A New Algorithm for Computing Statistics of Weak Lensing by Large-Scale Structure

Abstract

We describe an efficient algorithm for calculating the statistics of weak lensing by large-scale structure based on a tiled set of independent particle-mesh N-body simulations which telescope in resolution along the line of sight. This efficiency allows us to predict not only the mean properties of lensing observables such as the power spectrum, skewness and kurtosis of the convergence, but also their sampling errors for finite fields of view, which are themselves crucial for assessing the cosmological significance of observations. We find that the nongaussianity of the distribution substantially increases the sampling errors for the skewness and kurtosis in the several to tens of arcminutes regime, whereas those for the power spectrum are only fractionally increased even out to wavenumbers where shot noise from the intrinsic ellipticities of the galaxies will likely dominate the errors.

12 pages, 13 figures; minor changes reflect accepted version

Cited by in corpus (128)

• Weak Gravitational Lensing
• Detection of Weak Gravitational Lensing by Large-scale Structure
• Cosmology with cosmic shear observations: a review
• Weak Gravitational Lensing by Large-Scale Structure
• Systematic Errors in Future Weak Lensing Surveys: Requirements and Prospects for Self-Calibration
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• Effects of Baryons and Dissipation on the Matter Power Spectrum
• Ray-tracing through the Millennium Simulation: Born corrections and lens-lens coupling in cosmic shear and galaxy-galaxy lensing
• Spin induced galaxy alignments and their implications for weak lensing measurements
• Effect of Photometric Redshift Uncertainties on Weak Lensing Tomography
• Joint Galaxy-Lensing Observables and the Dark Energy
• B-modes in cosmic shear from source redshift clustering
• Weak Lensing and Dark Energy
• Analysis of two-point statistics of cosmic shear: I. Estimators and covariances
• Dark Synergy: Gravitational Lensing and the CMB
• Hydrodynamic Simulations of the Sunyaev-Zel'dovich effect(s)
• Super-Sample Covariance in Simulations
• Power Spectrum Covariance of Weak Gravitational Lensing
• Finding the Electromagnetic Counterparts of Cosmological Standard Sirens
• PTHalos: A fast method for generating mock galaxy distributions
• The MICE Grand Challenge Lightcone Simulation III: Galaxy lensing mocks from all-sky lensing maps
• Simulations of Wide-Field Weak Lensing Surveys I: Basic Statistics and Non-Gaussian Effects
• Large scale bias and stochasticity of halos and dark matter
• The Impact of Non-Gaussian Errors on Weak Lensing Surveys
• Lensed CMB power spectra from all-sky correlation functions
• The onion universe: all sky lightcone simulations in spherical shells
• Probing Cosmology with Weak Lensing Peak Counts
• On using angular cross-correlations to determine source redshift distributions
• Information content of weak lensing power spectrum and bispectrum: including the non-Gaussian error covariance matrix
• Simulating weak lensing by large scale structure
• Suppressing the contribution of intrinsic galaxy alignments to the shear two-point correlation function
• Cosmic Shear and Power Spectrum Normalization with the Hubble Space Telescope
• Tomography of lensing cross power spectra
• Completeness in Weak Lensing Searches for Clusters
• Shear Selected Cluster Cosmology I: Tomography and Optimal Filtering
• Theoretical Estimates of Intrinsic Galaxy Alignment
• Detection of dark matter Skewness in the VIRMOS-DESCART survey: Implications for Ω_0
• Weak Lensing Predictions at Intermediate Scales
• Power Spectra Estimation for Weak Lensing
• Hydrodynamic Simulation of the Cosmological X-ray Background
• The three-point correlation function of cosmic shear: I. The natural components
• Weak Lensing from Space III: Cosmological Parameters
• Self Calibration of Tomographic Weak Lensing for the Physics of Baryons to Constrain Dark Energy
• Numerical study of statistical properties of the lensing excursion angles
• N-Body Simulations of Alternate Gravity Models
• The Statistics of Weak Lensing at Small Angular Scales: Probability Distribution Function
• Weak Gravitational Lensing Bispectrum
• Simulations of Weak Gravitational Lensing - II : Including Finite Support Effects in Cosmic Shear Covariance Matrices
• A General Study of the Influence of Catastrophic Photometric Redshift Errors on Cosmology with Cosmic Shear Tomography
• General Requirements on Matter Power Spectrum Predictions for Cosmology with Weak Lensing Tomography
• Large-Scale Sunyaev-Zel'dovich Effect: Measuring Statistical Properties with Multifrequency Maps
• Cosmic variance of weak lensing surveys in the non-Gaussian regime
• Statistical and Systematic Errors in Measurement of Weak-Lensing Minkowski Functionals: Application to Canada-France-Hawaii Lensing Survey
• The Kurtosis of the Cosmic Shear Field
• Source-lens clustering effects on the skewness of the lensing convergence
• Weak lensing in generalized gravity theories
• Gravitational Lensing Simulations I : Covariance Matrices and Halo Catalogues
• Impact of Baryonic Processes on Weak Lensing Cosmology: Power Spectrum, Non-Local Statistics, and Parameter Bias
• Joint analysis of cluster number counts and weak lensing power spectrum to correct for the super-sample covariance
• The three dimensional power spectrum of dark and luminous matter from the VIRMOS-DESCART cosmic shear survey
• Matter Power Spectrum Covariance Matrix from the DEUS-PUR ΛCDM simulations: Mass Resolution and non-Gaussian Errors
• Isolating Geometry in Weak Lensing Measurements
• Corrective lenses for high redshift supernovae
• Simulations of weak gravitational lensing
• Simulations of Wide-Field Weak Lensing Surveys II: Covariance Matrix of Real Space Correlation Functions
• The Born and Lens-Lens Corrections to Weak Gravitational Lensing Angular Power Spectra
• Statistics of Weak Lensing at Small Angular Scales: Analytical Predictions for Lower Order Moments
• Improving the Accuracy of Cosmic Magnification Statistics
• LIGER: mock relativistic light-cones from Newtonian simulations
• Measuring Omega_0 with higher-order Quasar-Galaxy Correlations induced by Weak Lensing
• Three-Dimensional Mapping of the Dark Matter
• Current Status Of Velocity Field Surveys: A Consistency Check
• The Accuracy of Weak Lensing Simulations
• Embedding realistic surveys in simulations through volume remapping
• Effects of Unstable Dark Matter on Large-Scale Structure and Constraints from Future Surveys
• Higher-order moments of the lensing shear and other spin two fields
• SUNGLASS: A new weak lensing simulation pipeline
• Information Content in the Galaxy Angular Power Spectrum from the Sloan Digital Sky Survey and Its Implication on Weak Lensing Analysis
• Denoising Weak Lensing Mass Maps with Deep Learning
• Implication of Omega_m through the Morphological Analysis of Weak Lensing Fields
• The covariance of cosmic shear correlation functions and cosmological parameter estimates using redshift information
• Cosmological test of gravity using weak lensing voids
• Using Weak Lensing to find Halo Masses
• Consistent beta values from density-density and velocity-velocity comparisons
• Modeling peculiar velocities of dark matter halos
• Comparison of the ENEAR Peculiar Velocities with the PSCz Gravity Field
• ICE-COLA: fast simulations for weak lensing observables
• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• Power Spectrum Shape from Peculiar Velocity Data
• Optimal Weak Lensing Skewness Measurements
• Catastrophic Photo-z Errors and the Dark Energy Parameter Estimates with Cosmic Shear
• Weak lensing statistics from the Coyote Universe
• Investigating Cluster Astrophysics and Cosmology with Cross-Correlation of the Thermal Sunyaev-Zel'dovich Effect and Weak Lensing
• Weak lensing by galaxy troughs with modified gravity
• A fitting formula for the non-Gaussian contribution to the lensing power spectrum covariance
• Fast Generation of Covariance Matrices for Weak Lensing
• The imprint of $f(R)$ gravity on weak gravitational lensing I: Connection between observables and large scale structure
• Weak lensing and dark energy: the impact of dark energy on nonlinear dark matter clustering
• The Influence of Galaxy Formation Physics on Weak Lensing Tests of General Relativity
• Gravitational Lensing with Three-Dimensional Ray Tracing
• RAY-RAMSES: a code for ray tracing on the fly in N-body simulations
• Analytical Predictions for Statistics of Cosmic Shear: Tests Against Simulations
• A Semi-analytic Ray-tracing Algorithm for Weak Lensing
• Weak Gravitational Lensing as a Method to Constrain Unstable Dark Matter
• Covariance in the Thermal SZ-Weak Lensing Mass Scaling Relation of Galaxy Clusters
• Weak Lensing of the CMB: Power Spectrum Covariance
• Probing Primordial Non-Gaussianity with Weak Lensing Minkowski Functionals
• Effect of Mask Regions on Weak Lensing Statistics
• On the Rees-Sciama effect: maps and statistics
• BeppoSAX observation of the cluster Abell 970
• Retrieving the three-dimensional matter power spectrum and galaxy biasing parameters from lensing tomography
• The cosmic shear three-point functions
• Rotation in Gravitational Lenses
• CMB maps lensed by cosmological structures: Simulations and statistical analysis
• Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion
• Cosmic shear statistics in cosmologies with non-Gaussian initial conditions
• Weighing the Light Gravitino Mass with Weak Lensing Surveys
• Thawing k-essence dark energy in the PAge space
• Complementarity of Future Dark Energy Probes
• Multi-Component Decomposition of Cosmic Infrared Background Fluctuations
• Estimating small angular scale CMB anisotropy with high resolution N-body simulations: weak lensing
• Weak gravitational lensing as a probe of physical properties of substructures in dark matter halos
• CMB anisotropy: deviations from Gaussianity due to non-linear gravity
• Non-Gaussian Signatures in the Lens Deformations of the CMB Sky. A New Ray-Tracing Procedure
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
• Testing the Origin of the CMB Large-Angle Correlation Deficit with a Galaxy Imaging Survey
• Probing the shape and internal structure of dark matter halos with the halo-shear-shear three-point correlation function
• Neural style transfer of weak lensing mass maps