### Abstract

Aims. We quantify the mixing of the measured cosmic-shear E- and B-modes caused by the lack of shear-correlation measurements on small and large scales, arising from a lack of close projected galaxy pairs and the finite field size, respectively. Methods. We calculate the aperture-mass statistics 〈M _{ap,perp;}^{2}) and the E-/B-mode shear-correlation functions ξ_{E,B±} where small- and large-scale cutoffs are taken into account. We assess the deviation of the obtained E-mode to the true E-mode and the introduction of a spurious B-mode. Results. The measured aperture-mass dispersion is underestimated by more than 10% on scales smaller than 12 times the lower cutoff. For a precise measurement of the E- and B-modes at the percent level using a combination of ξ_{E,B+} and ξ_{E,B-}, a field as large as 7 (2.4) degrees is necessary for ground-based (space-based) observations.

Original language | English (US) |
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Pages (from-to) | 15-19 |

Number of pages | 5 |

Journal | Astronomy and astrophysics |

Volume | 457 |

Issue number | 1 |

DOIs | |

State | Published - Oct 1 2006 |

Externally published | Yes |

### Keywords

- Cosmological parameters
- Gravitational lensing
- Large-scale structure of Universe

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

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## Cite this

*Astronomy and astrophysics*,

*457*(1), 15-19. https://doi.org/10.1051/0004-6361:20065495