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Furthermore, we find that a joint analysis almost doubles the constraining power on S 8 and increases the figure of merit in the Ω m- σ 8 plane by a factor of 5.9 with respect to an analysis with only second-order shear statistics. In the absence of systematic effects, we recover all cosmological parameters with very little bias. Finally, we perform a cosmological parameter analysis on KiDS1000-like mock data with second- and third-order statistics. We then investigate how to bin the shear three-point correlation functions to achieve an unbiased estimate for third-order aperture statistics in real data. Sven Heydenreich, Laila Linke, Pierre Burger and Peter SchneiderĪrgelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, GermanyĮ-mail: this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation functions Γ ( i) and the third-order aperture statistics from the B IH ALOFIT bispectrum model and validate these statistics with a series of N-body simulations.
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