EDT 2020},
month = {Mon Jul 06 00:00:00 EDT 2020}
}
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