Density mapping with weak lensing and phase information

Abstract

The available probes of the large scale structure in the Universe have distinct properties: galaxies are a high resolution but biased tracer of mass, while weak lensing avoids such biases but, due to low signal-to-noise ratio, has poor resolution. We investigate reconstructing the projected density field using the complementarity of weak lensing and galaxy positions. We propose a maximum-probability reconstruction of the 2D lensing convergence with a likelihood term for shear data and a prior on the Fourier phases constructed from the galaxy positions. By considering only the phases of the galaxy field, we evade the unknown value of the bias and allow it to be calibrated by lensing on a mode-by-mode basis. By applying this method to a realistic simulated galaxy shear catalogue, we find that a weak prior on phases provides a good quality reconstruction down to scales beyond l=1000, far into the noise domain of the lensing signal alone.

11 pages, 9 figures, published in MNRAS

References in corpus (4)

• The Connection between Galaxies and Dark Matter Structures in the Local Universe
• Cosmology with Weak Lensing Surveys
• The COSMOS Density Field: A Reconstruction Using Both Weak Lensing and Galaxy Distributions
• A New Approach to the Optimal Target Selection Problem

Cited by in corpus (14)

• Cosmology with cosmic shear observations: a review
• Past and present cosmic structure in the SDSS DR7 main sample
• Two- and three-dimensional wide-field weak lensing mass maps from the Hyper Suprime-Cam Subaru Strategic Program S16A data
• Galaxy-Galaxy Lensing in the DES Science Verification Data
• Orientation Bias of Optically Selected Galaxy Clusters and Its Impact on Stacked Weak Lensing Analyses
• Measuring galaxy environments in large scale photometric surveys
• ADDGALS: Simulated Sky Catalogs for Wide Field Galaxy Surveys
• Efficient Optimal Reconstruction of Linear Fields and Band-powers from Cosmological Data
• Bayesian weak lensing tomography: Reconstructing the 3D large-scale distribution of matter with a lognormal prior
• Three-point phase correlations: A new measure of non-linear large-scale structure
• Mapping dark matter on the celestial sphere with weak gravitational lensing
• Probing redshift-space distortions with phase correlations
• Obtaining non-linear galaxy bias constraints from galaxy-lensing phase differences
• Reconstructing the velocity field beyond the local universe