Statistical connection of peak counts to power spectrum and moments in weak lensing field

Abstract

The number density of local maxima of weak lensing field, referred to as weak-lensing peak counts, can be used as a cosmological probe. However, its relevant cosmological information is still unclear. We study the relationship between the peak counts and other statistics in weak lensing field by using 1000 ray-tracing simulations. We construct a local transformation of lensing field $\mathcal{K}$ to a new Gaussian field $y$, named local-Gaussianized transformation. We calibrate the transformation with numerical simulations so that the one-point distribution and the power spectrum of $\mathcal{K}$ can be reproduced from a single Gaussian field $y$ and monotonic relation between $y$ and $\mathcal{K}$. Therefore, the correct information of two-point clustering and any order of moments in weak lensing field should be preserved under local-Gaussianized transformation. We then examine if local-Gaussianized transformation can predict weak-lensing peak counts in simulations. The local-Gaussianized transformation is insufficient to explain weak-lensing peak counts in the absence of shape noise. The prediction by local-Gaussianized transformation underestimates the simulated peak counts with a level of $\sim 20-30\%$ over a wide range of peak heights. Local-Gaussianized transformation can predict the weak-lensing peak counts with a $\sim 10\%$ accuracy in the presence of shape noise. Our analyses suggest that the cosmological information beyond power spectrum and its moments would be necessary to predict the weak-lensing peak counts with a percent-level accuracy, which is an expected statistical uncertainty in upcoming wide-field galaxy surveys.

arXiv comment10 pages, 5 figures, accepted for publication in MNRAS

References in corpus (54)

• Weak Gravitational Lensing
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Cosmology with cosmic shear observations: a review
• CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey - Imaging Data and Catalogue Products
• Dark matter maps reveal cosmic scaffolding
• Detection of (dark) matter concentrations via weak gravitational lensing
• Cosmology with the shear-peak statistics
• Simulations of Wide-Field Weak Lensing Surveys I: Basic Statistics and Non-Gaussian Effects
• Searching for massive clusters in weak lensing surveys
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data
• CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
• Probing Cosmology with Weak Lensing Peak Counts
• Noise properties of gravitational lens mass reconstruction
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• Probability Distribution Functions of Cosmological Lensing: Convergence, Shear, and Magnification
• Cosmic Shear Measurements with DES Science Verification Data
• GaBoDS: The Garching-Bonn Deep Survey -- IX. A sample of 158 shear-selected mass concentration candidates
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• Cosmological Information in Weak Lensing Peaks
• Shear Selected Cluster Cosmology I: Tomography and Optimal Filtering
• An optimal filter for the detection of galaxy clusters through weak lensing
• Detection of dark matter Skewness in the VIRMOS-DESCART survey: Implications for Ω_0
• Lognormal Property of Weak Lensing Fields
• A Subaru Weak Lensing Survey I: Cluster Candidates and Spectroscopic Verification
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• Cosmology with Minkowski functionals and moments of the weak lensing convergence field
• Weak lensing, dark matter and dark energy
• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Weak lensing measurement of galaxy clusters in the CFHTLS-Wide survey
• Scatter and bias in weak lensing selected clusters
• Impact of Baryonic Processes on Weak Lensing Cosmology: Power Spectrum, Non-Local Statistics, and Parameter Bias
• Baryon impact on weak lensing peaks and power spectrum: low-bias statistics and self-calibration in future surveys
• Optimized detection of shear peaks in weak lensing maps
• Probing cosmology with weak lensing selected clusters I: Halo approach and all-sky simulations
• On the inadequacy of N-point correlation functions to describe nonlinear cosmological fields: explicit examples and connection to simulations
• The Origin of Weak Lensing Convergence Peaks
• Cosmological constraints from Subaru weak lensing cluster counts
• Dark energy constraints from lensing-detected galaxy clusters
• Testing a new analytic model for gravitational lensing probabilities
• Wide-Field Lensing Mass Maps from DES Science Verification Data
• Measuring primordial non-Gaussianity through weak lensing peak counts
• Measuring primordial non-Gaussianity with weak-lensing surveys
• Constraining Cosmology with High Convergence Regions in Weak Lensing Surveys
• Do dark matter halos explain lensing peaks?
• Information escaping the correlation hierarchy of the convergence field in the study of cosmological parameters
• Phase Correlations in Non-Gaussian Fields
• Statistics of Fourier Modes in Non-Gaussian Fields
• The non-Gaussian tail of cosmic-shear statistics
• Effect of Measurement Errors on Predicted Cosmological Constraints from Shear Peak Statistics with LSST
• Fast generation of weak lensing maps by the inverse-Gaussianization method
• Probing cosmology with weak lensing selected clusters II: Dark energy and f(R) gravity models

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• Weak lensing by voids in weak lensing maps
• Noise reduction for weak lensing mass mapping: An application of generative adversarial networks to Subaru Hyper Suprime-Cam first-year data
• Cosmological test of gravity using weak lensing voids
• The self similarity of weak lensing peaks
• The Correspondence between Convergence Peaks from Weak Lensing and Massive Dark Matter Haloes
• Quantifying systematics from the shear inversion on weak-lensing peak counts
• The Weak Lensing Peak Statistics in the Mocks by the inverse-Gaussianization Method
• Beyond the Lognormal Approximation: a General Simulation Scheme
• On the effect of projections on convergence peak counts and Minkowski functionals
• Reconstruction of weak lensing mass maps for non-Gaussian studies in the celestial sphere
• Neural style transfer of weak lensing mass maps