### 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_{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.

Original language | English (US) |
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Pages (from-to) | 421-432 |

Number of pages | 12 |

Journal | Astronomy and Astrophysics |

Volume | 456 |

Issue number | 2 |

DOIs | |

State | Published - Sep 1 2006 |

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### Keywords

- Cosmology: large-scale structure of Universe
- Gravitational lensing

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Astronomy and Astrophysics*,

*456*(2), 421-432. https://doi.org/10.1051/0004-6361:20054125