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Issue A&A Volume 441, Number 3, October III 2005 Page(s) 873 - 878 Section Cosmology (including clusters of galaxies) DOI 10.1051/0004-6361:20053440

A&A 441, 873-878 (2005)
DOI: 10.1051/0004-6361:20053440

Explicit computation of shear three-point correlation functions: the one-halo model case

F. Bernardeau

Service de Physique Théorique, CEA/DSM/SPhT, Unité de recherche associée au CNRS, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France
    e-mail: fbernard@spht.saclay.cea.fr

(Received 16 May 2005 / Accepted 7 June 2005 )

Abstract
We present a method for calculating explicit expressions of the shear three-point function for various cosmological models. The method is applied here to the one-halo model in the case of power law density profiles for which results are detailed. The three-point functions are found to reproduce to a large extent patterns in the shear correlations obtained in numerical simulations and may serve as a guideline to implement optimized methods for detecting the shear three-point function. In principle, the general method presented here can also be applied for other models of matter correlation.

Key words: cosmology: theory -- cosmology: dark matter -- cosmology: large-scale structure of Universe

© ESO 2005

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