BASILISK IV. No $S_8$ Tension with Satellite Kinematics

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Main Authors: Mitra, Kaustav, Bosch, Frank C. van den, Baggen, Josephine, Lange, Johannes U.
Format: Preprint
Published: 2025
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author Mitra, Kaustav
Bosch, Frank C. van den
Baggen, Josephine
Lange, Johannes U.
author_facet Mitra, Kaustav
Bosch, Frank C. van den
Baggen, Josephine
Lange, Johannes U.
contents We develop a novel technique to probe the $S_8$ tension, using information from the smallest scales of galaxy redshift survey data. Specifically, we use Basilisk, a Bayesian hierarchical tool for forward modeling the kinematics and abundance of satellite galaxies extracted from spectroscopic data, to first constrain the galaxy-halo connection precisely and accurately. We then demand self-consistency in that the galaxy-halo connection predicts the correct galaxy luminosity function, which constrains the halo mass function and thereby cosmology. Crucially, the method accounts for baryonic effects and is free of halo assembly bias issues. We validate the method against realistic SDSS-like mock data, demonstrating unbiased recovery of the input cosmology. Applying it to the SDSS-DR7, we infer that $Ω_{\rm m} = 0.324 \pm 0.012$, $σ_8 = 0.775 \pm 0.063$ and $S_8 \equiv σ_8 \sqrt{Ω_{\rm m}/0.3} = 0.81 \pm 0.05$, in perfect agreement with the cosmic microwave background constraints from Planck. The most stringent constraint is with regard to the parameter combination $σ_8 (Ω_{\rm m}/0.3)^2$, which we infer to be $0.91 \pm 0.05$. Hence, unlike many low-redshift analyses of large-scale structure data, we find no indication of $S_8$ tension. We demonstrate that these results are robust to reasonable variation in the implementation of baryonification used to model the host halo's gravitational potentials in response to baryonic processes. We also highlight the importance of correctly modeling the satellite radial profile in any analysis involving small-scale information. Finally, we underscore the hidden potential of this methodology for constraining baryonic physics using data from ongoing and upcoming surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14889
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle BASILISK IV. No $S_8$ Tension with Satellite Kinematics
Mitra, Kaustav
Bosch, Frank C. van den
Baggen, Josephine
Lange, Johannes U.
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
We develop a novel technique to probe the $S_8$ tension, using information from the smallest scales of galaxy redshift survey data. Specifically, we use Basilisk, a Bayesian hierarchical tool for forward modeling the kinematics and abundance of satellite galaxies extracted from spectroscopic data, to first constrain the galaxy-halo connection precisely and accurately. We then demand self-consistency in that the galaxy-halo connection predicts the correct galaxy luminosity function, which constrains the halo mass function and thereby cosmology. Crucially, the method accounts for baryonic effects and is free of halo assembly bias issues. We validate the method against realistic SDSS-like mock data, demonstrating unbiased recovery of the input cosmology. Applying it to the SDSS-DR7, we infer that $Ω_{\rm m} = 0.324 \pm 0.012$, $σ_8 = 0.775 \pm 0.063$ and $S_8 \equiv σ_8 \sqrt{Ω_{\rm m}/0.3} = 0.81 \pm 0.05$, in perfect agreement with the cosmic microwave background constraints from Planck. The most stringent constraint is with regard to the parameter combination $σ_8 (Ω_{\rm m}/0.3)^2$, which we infer to be $0.91 \pm 0.05$. Hence, unlike many low-redshift analyses of large-scale structure data, we find no indication of $S_8$ tension. We demonstrate that these results are robust to reasonable variation in the implementation of baryonification used to model the host halo's gravitational potentials in response to baryonic processes. We also highlight the importance of correctly modeling the satellite radial profile in any analysis involving small-scale information. Finally, we underscore the hidden potential of this methodology for constraining baryonic physics using data from ongoing and upcoming surveys.
title BASILISK IV. No $S_8$ Tension with Satellite Kinematics
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2512.14889