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

Abstract

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 $⟨{\mathcal{M}}_{\mathrm{ap}}^3⟩$ 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. Furthermore, we find that a joint analysis almost doubles the constraining power on $S_8$ and increases the figure-of-merit in the ${\Omega }_{\mathrm{m}}$-${\sigma }_8$ plane by a factor of 5.9 with respect to an analysis with only second-order shear statistics. Our modelling pipeline is publicly available at https://github.com/sheydenreich/threepoint/releases/.

updated acknowledgements

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• Euclid. V. The Flagship galaxy mock catalogue: a comprehensive simulation for the Euclid mission
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• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• A roadmap to cosmological parameter analysis with third-order shear statistics III: Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data
• A roadmap to cosmological parameter analysis with third-order shear statistics II: Analytic covariance estimate
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• Dark Energy Survey Year 3 Results: Cosmological constraints from second and third-order shear statistics
• What is the super-sample covariance? A fresh perspective for second-order shear statistics
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