The Statistics of Weak Lensing at Small Angular Scales: Probability Distribution Function
arXiv:astro-ph/9911502 · doi:10.1046/j.1365-8711.2000.03694.x
Abstract
Weak gravitational lensing surveys have the potential to directly probe mass density fluctuation in the universe. Recent studies have shown that it is possible to model the statistics of the convergence field at small angular scales by modeling the statistics of the underlying density field in the highly nonlinear regime. We propose a new method to model the complete probability distribution function of the convergence field as a function of smoothing angle and source redshift. The model relies on a hierarchical ansatz for the behavior of higher order correlations of the density field. We compare our results with ray tracing simulations and find very good agreement over a range of smoothing angles. Whereas the density probability distribution function is not sensitive to the cosmological model, the probability distribution function for the convergence can be used to constrain both the power spectrum and cosmological parameters.
16 pages including 10 figures and 1 table, MNRAS, submitted
References in corpus (4)
Cited by in corpus (65)
- Halo Models of Large Scale Structure
- Large-Scale Structure of the Universe and Cosmological Perturbation Theory
- Weak Gravitational Lensing by Large-Scale Structure
- Intrinsic and Extrinsic Galaxy Alignment
- Probability Distribution Function of Cosmological Density Fluctuations from Gaussian Initial Condition: Comparison of One- and Two-point Log-normal Model Predictions with N-body Simulations
- Probability Distribution Functions of Cosmological Lensing: Convergence, Shear, and Magnification
- Effect of lensing magnification on the apparent distribution of black hole mergers
- Lognormal Property of Weak Lensing Fields
- A universal probability distribution function for weak-lensing amplification
- Weak Gravitational Lensing Bispectrum
- Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps
- From Weak Lensing to non-Gaussianity via Minkowski Functionals
- X-ray absorption and rapid variability of the dwarf Seyfert nucleus of NGC4395
- Accurate Modeling of Weak Lensing with the sGL Method
- Observational signatures of the weak lensing magnification of supernovae
- Statistics of Weak Lensing at Small Angular Scales: Analytical Predictions for Lower Order Moments
- New Optimised Estimators for the Primordial Trispectrum
- Accurate weak lensing of standard candles. I. Flexible cosmological fits
- Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
- Large-scale inhomogeneities may improve the cosmic concordance of supernovae
- Constraining Cosmology with High Convergence Regions in Weak Lensing Surveys
- Weak Lensing Observables in the Halo Model
- Weak lensing and the Dyer-Roeder approximation
- Cosmology from weak lensing peaks and minima with Subaru Hyper Suprime-Cam survey first-year data
- Weak lensing shear and aperture-mass from linear to non-linear scales
- Increasing the Lensing Figure of Merit through Higher Order Convergence Moments
- The Weak Lensing Bispectrum Induced By Gravity
- Higher Order Statistics for Three-dimensional Shear and Flexion
- Cosmology with Standard Sirens: the Importance of the Shape of the Lensing Magnification Distribution
- Cylinders out of a top hat: counts-in-cells for projected densities
- How Sensitive Are Weak Lensing Statistics to Dark Energy Content?
- From linear to non-linear scales: analytical and numerical predictions for the weak lensing convergence
- Error Estimates for Measurements of Cosmic Shear
- Analytical Predictions for Statistics of Cosmic Shear: Tests Against Simulations
- Higher-order Convergence Statistics for Three-dimensional Weak Gravitational Lensing
- Higher-order Statistics of Weak Lensing Shear and Flexion
- Raytracing simulations of coupled dark energy models
- Utilizing Type Ia Supernovae in a Large, Fast, Imaging Survey to Constrain Dark Energy
- On the estimation of gravity-induced non-Gaussianities from weak lensing surveys
- Large deviations theory approach to cosmic shear calculations: the one-point aperture mass
- Tomography and Weak lensing Statistics
- Post-Born corrections to the one-point statistics of (CMB) lensing convergence obtained via large deviation theory
- Cosmic Statistics through Weak Lenses
- Statistical Properties of Thermal Sunyaev-Zel'dovich Maps
- Weak Lensing Skew-Spectrum
- Estimating the Integrated Bispectrum from Weak Lensing Maps
- Gravitational Wave Sirens as a Triple Probe of Dark Energy
- Morphology of Weak Lensing Convergence Maps
- Cross-correlating Sunyaev-Zel'dovich and Weak Lensing Maps
- Forecasts of cosmological constraints from Type Ia supernovae including the weak-lensing convergence
- Non-Gaussian Tails of Cosmological Density Distribution Function from Dark Halo Approach
- Cosmological model differentiation through weak gravitational lensing
- Weak Lensing Trispectrum and Kurt-Spectra
- The importance of the cosmic web and halo substructure for power spectra
- Reconstructing the Thermal Sunyaev-Zel'dovich Effect in 3D
- Covariance of Weak Lensing Observables
- Reduced convergence and the local smoothness parameter: bridging two different descriptions of weak lensing amplification
- On Cross-correlating Weak Lensing Surveys
- Position-Dependent Correlation Function of Weak Lensing Convergence
- Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
- Forecasting Cosmological Constraints from the Weak Lensing Magnification of Type Ia Supernovae Measured by the Nancy Grace Roman Space Telescope
- Cosmological constraints from HSC Y1 lensing convergence PDF
- The Statistics of Cosmological Lyman-alpha Absorption
- Replicating weak-lensing summary-statistic covariances with normalizing flows
- Probing the Dark Side of Gravitational Clustering: Weak Lensing Statistics at Large Smoothing Angle