Decomposition of Cosmic Shear E-/B-Mode on a Finite Interval

Details Decomposition of Cosmic Shear E-/B-Mode on a Finite Interval Decomposition of Cosmic Shear E-/B-Mode on a Finite Interval

Oct 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aspc..446..393x&link_type=abstract

Galaxy evolution: Infrared to millimeter wavelength perspective. Proceedings of a conference held at Guilin, China 25-29 October

Mathematics

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Scientific paper

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 optimised for cosmological applications, by maximising 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 three (two) on angular scales between 1 and 220 arc minutes. In addition, it yields better results than for the aperture-mass dispersion < Map2 >, with improvements of 20% (10%) 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 optimisation 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 optimised, can be defined, therefore generalising the aim and context of the new shear statistic.

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