期刊
ASTRONOMY & ASTROPHYSICS
卷 533, 期 -, 页码 -出版社
EDP SCIENCES S A
DOI: 10.1051/0004-6361/201117236
关键词
gravitational lensing: weak; large-scale structure of Universe; methods: analytical; cosmology: theory
资金
- UK Space Agency
- Deutsche Forschungsgemeinschaft under the Collaborative Research Center TR-33
- EC within the RTN Network DUEL
With the growing interest in and ability of using weak lensing studies to probe the non-Gaussian properties of the matter density field, there is an increasing need for the study of suitable statistical measures, e.g. shear three-point statistics. In this paper we establish the relations between the three-point configuration space shear and convergence statistics, which are an important missing link between different weak lensing three-point statistics and provide an alternative way of relating observation and theory. The method we use also allows us to derive the relations between other two- and three-point correlation functions. We show the consistency of the relations obtained with already established results and demonstrate how they can be evaluated numerically. As a direct application, we use these relations to formulate the condition for E/B-mode decomposition of lensing three-point statistics, which is the basis for constructing new three-point statistics which allow for exact E/B-mode separation. Our work applies also to other two-dimensional polarization fields such as that of the cosmic microwave background.
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