Universität zu Köln

Shi, X., Schneider, P. and Joachimi, B. (2011). Relations between three-point configuration space shear and convergence statistics. Astron. Astrophys., 533. LES ULIS CEDEX A: EDP SCIENCES S A. ISSN 1432-0746

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Abstract

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Shi, X. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schneider, P. UNSPECIFIED UNSPECIFIED UNSPECIFIED Joachimi, B. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-489508
DOI:	10.1051/0004-6361/201117236
Journal or Publication Title:	Astron. Astrophys.
Volume:	533
Date:	2011
Publisher:	EDP SCIENCES S A
Place of Publication:	LES ULIS CEDEX A
ISSN:	1432-0746
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COSMIC SHEAR; DARK-MATTER; B-MODE; SKEWNESS Multiple languages Astronomy & Astrophysics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48950