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Weak lensing trispectrum and Kurt-spectra

Munshi, Dipak; Lee, Hayden; Dvorkin, Cora; McEwen, Jason D; (2022) Weak lensing trispectrum and Kurt-spectra. Journal of Cosmology and Astroparticle Physics , 2022 (11) , Article 020. 10.1088/1475-7516/2022/11/020. Green open access

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Abstract

We introduce two kurt-spectra to probe fourth-order statistics of weak lensing convergence maps. Using state-of-the-art numerical simulations, we study the shapes of these kurt-spectra as a function of source redshifts and smoothing angular scales. We employ a pseudo-Cℓ approach to estimate the spectra from realistic convergence maps in the presence of an observational mask and noise for stage-IV large-scale structure surveys. We compare these results against theoretical predictions calculated using the FFTLog formalism, and find that a simple nonlinear clustering model — the hierarchical ansatz — can reproduce the numerical trends for the kurt-spectra in the nonlinear regime. In addition, we provide estimators for beyond fourth-order spectra where no definitive analytical results are available, and present corresponding results from numerical simulations.

Type: Article
Title: Weak lensing trispectrum and Kurt-spectra
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1475-7516/2022/11/020
Publisher version: http://dx.doi.org/10.1088/1475-7516/2022/11/020
Language: English
Additional information: © The Authors 2023. 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 (http://creativecommons.org/licenses/by/4.0).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
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
URI: https://discovery.ucl.ac.uk/id/eprint/10189195
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