Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure
Abstract
Next-generation optical imaging surveys will revolutionize the observations of weak gravitational lensing by galaxy clusters and provide stringent constraints on growth of structure and cosmic acceleration. In these experiments, accurate modelling of covariance matrices of cluster weak lensing plays the key role in obtaining robust measurements of the mean mass of clusters and cosmological parameters. We use a combination of analytical calculations and high-resolution N-body simulations to derive accurate covariance matrices that span from the virial regime to linear scales of the cluster-matter cross-correlation. We validate this calculation using a public ray-tracing lensing simulation and provide a software package for calculating covariance matrices for a wide range of cluster and source sample choices. We discuss the relative importance of shape noise and density fluctuations, the impact of radial bin size, and the impact of off-diagonal elements. For a weak lensing source density ns = 10 arcmin-2, shape noise typically dominates the variance on comoving scales $$r_{\rm p}\lesssim 5\ h^{-1} \, \rm Mpc$$. However, for ns = 60 arcmin-2, potentially achievable with future weak lensing experiments, density fluctuations typically dominate the variance at $$r_{\rm p}\gtrsim 1\ h^{-1} \, \rm Mpc$$ and remain comparable to shape noise on smaller scales.
- Authors:
-
[1];
[1];
[1];
[2]
- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics, Dept. of Astronomy, and Center for Cosmology and Astro-Particle Physics
- Shanghai Jiao Tong Univ. (China)
- Publication Date:
- Research Org.:
- Krell Institute, Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1800901
- Grant/Contract Number:
- FG02-97ER25308
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Volume: 490; Journal Issue: 2; Journal ID: ISSN 0035-8711
- Publisher:
- Royal Astronomical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; gravitational lensing: weak; galaxies: clusters: general; cosmological parameters; cosmology: theory
Citation Formats
Wu, Hao-Yi, Weinberg, David H., Salcedo, Andrés N., Wibking, Benjamin D., and Zu, Ying. Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure. United States: N. p., 2019.
Web. doi:10.1093/mnras/stz2617.
Wu, Hao-Yi, Weinberg, David H., Salcedo, Andrés N., Wibking, Benjamin D., & Zu, Ying. Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure. United States. https://doi.org/10.1093/mnras/stz2617
Wu, Hao-Yi, Weinberg, David H., Salcedo, Andrés N., Wibking, Benjamin D., and Zu, Ying. Thu .
"Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure". United States. https://doi.org/10.1093/mnras/stz2617. https://www.osti.gov/servlets/purl/1800901.
@article{osti_1800901,
title = {Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure},
author = {Wu, Hao-Yi and Weinberg, David H. and Salcedo, Andrés N. and Wibking, Benjamin D. and Zu, Ying},
abstractNote = {Next-generation optical imaging surveys will revolutionize the observations of weak gravitational lensing by galaxy clusters and provide stringent constraints on growth of structure and cosmic acceleration. In these experiments, accurate modelling of covariance matrices of cluster weak lensing plays the key role in obtaining robust measurements of the mean mass of clusters and cosmological parameters. We use a combination of analytical calculations and high-resolution N-body simulations to derive accurate covariance matrices that span from the virial regime to linear scales of the cluster-matter cross-correlation. We validate this calculation using a public ray-tracing lensing simulation and provide a software package for calculating covariance matrices for a wide range of cluster and source sample choices. We discuss the relative importance of shape noise and density fluctuations, the impact of radial bin size, and the impact of off-diagonal elements. For a weak lensing source density ns = 10 arcmin-2, shape noise typically dominates the variance on comoving scales $r_{\rm p}\lesssim 5\ h^{-1} \, \rm Mpc$. However, for ns = 60 arcmin-2, potentially achievable with future weak lensing experiments, density fluctuations typically dominate the variance at $r_{\rm p}\gtrsim 1\ h^{-1} \, \rm Mpc$ and remain comparable to shape noise on smaller scales.},
doi = {10.1093/mnras/stz2617},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 490,
place = {United States},
year = {Thu Sep 19 00:00:00 EDT 2019},
month = {Thu Sep 19 00:00:00 EDT 2019}
}
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Works referencing / citing this record:
Cosmology with galaxy–galaxy lensing on non-perturbative scales: emulation method and application to BOSS LOWZ
journal, December 2019
- Wibking, Benjamin D.; Weinberg, David H.; Salcedo, Andrés N.
- Monthly Notices of the Royal Astronomical Society, Vol. 492, Issue 2