Power Spectrum Covariance of Weak Gravitational Lensing

2000/12/05 by Asantha Cooray, Wayne Hu · 5 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph

paper · pdf · doi:10.1086/321376

published as Astrophys.J. 554 (2001) 56-66 · 11 ApJ pages, 6 figures; submitted to ApJ

arxiv created 2000/12/05 · openalex publication_date 2001/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

Weak gravitational lensing observations probe the spectrum and evolution of density fluctuations and the cosmological parameters that govern them. At low redshifts, the nonlinear gravitational evolution of large-scale structure produces a non-Gaussian covariance in the shear power spectrum measurements that affects their translation into cosmological parameters. Using the dark matter halo approach, we study the covariance of binned band power spectrum estimates and the four-point function of the dark matter density field that underlies it. We compare this semianalytic estimate to results from N -body numerical simulations and find good agreement. We find that for a survey out to z ~ 1, the power spectrum covariance increases the errors on cosmological parameters determined under the Gaussian assumption by about 15%.

Citations

• Power Spectrum Correlations Induced by Nonlinear Clustering

Cited by

• Three-point correlations in weak lensing surveys: model predictions and applications
• Illuminating dark energy with cosmic shear
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• Weak Gravitational Lensing by Large-Scale Structure
• Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data