A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation

Understand

In 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 $\Gamma^{(i)}$ and the third-order aperture statistics $\langle\mathcal{M}_\mathrm{ap}^3\rangle$ from the BiHalofit bispectrum model and validate these statistics with a series of N-body simulations.

• 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.
• Finally, we perform a cosmological parameter analysis on KiDS1000-like mock data with second- and third-order statistics.
• We recover all cosmological parameters with very little bias.