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@article{Loureiro:2023:10.21105/astro.2210.13260,
author = {Loureiro, A and Whiteaway, L and Sellentin, E and Lafaurie, JS and Jaffe, AH and Heavens, AF},
doi = {10.21105/astro.2210.13260},
journal = {The Open Journal of Astrophysics},
pages = {1--18},
title = {Almanac: Weak Lensing power spectra and map inference on the masked sphere},
url = {http://dx.doi.org/10.21105/astro.2210.13260},
volume = {6},
year = {2023}
}

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TY  - JOUR
AB  - We present a field-based signal extraction of weak lensing from noisy observations on the curved and masked sky. We test the analysis on a simulated Euclid-like survey, using a Euclid-like mask and noise level. To make optimal use of the information available in such a galaxy survey, we present a Bayesian method for inferring the angular power spectra of the weak lensing fields, together with an inference of the noise-cleaned tomographic weak lensing shear and convergence (projected mass) maps. The latter can be used for field-level inference with the aim of extracting cosmological parameter information including non-gaussianity of cosmic fields. We jointly infer all-sky E-mode and B-mode tomographic auto- and cross-power spectra from the masked sky, and potentially parity-violating EB-mode power spectra, up to a maximum multipole of max=2048. We use Hamiltonian Monte Carlo sampling, inferring simultaneously the power spectra and denoised maps with a total of ∼16.8 million free parameters. The main output and natural outcome is the set of samples of the posterior, which does not suffer from leakage of power from E to B unless reduced to point estimates. However, such point estimates of the power spectra, the mean and most likely maps, and their variances and covariances, can be computed if desired.
AU  - Loureiro,A
AU  - Whiteaway,L
AU  - Sellentin,E
AU  - Lafaurie,JS
AU  - Jaffe,AH
AU  - Heavens,AF
DO  - 10.21105/astro.2210.13260
EP  - 18
PY  - 2023///
SN  - 2565-6120
SP  - 1
TI  - Almanac: Weak Lensing power spectra and map inference on the masked sphere
T2  - The Open Journal of Astrophysics
UR  - http://dx.doi.org/10.21105/astro.2210.13260
UR  - https://astro.theoj.org/article/70246-almanac-weak-lensing-power-spectra-and-map-inference-on-the-masked-sphere
UR  - http://hdl.handle.net/10044/1/102127
VL  - 6
ER  -

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