{"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/5-s-tension-between-planck-cosmic-microwave","title":"$5 σ$ tension between Planck cosmic microwave background and eBOSS Lyman-alpha forest and constraints on physics beyond $Λ$CDM","arxiv_id":"2311.16377","date":"2023-11-27","proceeding":null,"authors":["Keir K. Rogers","Vivian Poulin"],"abstract":"We find that combined Planck cosmic microwave background, baryon acoustic oscillations and supernovae data analyzed under $\\Lambda$CDM are in 4.9$\\sigma$ tension with eBOSS Ly$\\alpha$ forest in inference of the linear matter power spectrum at wavenumber $\\sim 1 h\\,\\mathrm{Mpc}^{-1}$ and redshift = 3. Model extensions can alleviate this tension: running in the tilt of the primordial power spectrum ($\\alpha_\\mathrm{s} \\sim -0.01$); a fraction $\\sim (1 - 5)\\%$ of ultra-light axion dark matter (DM) with particle mass $\\sim 10^{-25}$ eV or warm DM with mass $\\sim 10$ eV. The new DESI survey, coupled with high-accuracy modeling, will help distinguish the source of this discrepancy.","url_abs":"https://arxiv.org/abs/2311.16377v3","url_pdf":"https://arxiv.org/pdf/2311.16377v3.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":"5-s-tension-between-planck-cosmic-microwave","repo_url":"https://github.com/brinckmann/montepython_public","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}