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Position-dependent correlation function of weak-lensing convergence

Munshi, D; Jung, G; Kitching, TD; McEwen, J; Liguori, M; Namikawa, T; Heavens, A; (2023) Position-dependent correlation function of weak-lensing convergence. Physical Review D , 107 (4) , Article 043516. 10.1103/PhysRevD.107.043516. Green open access

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We provide a systematic study of the position-dependent correlation function in weak-lensing convergence maps and its relation to the squeezed limit of the three-point correlation function (3PCF) using state-of-the-art numerical simulations. We relate the position-dependent correlation function to its harmonic counterpart, i.e., the position-dependent power spectrum or equivalently the integrated bispectrum (IB). We use a recently proposed improved fitting function, BiHalofit, for the bispectrum to compute the theoretical predictions as a function of source redshifts. In addition to low redshift results (zs=1.0-2.0) we also provide results for maps inferred from lensing of the cosmic microwave background (CMB), i.e., zs=1100. We include a Euclid-type realistic survey mask and noise. In agreement with the recent studies on the position-dependent power spectrum, we find that the results from simulations are consistent with the theoretical expectations when appropriate corrections are included. Performing a rough estimate, we find that the signal-to-noise (S/N) for the detection of position-dependent correlation function from Euclid-type mask with fsky=0.35, can range between 6-12 depending on the value of the intrinsic ellipticity distribution parameter σϵ=0.3-1.0. For reconstructed κ maps using an ideal CMB survey the S/N≈1.8. We also found that a 10% deviation in σ8 can be detected using IB for the optimistic case of σϵ=0.3 with a S/N≈5. The S/N for such detection in case of ωM is lower.

Type: Article
Title: Position-dependent correlation function of weak-lensing convergence
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.107.043516
Publisher version: http://dx.doi.org/10.1103/PhysRevD.107.043516
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: astro-ph.CO, astro-ph.CO
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/10165837
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