UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity

Munshi, D; McEwen, JD; (2020) Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity. Monthly Notices of the Royal Astronomical Society , 498 (4) pp. 5299-5316. 10.1093/mnras/staa2706. Green open access

[thumbnail of staa2706.pdf]
Preview
Text
staa2706.pdf - Published Version

Download (1MB) | Preview

Abstract

We compute the low-$\ell$ limit of the family of higher-order spectra for projected (2D) weak lensing convergence maps. In this limit, these spectra are computed to an arbitrary order using {\em tree-level} perturbative calculations. We use the flat-sky approximation and Eulerian perturbative results based on a generating function approach. We test these results for the lower-order members of this family, i.e. the skew- and kurt-spectra against state-of-the-art simulated all-sky weak lensing convergence maps and find our results to be in very good agreement. We also show how these spectra can be computed in the presence of a realistic sky-mask and Gaussian noise. We generalize these results to three-dimensions (3D) and compute the {\em equal-time} higher-order spectra. These results will be valuable in analyzing higher-order statistics from future all-sky weak lensing surveys such as the {\em Euclid} survey at low-$\ell$ modes. As illustrative examples, we compute these statistics in the context of the {\em Horndeski} and {\em Beyond Horndeski} theories of modified gravity. They will be especially useful in constraining theories such as the Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories and Degenerate Higher-Order Scalar-Tensor (DHOST) theories as well as the commonly used normal-branch of Dvali-Gabadadze-Porrati (nDGP) model, clustering quintessence models, and scenarios with massive neutrinos.

Type: Article
Title: Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/mnras/staa2706
Publisher version: http://dx.doi.org/10.1093/mnras/staa2706
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: gravitational lensing: weak, cosmology: theory, large-scale structure of Universe
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/10112300
Downloads since deposit
35Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item