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Article Dans Une Revue Monthly Notices of the Royal Astronomical Society Année : 2010

A new cosmic shear function: optimized E-/B-mode decomposition on a finite interval

Liping Fu
  • Fonction : Auteur
Martin Kilbinger

Résumé

The decomposition of the cosmic shear field into E and B mode is an important diagnostic in weak gravitational lensing. However, commonly used techniques to perform this separation suffer from mode-mixing on very small or very large scales. We introduce a new E-/B-mode decomposition of the cosmic shear two-point correlation on a finite interval. This new statistic is optimized for cosmological applications, by maximizing the signal-to-noise ratio (S/N) and a figure of merit (FoM) based on the Fisher matrix of the cosmological parameters Ωm and σ8.

We improve both S/N and FoM results substantially with respect to the recently introduced ring statistic, which also provides E-/B-mode separation on a finite angular range. The S/N (FoM) is larger by a factor of 3 (2) on angular scales between 1 and 220 arcmin. In addition, it yields better results than for the aperture-mass dispersion 2ap>, with improvements of 20 per cent (10 per cent) for S/N (FoM). Our results depend on the survey parameters, most importantly on the covariance of the two-point shear correlation function. Although we assume parameters according to the CFHTLS-Wide survey, our method and optimization scheme can be applied easily to any given survey settings and observing parameters. Arbitrary quantities, with respect to which the E-/B-mode filter is optimized, can be defined, therefore generalizing the aim and context of the new shear statistic.

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Dates et versions

hal-03646188 , version 1 (22-05-2022)

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Liping Fu, Martin Kilbinger. A new cosmic shear function: optimized E-/B-mode decomposition on a finite interval. Monthly Notices of the Royal Astronomical Society, 2010, 401, pp.1264-1274. ⟨10.1111/j.1365-2966.2009.15720.x⟩. ⟨hal-03646188⟩
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