تقرير
Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
| العنوان: | Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity |
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| المؤلفون: | Munshi, D., McEwen, J. D. |
| سنة النشر: | 2020 |
| المجموعة: | Astrophysics General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology |
| الوصف: | 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. Comment: 22 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1093/mnras/staa2706 |
| URL الوصول: | http://arxiv.org/abs/2004.07021 |
| رقم الأكسشن: | edsarx.2004.07021 |
| قاعدة البيانات: | arXiv |
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