Abstract
We present the integrated three-point shear correlation function i zeta(+/-) - a higher order statistic of the cosmic shear field - which can be directly estimated in wide-area weak lensing surveys without measuring the full three-point shear correlation function, making this a practical and complementary tool to two-point statistics for weak lensing cosmology. We define it as the one-point aperture mass statistic M-ap measured at different locations on the shear field correlated with the corresponding local two-point shear correlation function xi(+/-). Building upon existing work on the integrated bispectrum of the weak lensing convergence field, we present a theoretical framework for computing the integrated three-point function in real space for any projected field within the flat-sky approximation and apply it to cosmic shear. Using analytical formulae for the non-linear matter power spectrum and bispectrum, we model i zeta(+/-) and validate it on N-body simulations within the uncertainties expected from the sixth year cosmic shear data of the Dark Energy Survey. We also explore the Fisher information content of i zeta(+/-) and perform a joint analysis with xi(+/-) for two tomographic source redshift bins with realistic shape noise to analyse its power in constraining cosmological parameters. We find that the joint analysis of xi(+/-) and i zeta(+/-) has the potential to considerably improve parameter constraints from xi(+/-) alone, and can be particularly useful in improving the figure of merit of the dynamical dark energy equation of state parameters from cosmic shear data.
| Dokumententyp: | Zeitschriftenartikel |
|---|---|
| Fakultät: | Physik |
| Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
| ISSN: | 0035-8711 |
| Sprache: | Englisch |
| Dokumenten ID: | 98711 |
| Datum der Veröffentlichung auf Open Access LMU: | 05. Jun. 2023, 15:29 |
| Letzte Änderungen: | 05. Jun. 2023, 15:29 |
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