E- And B-mode mixing from incomplete knowledge of the shear correlation

M. Kilbinger; P. Schneider; T. Eifler

doi:10.1051/0004-6361:20065495

E- And B-mode mixing from incomplete knowledge of the shear correlation

M. Kilbinger, P. Schneider, T. Eifler

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

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)
Pages (from-to)	15-19
Number of pages	5
Journal	Astronomy and astrophysics
Volume	457
Issue number	1
DOIs	https://doi.org/10.1051/0004-6361:20065495
State	Published - Oct 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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10.1051/0004-6361:20065495

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title = "E- And B-mode mixing from incomplete knowledge of the shear correlation",

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 ξE,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 ξE,B+ and ξE,B-, a field as large as 7 (2.4) degrees is necessary for ground-based (space-based) observations.",

keywords = "Cosmological parameters, Gravitational lensing, Large-scale structure of Universe",

author = "M. Kilbinger and P. Schneider and T. Eifler",

year = "2006",

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doi = "10.1051/0004-6361:20065495",

language = "English (US)",

volume = "457",

pages = "15--19",

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T1 - E- And B-mode mixing from incomplete knowledge of the shear correlation

AU - Kilbinger, M.

AU - Schneider, P.

AU - Eifler, T.

PY - 2006/10

Y1 - 2006/10

N2 - 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 ξE,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 ξE,B+ and ξE,B-, a field as large as 7 (2.4) degrees is necessary for ground-based (space-based) observations.

AB - 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 ξE,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 ξE,B+ and ξE,B-, a field as large as 7 (2.4) degrees is necessary for ground-based (space-based) observations.

KW - Cosmological parameters

KW - Gravitational lensing

KW - Large-scale structure of Universe

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JO - Astronomy and astrophysics

JF - Astronomy and astrophysics

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E- And B-mode mixing from incomplete knowledge of the shear correlation

Abstract

Keywords

ASJC Scopus subject areas

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