A method of weak lensing reconstruction through cosmic magnification with multi-band photometry information

Abstract

Weak gravitational lensing induces flux dependent fluctuations in the observed galaxy number density distribution. This cosmic magnification (magnification bias) effect in principle enables lensing reconstruction alternative to cosmic shear and CMB lensing. However, the intrinsic galaxy clustering, which otherwise overwhelms the signal, has hindered its application. Through a scaling relation found by principal component analysis of the galaxy clustering in multi-band photometry space, we design a minimum variance linear estimator to suppress the intrinsic galaxy clustering and to reconstruct the lensing convergence map. In combination of the CosmoDC2 galaxy mock and the CosmicGrowth simulation, we test this proposal for a LSST-like galaxy survey with $ugrizY$ photometry bands. The scaling relation holds excellently at multipole $\ell <10^3$, and remains reasonably well to $\ell \sim 3000$. The linear estimator efficiently suppresses the galaxy intrinsic clustering, by a factor of $\sim 10^2$. For galaxies in the photo-z range $0.8<z_{\kappa }<1.2$, the reconstructed convergence map is cosmic variance limited per $\ell$ mode at $\ell <10^2$, and shot noise limited at $\ell >=200$. Its cross-correlation with cosmic shear of galaxies can achieve $S/N>=200$. When the source redshift of cosmic shear galaxies $z_{\gamma }<z_{\kappa }$, the systematic error is negligible at all investigated scales ($\ell <3000$). When $z_{\gamma }\ge z_{\kappa }$, the systematic error caused by the residual intrinsic galaxy clustering becomes non-negligible. We discuss possible mitigation of the residual intrinsic galaxy clustering required for accurate measurement at $\ell >10^3$. This work further demonstrates the potential of lensing measurement through cosmic magnification to enhance the weak lensing cosmology.

arXiv comment9 pages, 12 figures, accepted to MNRAS

References in corpus (43)

• Efficient Computation of CMB anisotropies in closed FRW models
• Observational Probes of Cosmic Acceleration
• Planck 2018 results. VIII. Gravitational lensing
• Weak Gravitational Lensing by Large-Scale Structure
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Weak Gravitational Lensing and its Cosmological Applications
• Cosmology from the Chinese Space Station Optical Survey (CSS-OS)
• Power Spectrum Super-Sample Covariance
• Detection of Cosmic Magnification with the Sloan Digital Sky Survey
• Measuring the galaxy-mass and galaxy-dust correlations through magnification and reddening
• The Impact of Non-Gaussian Errors on Weak Lensing Surveys
• Minimizing the stochasticity of halos in large-scale structure surveys
• An algorithm for the direct reconstruction of the dark matter correlation function from weak lensing and galaxy clustering
• CosmoDC2: A Synthetic Sky Catalog for Dark Energy Science with LSST
• The Outer Rim Simulation: A Path to Many-Core Supercomputers
• CARS: The CFHTLS-Archive-Research Survey III. First detection of cosmic magnification in samples of normal high-z galaxies
• Observational evidence for stochastic biasing
• A Detection of Weak Lensing Magnification using Galaxy Sizes and Magnitudes
• Cosmology with the Large Synoptic Survey Telescope: an Overview
• Inferring the mass of sub-millimetre galaxies by exploiting their gravitational magnification of background galaxies
• Euclid preparation: XIX. Impact of magnification on photometric galaxy clustering
• Mapping dark matter with cosmic magnification
• CMB anisotropy power spectrum using linear combinations of WMAP maps
• CosmicGrowth Simulations---Cosmological simulations for structure growth studies
• Dark Energy Survey Year 3 results: Magnification modeling and impact on cosmological constraints from galaxy clustering and galaxy-galaxy lensing
• HerMES: detection of cosmic magnification of sub-mm galaxies using angular cross-correlation
• Halo stochasticity in global clustering analysis
• Magnification bias in galaxy surveys with complex sample selection functions
• Magnification effects as measures of large-scale structure
• Weak lensing magnification in the Dark Energy Survey Science Verification Data
• Herschel-ATLAS/GAMA: SDSS cross-correlation induced by weak lensing
• Weak lensing reconstruction through cosmic magnification I: a minimal variance map reconstruction
• Cosmology with the sub-millimetre galaxies magnification bias: Tomographic Analysis
• Magnification as a Tool in Weak Lensing
• Cosmological constraints with the sub-millimetre galaxies Magnification Bias after large scale bias corrections
• A new estimator for gravitational lensing using galaxy and intensity mapping surveys
• Detection of Cosmic Magnification via Galaxy Shear -- Galaxy Number Density Correlation from HSC Survey Data
• 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
• Principal Component Analysis of Galaxy Clustering in Hyperspace of Galaxy Properties
• A Statistical Analysis of the "Internal Linear Combination" Method in Problems of Signal Separation as in CMB Observations
• Weak lensing power spectrum reconstruction by counting galaxies.-- II: Improving the ABS method with the shift parameter
• Weak Lensing Magnification Reconstruction with the Modified Internal Linear Combination Method

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