Weak lensing power spectrum reconstruction by counting galaxies.-- II: Improving the ABS method with the shift parameter

Abstract

In paper I of this series (Yang et al. 2017, ApJ), we proposed an analytical method of blind separation ({\bf ABS}) to extract the cosmic magnification signal in galaxy number distribution and reconstruct the weak lensing power spectrum. Here we report a new version of the ABS method, with significantly improved performance. This version is characterized by a shift parameter $\mathcal{S}$, with the special case of $\mathcal{S}=0$ corresponding to the original ABS method. We have tested this new version, compared to the previous one, and confirmed its supreme performance in all investigated situations. Therefore it supersedes the previous version. The proof of concept studies presented in this paper demonstrate that it may enable surveys such as LSST and SKA to reconstruct the lensing power spectrum at $z\simeq 1$ with $1\%$ accuracy. We will test with more realistic simulations to verify its applicability in real data.

arXiv comment4 pages, 5 figures. Accepted to ApJ

References in corpus (5)

• Weak Gravitational Lensing
• Mapping dark matter with cosmic magnification
• Weak lensing reconstruction through cosmic magnification I: a minimal variance map reconstruction
• Weak lensing reconstruction through cosmic magnification. II. Improved power spectrum determination and map-making
• Weak lensing power spectrum reconstruction by counting galaxies.-- I: the ABS method

Cited by in corpus (5)

• Detection of Cosmic Magnification via Galaxy Shear -- Galaxy Number Density Correlation from HSC Survey Data
• A method of weak lensing reconstruction through cosmic magnification with multi-band photometry information
• Weak Lensing Magnification Reconstruction with the Modified Internal Linear Combination Method
• Challenges in Cosmic Magnification Reconstruction by Magnification Response
• Weak Lensing Reconstruction by Counting DECaLS Galaxies