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Issue A&A
Volume 456, Number 2, September III 2006
Page(s) 421 - 432
Section Cosmology (including clusters of galaxies)
DOI http://dx.doi.org/10.1051/0004-6361:20054125



A&A 456, 421-432 (2006)
DOI: 10.1051/0004-6361:20054125

The cosmic shear three-point functions

K. Benabed1 and R. Scoccimarro2

1  Institut d'Astrophysique de Paris, 98bis bd Arago, 75014 Paris, France
    e-mail: benabed@iap.fr
2  Center for Cosmology and Particule Physics, Department of Physics, New York University, New York, NY 10003, USA

(Received 30 August 2005 / Accepted 13 April 2006)

Abstract
We investigate the three-point functions of the weak lensing cosmic shear, using both analytic methods and numerical results from N-body simulations. The analytic model, an isolated dark matter halo with a power-law profile chosen to fit the effective index at the scale probed, can be used to understand the basic properties of the eight three-point functions observed in simulations. We use this model to construct a single three-point function estimator that "optimally" combines the eight three-point functions. This new estimator is an alternative to $M_{\rm ap}$ statistics and provides up to a factor of two improvement in signal to noise compared to previously used combinations of cosmic shear three-point functions.


Key words: cosmology: large-scale structure of Universe -- gravitational lensing



© ESO 2006


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