Lensing Reconstruction with CMB Temperature and Polarization

Abstract

Weak gravitational lensing by 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-potenial 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-potenial power spectrum estimator are calculated and evaluated numerically in a $\Lambda$CDM universe for Planck and future polarization-sensitive CMB experiments.

15 pages, 3 figures, submitted to PRD

References in corpus (1)

• Weak Lensing of the CMB: Cumulants of the Probability Distribution Function

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