The Weak Lensing Peak Statistics in the Mocks by the inverse-Gaussianization Method

Abstract

We apply the inverse-Gaussianization method proposed in \citealt{arXiv:1607.05007} to fast produce weak lensing convergence maps and investigate the peak statistics, including the peak height counts and peak steepness counts, in these mocks. We find that the distribution of peak height and steepness is in good agreement with the simulation. The difference is $\lesssim 20\%$ for these peak statistics in the maps at source redshift $z_s=1$. Besides, the loss of off-diagonal elements in peak covariance motivates us to consider the super sample variance in weak lensing peak statistics. We propose correction methods to effectively recover the (anti-)correlation among different bins by adding scatters in the mean value of these mocks. Finally, as an example of the application, we adopt the improved inverse-Gaussianization method with the above improvement to fast generate 40,000 mocks to calculate precision matrices between the power spectrum and peak statistics.

References in corpus (19)

• Cosmology with Weak Lensing Surveys
• KiDS-450: The tomographic weak lensing power spectrum and constraints on cosmological parameters
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics-I: Inference from Analytical Prediction of High Signal-to-Noise Ratio Convergence Peaks
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Cosmic variance of weak lensing surveys in the non-Gaussian regime
• Generating Log-normal Mock Catalog of Galaxies in Redshift Space
• Cosmological constraints with weak lensing peak counts and second-order statistics in a large-field survey
• Information Content in the Galaxy Angular Power Spectrum from the Sloan Digital Sky Survey and Its Implication on Weak Lensing Analysis
• ICE-COLA: fast simulations for weak lensing observables
• Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization
• The Weak Lensing Bispectrum Induced By Gravity
• Statistical connection of peak counts to power spectrum and moments in weak lensing field
• Fast generation of weak lensing maps by the inverse-Gaussianization method
• Perturbative Gaussianizing transforms for cosmological fields

Cited by in corpus (4)

• Galaxy Formation and Reionization: Key Unknowns and Expected Breakthroughs by the James Webb Space Telescope
• SMBH Seeds from Dissipative Dark Matter
• Minkowski Functionals of CMB polarisation intensity with Pynkowski: theory and application to Planck and future data
• Box Replication Effects in Weak Lensing Light-cone Construction