{"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/impact-of-warm-dark-matter-on-the-cosmic","title":"Impact of Warm Dark Matter on the Cosmic Neutrino Background Anisotropies","arxiv_id":"2201.01888","date":"2022-01-06","proceeding":null,"authors":["Christopher G. Tully","Gemma Zhang"],"abstract":"The Cosmic Neutrino Background (C$\\nu$B) anisotropies for massive neutrinos are a unique probe of large-scale structure formation. The redshift-distance measure is completely different for massive neutrinos as compared to electromagnetic radiation. The C$\\nu$B anisotropies in massive neutrinos grow in response to non-relativistic motion in gravitational potentials seeded by relatively high $k$-modes. Differences in the early phases of large-scale structure formation in Warm Dark Matter (WDM) versus Cold Dark Matter (CDM) cosmologies have an impact on the magnitude of the C$\\nu$B anisotropies for contributions to the angular power spectrum that peak at high $k$-modes. We take the examples of WDM consisting of 2, 3 or 7 keV sterile neutrinos and show that the C$\\nu$B anisotropies for 0.05 eV neutrinos drop off at high-$l$ multipole moment in the angular power spectrum relative to CDM. At the same angular scales that one can observe baryonic acoustical oscillations in the CMB, the C$\\nu$B anisotropies begin to become sensitive to differences in WDM and CDM cosmologies. The precision measurement of high-$l$ multipoles in the C$\\nu$B neutrino sky map is a potential possibility for the PTOLEMY experiment with thin film targets of spin-polarized atomic tritium superfluid that exhibit significant quantum liquid amplification for non-relativistic relic neutrino capture.","url_abs":"https://arxiv.org/abs/2201.01888v2","url_pdf":"https://arxiv.org/pdf/2201.01888v2.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":"impact-of-warm-dark-matter-on-the-cosmic","repo_url":"https://github.com/gemyxzhang/cnb-anisotropies","is_official":1,"mentioned_in_paper":0,"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}