Re-capturing cosmic information
arXiv:1008.0349 · doi:10.1088/2041-8205/729/1/L11
Abstract
Gravitational lensing of distant galaxies can be exploited to infer the convergence field as a function of angular position on the sky. The statistics of this field, much like that of the cosmic microwave background (CMB), can be studied to extract information about fundamental parameters in cosmology, most notably the dark energy in the Universe. Unlike the CMB, the distribution of matter in the Universe which determines the convergence field is highly non-Gaussian, reflecting the nonlinear processes which accompanied structure formation. Much of the cosmic information contained in the initial field is therefore unavailable to the standard power spectrum measurements. Here we propose a method for re-capturing cosmic information by using the power spectrum of a simple function of the observed (nonlinear) convergence field. We adapt the approach of Neyrinck et al. (2009) to lensing by using a modified logarithmic transform of the convergence field. The Fourier transform of the log-transformed field has modes that are nearly uncorrelated, which allows for additional cosmological information to be extracted from small-scale modes.
10 pages, 4 figures
References in corpus (24)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Weak Gravitational Lensing
- Cosmic Microwave Background Anisotropies
- Weak Gravitational Lensing and its Cosmological Applications
- Power Spectrum Tomography with Weak Lensing
- Cosmological parameters from lensing power spectrum and bispectrum tomography
- Ray Tracing Simulations of Weak Lensing by Large-Scale Structure
- Cosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes
- Weak Lensing and Dark Energy
- Dark Synergy: Gravitational Lensing and the CMB
- Simulations of Wide-Field Weak Lensing Surveys I: Basic Statistics and Non-Gaussian Effects
- The Impact of Non-Gaussian Errors on Weak Lensing Surveys
- Weak Lensing: Prospects for Measuring Cosmological Parameters
- Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping
- Neutrino Mass and Dark Energy from Weak Lensing
- Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
- Information content of the non-linear matter power spectrum
- Weak Lensing from Space III: Cosmological Parameters
- Information content of the non-linear power spectrum: the effect of beat-coupling to large scales
- Information content in the halo-model dark-matter power spectrum
- Information content in the halo-model dark-matter power spectrum II: Multiple cosmological parameters
- Information Content in the Galaxy Angular Power Spectrum from the Sloan Digital Sky Survey and Its Implication on Weak Lensing Analysis
- The Dark UNiverse Explorer (DUNE): Proposal to ESA's Cosmic Vision
- Precision Studies of Dark Energy with LSST
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- Simulations of Wide-Field Weak Lensing Surveys II: Covariance Matrix of Real Space Correlation Functions
- On the inadequacy of N-point correlation functions to describe nonlinear cosmological fields: explicit examples and connection to simulations
- Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
- Towards optimal cosmological parameter recovery from compressed bispectrum statistics
- The Accuracy of Weak Lensing Simulations
- Modelling large-scale halo bias using the bispectrum
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- A Synthetic Roman Space Telescope High-Latitude Imaging Survey: Simulation Suite and the Impact of Wavefront Errors on Weak Gravitational Lensing
- Optimal non-linear transformations for large scale structure statistics
- Forecasts of non-Gaussian parameter spaces using Box-Cox transformations
- Ringing the initial Universe: the response of overdensity and transformed-density power spectra to initial spikes
- Rejuvenating the Matter Power Spectrum III: The Cosmology Sensitivity of Gaussianized Power Spectra
- Sufficient observables for large scale structure in galaxy surveys
- Information escaping the correlation hierarchy of the convergence field in the study of cosmological parameters
- Weak lensing statistics from the Coyote Universe
- Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization
- KiDS-450: Enhancing cosmic shear with clipping transformations
- Non-Gaussian errors of baryonic acoustic oscillations
- Dark Energy from the log-transformed convergence field
- Removable Matter-Power-Spectrum Covariance from Bias Fluctuations
- Straightening the Density-Displacement Relation with a Logarithmic Transform
- On the total cosmological information in galaxy clustering: an analytical approach
- Fast generation of weak lensing maps by the inverse-Gaussianization method
- Interpolating Masked Weak Lensing Signal with Karhunen-Loeve Analysis
- The Information Content of Projected Galaxy Fields
- Gaussianizing the non-Gaussian lensing convergence field II: the applicability to noisy data
- Information Content in the Angular Power Spectrum of Weak Lensing: Wavelet Method
- Enhancing the Cosmic Shear Power Spectrum
- Giga-z: A 100,000 Object Superconducting Spectrophotometer for LSST Follow-up
- Optimizing the Recovery of Fisher Information in the Dark Matter Power Spectrum
- Optimizing BAO measurements with non-linear transformations of Lyman-alpha forest
- The impact of super-survey modes on cosmological constraints from cosmic shear fields
- Hybrid summary statistics: neural weak lensing inference beyond the power spectrum