### 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) |
---|---|

Pages (from-to) | 421-432 |

Number of pages | 12 |

Journal | Astronomy and Astrophysics |

Volume | 456 |

Issue number | 2 |

DOIs | |

State | Published - Sep 2006 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Astronomy and Astrophysics*,

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

**The cosmic shear three-point functions.** / Benabed, K.; Scoccimarro, R.

Research output: Contribution to journal › Article

*Astronomy and Astrophysics*, vol. 456, no. 2, pp. 421-432. https://doi.org/10.1051/0004-6361:20054125

}

TY - JOUR

T1 - The cosmic shear three-point functions

AU - Benabed, K.

AU - Scoccimarro, R.

PY - 2006/9

Y1 - 2006/9

N2 - 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.

AB - 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.

KW - Cosmology: large-scale structure of Universe

KW - Gravitational lensing

UR - http://www.scopus.com/inward/record.url?scp=33748765573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748765573&partnerID=8YFLogxK

U2 - 10.1051/0004-6361:20054125

DO - 10.1051/0004-6361:20054125

M3 - Article

VL - 456

SP - 421

EP - 432

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

SN - 0004-6361

IS - 2

ER -