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Lensing reconstruction with CMB temperature and polarization

2003/02/25 by Michael Kesden, Asantha Cooray, Marc Kamionkowski · 3 citations
Mathematics · Physics and Astronomy · #Anisotropy #Astrophysics #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmic variance #Cosmology and Gravitation Theories #Covariance #Estimator #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gravitational lens #Gravitational lensing formalism #Lambda #Mathematics #Optics #Physics #Planck #Polarization (electrochemistry) #Redshift #Sky #Spectral density #Statistical physics #Statistics #Strong gravitational lensing #Weak gravitational lensing #astro-ph

paper · pdf · doi:10.1103/physrevd.67.123507

published as Phys.Rev. D67 (2003) 123507 · 15 pages, 3 figures, submitted to PRD

arxiv created 2003/02/25 · openalex publication_date 2003/06/11 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Weak gravitational lensing by an intervening large-scale structure induces a distinct signature in the cosmic microwave background (CMB) that can be used to reconstruct the weak-lensing displacement map. Estimators for individual Fourier modes of this map can be combined to produce an estimator for the lensing-potential power spectrum. The naive estimator for this quantity will be biased upwards by the uncertainty associated with reconstructing individual modes; we present an iterative scheme for removing this bias. The variance and covariance of the lensing-potential power spectrum estimator are calculated and evaluated numerically in a \ensuremathΛCDM universe for Planck and future polarization-sensitive CMB experiments.

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