Robust and efficient CMB lensing power spectrum from polarization surveys

Abstract

Deep surveys of the CMB polarization have more information on the lensing signal than the quadratic estimators (QE) can capture. We showed in a recent work that a CMB lensing power spectrum built from a single optimized CMB lensing mass map, working in close analogy to state-of-the-art QE techniques, can result in an essentially optimal spectrum estimator at reasonable numerical cost. We extend this analysis here to account for real-life non-idealities including masking and realistic instrumental noise maps. As in the QE case, it is necessary to include small corrections to account for the estimator response to these anisotropies, which we demonstrate can be estimated easily from simulations. The realization-dependent debiasing of the spectrum remains robust, allowing unbiased recovery of the band powers even in cases where the statistical model used for the lensing map reconstruction is grossly wrong. This allows now robust and at the same time optimal CMB lensing constraints from CMB data, on all scales relevant for the inference of the neutrino mass, or other parameters of our cosmological model.

arXiv comment12 pages, 9 figures

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• Cosmology From CMB Lensing and Delensed EE Power Spectra Using 2019-2020 SPT-3G Polarization Data
• CMB-S4: Iterative Internal Delensing and $r$ Constraints
• Cluster profiles from beyond-the-QE CMB lensing mass maps
• Impact of Galactic non-Gaussian foregrounds on CMB lensing measurements
• Characterizing CMB noise anisotropies from CMB delensing
• Running the small-correlated-against-large estimator at scale: Applications of small-scale CMB lensing estimators on realistic simulations