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The self similarity of weak lensing peaks.

Davies, Christopher T. and Cautun, Marius and Li, Baojiu (2019) 'The self similarity of weak lensing peaks.', Monthly notices of the Royal Astronomical Society., 488 (4). pp. 5833-5851.


We study the statistics of weak lensing convergence peaks, such as their abundance and two-point correlation function (2PCF), for a wide range of cosmological parameters Ωm and σ8 within the standard ΛCDM paradigm, focusing on intermediate-height peaks with signal-to-noise ratio (SNR) of 1.5 to 3.5. We find that the cosmology dependence of the peak abundance can be described by a one-parameter fitting formula that is accurate to within ∼3%. The peak 2PCFs are shown to feature a self-similar behaviour: if the peak separation is rescaled by the mean inter-peak distance, catalogues with different minimum peak SNR values have identical clustering, which suggests that the peak abundance and clustering are closely interconnected. A simple fitting model for the rescaled 2PCF is given, which together with the peak abundance model above can predict peak 2PCFs with an accuracy better than ∼5%. The abundance and 2PCFs for intermediate peaks have very different dependencies on Ωm and σ8, implying that their combination can be used to break the degeneracy between these two parameters.

Item Type:Article
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Publisher statement:This article has been accepted for publication in the Monthly notices of the Royal Astronomical Society ©: 2019 The Author(s). Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
Date accepted:30 July 2019
Date deposited:13 August 2019
Date of first online publication:08 August 2019
Date first made open access:No date available

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