Explicit computation of shear three-point correlation functions: the one-halo model case
Service de Physique Théorique, CEA/DSM/SPhT, Unité de recherche associée au CNRS, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France e-mail: firstname.lastname@example.org
Accepted: 7 June 2005
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