### Abstract

Aims. We introduce an optimized data vector of cosmic shear measures . This data vector has high information content, is not sensitive to B-mode contamination, and only shows small correlation between data points of different angular scales.Methods. We show that a data vector of the two-point correlation function (2PCF), hereafter denoted as , in general contains more information on cosmological parameters compared to a data vector of the aperture mass dispersion, hereafter referred to as . The reason for this is the fact that lacks the information of the convergence power spectrum on large angular scales, which is contained in . Nevertheless, has valuable properties (small correlation between data points of different angular scales, not sensitive to B-mode contamination) that one wants to preserve in an optimized data vector. Therefore we combine and to a new data vector , which retains the advantages of and is also sensitive to the large-scale information of . We compare the information content of the three data vectors by performing a detailed likelihood analysis and use ray-tracing simulations to derive the covariance matrices. In the last part of the paper we contaminate all data vectors with B-modes on small angular scales and examine their robustness against this contamination.Results. The combined data vector strongly improves constraints on cosmological parameters compared to . Although, the information content of is higher in the case of a pure E-mode signal, in the more realistic case where B-modes are present the 2PCF data vector is strongly contaminated and yields biased cosmological parameter estimates. The new data vector shows to be robust against this contamination. Furthermore the individual data points of show a much smaller correlation compared to , leading to an almost diagonal covariance matrix.

Original language | English (US) |
---|---|

Pages (from-to) | 9-19 |

Number of pages | 11 |

Journal | Astronomy and astrophysics |

Volume | 482 |

Issue number | 1 |

DOIs | |

State | Published - Apr 1 2008 |

Externally published | Yes |

### Fingerprint

### Keywords

- Cosmology: theory
- Gravitational lensing
- Large-scale structure of Universe
- Methods: statistical

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Astronomy and astrophysics*,

*482*(1), 9-19. https://doi.org/10.1051/0004-6361:20078573

**Comparing cosmic shear measures optimizing the information content of cosmic shear data vectors.** / Eifler, T.; Kilbinger, M.; Schneider, P.

Research output: Contribution to journal › Article

*Astronomy and astrophysics*, vol. 482, no. 1, pp. 9-19. https://doi.org/10.1051/0004-6361:20078573

}

TY - JOUR

T1 - Comparing cosmic shear measures optimizing the information content of cosmic shear data vectors

AU - Eifler, T.

AU - Kilbinger, M.

AU - Schneider, P.

PY - 2008/4/1

Y1 - 2008/4/1

N2 - Aims. We introduce an optimized data vector of cosmic shear measures . This data vector has high information content, is not sensitive to B-mode contamination, and only shows small correlation between data points of different angular scales.Methods. We show that a data vector of the two-point correlation function (2PCF), hereafter denoted as , in general contains more information on cosmological parameters compared to a data vector of the aperture mass dispersion, hereafter referred to as . The reason for this is the fact that lacks the information of the convergence power spectrum on large angular scales, which is contained in . Nevertheless, has valuable properties (small correlation between data points of different angular scales, not sensitive to B-mode contamination) that one wants to preserve in an optimized data vector. Therefore we combine and to a new data vector , which retains the advantages of and is also sensitive to the large-scale information of . We compare the information content of the three data vectors by performing a detailed likelihood analysis and use ray-tracing simulations to derive the covariance matrices. In the last part of the paper we contaminate all data vectors with B-modes on small angular scales and examine their robustness against this contamination.Results. The combined data vector strongly improves constraints on cosmological parameters compared to . Although, the information content of is higher in the case of a pure E-mode signal, in the more realistic case where B-modes are present the 2PCF data vector is strongly contaminated and yields biased cosmological parameter estimates. The new data vector shows to be robust against this contamination. Furthermore the individual data points of show a much smaller correlation compared to , leading to an almost diagonal covariance matrix.

AB - Aims. We introduce an optimized data vector of cosmic shear measures . This data vector has high information content, is not sensitive to B-mode contamination, and only shows small correlation between data points of different angular scales.Methods. We show that a data vector of the two-point correlation function (2PCF), hereafter denoted as , in general contains more information on cosmological parameters compared to a data vector of the aperture mass dispersion, hereafter referred to as . The reason for this is the fact that lacks the information of the convergence power spectrum on large angular scales, which is contained in . Nevertheless, has valuable properties (small correlation between data points of different angular scales, not sensitive to B-mode contamination) that one wants to preserve in an optimized data vector. Therefore we combine and to a new data vector , which retains the advantages of and is also sensitive to the large-scale information of . We compare the information content of the three data vectors by performing a detailed likelihood analysis and use ray-tracing simulations to derive the covariance matrices. In the last part of the paper we contaminate all data vectors with B-modes on small angular scales and examine their robustness against this contamination.Results. The combined data vector strongly improves constraints on cosmological parameters compared to . Although, the information content of is higher in the case of a pure E-mode signal, in the more realistic case where B-modes are present the 2PCF data vector is strongly contaminated and yields biased cosmological parameter estimates. The new data vector shows to be robust against this contamination. Furthermore the individual data points of show a much smaller correlation compared to , leading to an almost diagonal covariance matrix.

KW - Cosmology: theory

KW - Gravitational lensing

KW - Large-scale structure of Universe

KW - Methods: statistical

UR - http://www.scopus.com/inward/record.url?scp=42149147368&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42149147368&partnerID=8YFLogxK

U2 - 10.1051/0004-6361:20078573

DO - 10.1051/0004-6361:20078573

M3 - Article

AN - SCOPUS:42149147368

VL - 482

SP - 9

EP - 19

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

SN - 0004-6361

IS - 1

ER -