KiDS-1000 cosmology: Combined second- and third-order shear statistics

Abstract

This paper performs the first cosmological parameter analysis of the KiDS-1000 data with second- and third-order shear statistics. This work builds on a series of papers that describe the roadmap to third-order shear statistics. We derive and test a combined model of the second-order shear statistic, namely the COSEBIs and the third-order aperture mass statistics $⟨M_{\mathrm{ap}}^3⟩$ in a tomographic set-up. We validate our pipeline with $N$-body simulations that mock the fourth Kilo Degree survey data release. To model the second- and third-order statistics, we use the latest version of \textsc{HMcode2020} for the power spectrum and \textsc{BiHalofit} for the bispectrum. Furthermore, we use an analytic description to model intrinsic alignments and hydro-dynamical simulations to model the effect of baryonic feedback processes. Lastly, we decreased the dimension of the data vector significantly by considering for the $⟨M_{\mathrm{ap}}^3⟩$ part of the data vector only equal smoothing radii, making a data analysis of the fourth Kilo Degree survey data release using a combined analysis of COSEBIs third-order shear statistic possible. We first validate the accuracy of our modelling by analysing a noise-free mock data vector assuming the KiDS-1000 error budget, finding a shift in the maximum-a-posterior of the matter density parameter $\Delta {\Omega }_m<0.02{\sigma }_{{\Omega }_m}$ and of the structure growth parameter $\Delta S_8<0.05{\sigma }_{S_8}$. Lastly, we performed the first KiDS-1000 cosmological analysis using a combined analysis of second- and third-order shear statistics, where we constrained ${\Omega }_m=0.248_{-0.055}^{+0.062}$ and $S_8={\sigma }_8\sqrt{{\Omega }_m/0.3}=0.772\pm 0.022$. The geometric average on the errors of ${\Omega }_{\mathrm{m}}$ and $S_8$ of the combined statistics increased compared to the second-order statistic by 2.2.

19 pages, 15 figures

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