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GL2 - Statistics and Geometry of Weak Lensing Data

Speaker

Wandelt, Benjamin

Coauthors

Anderes, Ethan; Lavaux, Guilhem

Talk Title

Beyond The Quadratic Estimator - Efficient Weak Lensing Inference For The Cosmic Microwave Background

Abstract

It is well-known that the cosmic mass distribution lenses the cosmic microwave background anisotropies. The standard methodology for extracting this signal from the CMB map uses an estimator based on quadratic combinations of the pixels. This estimator is known to be sub-optimal in the case of high S/N data -- the relevant regime for the next generation of CMB experiments that go after lensing B-modes either to exploit them scientifically or to remove them in the search for primordial gravitational waves. We show how to circumvent the main problem that has prevented an efficient, principled Bayesian approach so far and demonstrate the feasibility and optimality of a full statistical analysis using simulated skys.

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