The cosmic shear three-point functions

Abstract

We investigate the three-point functions of the weak lensing cosmic shear, using both analytic methods and numerical results from N-body simulations. The analytic model, an isolated dark matter halo with a powerlaw profile chosen to fit the effective index at the scale probed, can be used to understand the basic properties of the eight three-point functions observed in simulations. We use this model to construct a single three-point function estimator that "optimally" combines the eight three-point functions. This new estimator is an alternative to Map statistics and provides up to a factor of two improvement in signal to noise compared to previously used combinations of cosmic shear three-point functions.

17 pages, 18 figures. Submitted to A&A

References in corpus (24)

• Stable clustering, the halo model and nonlinear cosmological power spectra
• Halo Models of Large Scale Structure
• Weak Gravitational Lensing by Large-Scale Structure
• The Skewness of the Aperture Mass Statistic
• Analysis of two-point statistics of cosmic shear: I. Estimators and covariances
• The Three-Point Correlation Function in Cosmology
• Three-Point Correlations in Weak Lensing Surveys: Model Predictions and Applications
• Weak gravitational lensing: reducing the contamination by intrinsic alignments
• Second Order Corrections to Weak Lensing by Large-Scale Structure
• Suppressing the contribution of intrinsic galaxy alignments to the shear two-point correlation function
• Detection of non-Gaussian Signatures in the VIRMOS-DESCART Lensing Survey
• Detection of dark matter Skewness in the VIRMOS-DESCART survey: Implications for Ω_0
• The effect of imperfect corrections of PSF anisotropy on cosmic shear measurements
• The three-point correlation function of cosmic shear: I. The natural components
• Testing Quintessence models with large-scale structure growth
• The three-point correlation function of cosmic shear. II: Relation to the bispectrum of the projected mass density and generalized third-order aperture measures
• The Kurtosis of the Cosmic Shear Field
• Simulations of weak gravitational lensing
• Patterns in the weak shear 3-point correlation function
• Higher-order moments of the lensing shear and other spin two fields
• The consequences of parity symmetry for higher-order statistics of cosmic shear and other polar fields
• The Three-Point Correlation Function for Spin-2 Fields
• Constraining Dark Energy Evolution with Gravitational Lensing by Large Scale Structures
• Halo asphericity and the shear 3-pt function

Cited by in corpus (7)

• Cosmology with cosmic shear observations: a review
• Dark matter clustering: a simple renormalization group approach
• Optimal capture of non-Gaussianity in weak lensing surveys: power spectrum, bispectrum and halo counts
• Euclid: Reconstruction of Weak Lensing mass maps for non-Gaussianity studies
• ASKI: full-sky lensing map making algorithms
• Modeling of weak lensing statistics. II. Configuration-space statistics
• Dark Energy Survey Year 3 Results: Three-Point Shear Correlations and Mass Aperture Moments