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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2509.20235 |
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| _version_ | 1866908556813402112 |
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| author | Stiskalek, Richard |
| author_facet | Stiskalek, Richard |
| contents | Peculiar velocity measurements constrain the parameter combination $fσ_8$, the product of the linear growth rate $f$ and the fluctuation amplitude $σ_8$. Under the approximation that $f$ is a monotonic function of $Ω_{\rm m}$, this can be related to $S_8 \equiv σ_8 \sqrt{Ω_{\rm m}/0.3}$, enabling direct comparison with weak lensing and cosmic microwave background results. We exploit this by using three classes of direct-distance tracers -- the Tully-Fisher relation, the fundamental plane, and Type~Ia supernovae -- to infer peculiar velocities. A unified hierarchical forward model jointly calibrates each distance indicator and a linear theory reconstruction of the local Universe. This is the first consistent Bayesian analysis to combine all three major classes of distance indicators within a common framework, enabling cross-checks of systematics across diverse galaxy populations. All three tracers yield consistent values of $S_8$ that are also in agreement with Planck. Our joint constraint is $S_8 = 0.819 \pm 0.030$, with the uncertainty dominated by the 2M++ galaxy field. These results demonstrate that peculiar velocity surveys provide a robust, consistent measurement of $S_8$, and support concordance with the cosmic microwave background. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $S_8$ from Tully-Fisher, fundamental plane, and supernova distances agree with Planck Stiskalek, Richard Cosmology and Nongalactic Astrophysics Peculiar velocity measurements constrain the parameter combination $fσ_8$, the product of the linear growth rate $f$ and the fluctuation amplitude $σ_8$. Under the approximation that $f$ is a monotonic function of $Ω_{\rm m}$, this can be related to $S_8 \equiv σ_8 \sqrt{Ω_{\rm m}/0.3}$, enabling direct comparison with weak lensing and cosmic microwave background results. We exploit this by using three classes of direct-distance tracers -- the Tully-Fisher relation, the fundamental plane, and Type~Ia supernovae -- to infer peculiar velocities. A unified hierarchical forward model jointly calibrates each distance indicator and a linear theory reconstruction of the local Universe. This is the first consistent Bayesian analysis to combine all three major classes of distance indicators within a common framework, enabling cross-checks of systematics across diverse galaxy populations. All three tracers yield consistent values of $S_8$ that are also in agreement with Planck. Our joint constraint is $S_8 = 0.819 \pm 0.030$, with the uncertainty dominated by the 2M++ galaxy field. These results demonstrate that peculiar velocity surveys provide a robust, consistent measurement of $S_8$, and support concordance with the cosmic microwave background. |
| title | $S_8$ from Tully-Fisher, fundamental plane, and supernova distances agree with Planck |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2509.20235 |