Kitching, TD; Alsing, J; Heavens, AF; Jimenez, R; McEwen, JD; Verde, L; (2017) The Limits of Cosmic Shear. Monthly Notices of the Royal Astronomical Society (MNRAS) , 469 (3) pp. 2737-2749. 10.1093/mnras/stx1039.

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Abstract

In this paper we discuss the commonly-used limiting cases, or approximations, for two-point cosmic shear statistics. We discuss the most prominent assumptions in this statistic: the flat-sky (small angle limit), the Limber (Bessel-to-delta function limit) and the Hankel transform (large l-mode limit) approximations; that the vast majority of cosmic shear results to date have used simultaneously. We find that the combined effect of these approximations can suppress power by >1% on scales of l<40. A fully non-approximated cosmic shear study should use a spherical-sky, non-Limber-approximated power spectrum analysis; and a transform involving Wigner small-d matrices in place of the Hankel transform. These effects, unaccounted for, would constitute at least 11% of the total budget for systematic effects for a power spectrum analysis of a Euclid-like experiment; but they are unnecessary.

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