{"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/primordial-black-hole-formation-in-a","title":"Primordial black hole formation in $α$-attractor models: an analysis using optimized peaks theory","arxiv_id":"2103.15957","date":"2021-03-29","proceeding":null,"authors":["Rafid Mahbub"],"abstract":"In this paper, the formation of primordial black holes (PBHs) is reinvestigated using inflationary $\\alpha$-attractors. Instead of using the conventional Press-Schechter theory to compute the abundance, the optimized peaks theory is used, which was developed in Ref. \\cite{Yoo:2018kvb,Yoo:2020dkz}. This method takes into account how curvature perturbations play a r\\^{o}le in modifying the mass of primordial black holes. Analyzing the model proposed in \\cite{Mahbub:2019uhl} it is seen that the horizon mass of the collapsed Hubble patch is larger by $\\mathcal{O}(10)$ compared to the usual computation. Moreover, PBHs can be formed from curvature power spectrum, $\\mathcal{P}_{\\zeta}(k)$, peaked at lower values using numerically favored threshold overdensities. As a result of the generally larger masses predicted, the peak of the power spectrum can be placed at larger $k$ modes than that is typical with which potential future constraints on the primordial power spectrum through gravitational waves (GWs) can be evaded.","url_abs":"https://arxiv.org/abs/2103.15957v2","url_pdf":"https://arxiv.org/pdf/2103.15957v2.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":"primordial-black-hole-formation-in-a","repo_url":"https://github.com/bradkav/PBHbounds","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"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}