{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/evidence-for-suppression-of-structure-growth","title":"Evidence for suppression of structure growth in the concordance cosmological model","arxiv_id":"2302.01331","date":"2023-02-02","proceeding":null,"authors":["Nhat-Minh Nguyen","Dragan Huterer","Yuewei Wen"],"abstract":"We present evidence for a suppressed growth rate of large-scale structure during the dark-energy dominated era. Modeling the growth rate of perturbations with the ``growth index'' $\\gamma$, we find that current cosmological data strongly prefer a higher growth index than the value $\\gamma=0.55$ predicted by general relativity in a flat $\\Lambda$CDM cosmology. Both the cosmic microwave background data from Planck and the large-scale structure data from weak lensing, galaxy clustering, and cosmic velocities separately favor growth suppression. When combined, they yield $\\gamma=0.633^{+0.025}_{-0.024}$, excluding $\\gamma=0.55$ at a statistical significance of 3.7$\\sigma$. The combination of $f\\sigma_8$ and Planck measurements prefers an even higher growth index of $\\gamma=0.639^{+0.024}_{-0.025}$, corresponding to a 4.2$\\sigma$-tension with the concordance model. In Planck data, the suppressed growth rate offsets the preference for nonzero curvature and fits the data equally well as the latter model. A higher $\\gamma$ leads to a higher matter fluctuation amplitude $S_8$ inferred from galaxy clustering and weak lensing measurements, and a lower $S_8$ from Planck data, effectively resolving the $S_8$ tension.","url_abs":"https://arxiv.org/abs/2302.01331v2","url_pdf":"https://arxiv.org/pdf/2302.01331v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"evidence-for-suppression-of-structure-growth","repo_url":"https://github.com/minhmpa/camb","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"evidence-for-suppression-of-structure-growth","repo_url":"https://github.com/minhmpa/camb_gammaprime_growth","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}