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A new estimator for phase statistics

Munshi, D; Takahashi, R; McEwen, JD; Kitching, TD; Bouchet, FR; (2022) A new estimator for phase statistics. Journal of Cosmology and Astroparticle Physics , 2022 (5) , Article 6. 10.1088/1475-7516/2022/05/006. Green open access

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Abstract

We introduce a novel statistic to probe the statistics of phases of Fourier modes in two-dimensions (2D) for weak lensing convergence field κ. This statistic contains completely independent information compared to that contained in observed power spectrum. We compare our results against state-of-the-art numerical simulations as a function of source redshift and find good agreement with theoretical predictions. We show that our estimator can achieve better signal-to-noise compared to the commonly employed statistics known as the line correlation function (LCF). Being a two-point statistics, our estimator is also easy to implement in the presence of complicated noise and mask, and can also be generalised to higher-order. While applying this estimator for the study of lensed CMB maps, we show that it is important to include post-Born corrections in the study of statistics of phase.

Type: Article
Title: A new estimator for phase statistics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1475-7516/2022/05/006
Publisher version: http://dx.doi.org/10.1088/1475-7516/2022/05/006
Language: English
Additional information: Published by IOP Publishing Ltd on behalf of Sissa Medialab. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Keywords: gravitational lensing, non-gaussianity
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10149481
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