Constraints on $S_8$ from a full-scale and full-shape analysis of redshift-space clustering and galaxy-galaxy lensing in BOSS

Abstract

We present a novel simulation-based cosmological analysis of galaxy-galaxy lensing and galaxy redshift-space clustering. Compared to analysis methods based on perturbation theory, our simulation-based approach allows us to probe a much wider range of scales, $0.4h^{-1}\mathrm{Mpc}$ to $63h^{-1}\mathrm{Mpc}$, including highly non-linear scales, and marginalises over astrophysical effects such as assembly bias. We apply this framework to data from the Baryon Oscillation Spectroscopic Survey LOWZ sample cross-correlated with state-of-the-art gravitational lensing catalogues from the Kilo Degree Survey and the Dark Energy Survey. We show that gravitational lensing and redshift-space clustering when analysed over a large range of scales place tight constraints on the growth-of-structure parameter $S_8={\sigma }_8\sqrt{{\Omega }_{\mathrm{m}}/0.3}$. Overall, we infer $S_8=0.792\pm 0.022$ when analysing the combination of galaxy-galaxy lensing and projected galaxy clustering and $S_8=0.771\pm 0.027$ for galaxy redshift-space clustering. These findings highlight the potential constraining power of full-scale studies over studies analysing only large scales, and also showcase the benefits of analysing multiple large-scale structure surveys jointly. Our inferred values for $S_8$ fall below the value inferred from the CMB, $S_8=0.834\pm 0.016$. While this difference is not statistically significant by itself, our results mirror other findings in the literature whereby low-redshift large scale structure probes infer lower values for $S_8$ than the CMB, the so-called $S_8$-tension.

22 pages, 16 figures, submitted to MNRAS, comments welcome

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