{ "id": "2302.09763", "version": "v1", "published": "2023-02-20T05:06:48.000Z", "updated": "2023-02-20T05:06:48.000Z", "title": "The most massive Population III stars", "authors": [ "Teeraparb Chantavat", "Siri Chongchitnan", "Joseph Silk" ], "comment": "4 pages, 4 figures", "categories": [ "astro-ph.SR", "astro-ph.CO", "astro-ph.GA" ], "abstract": "Recent data from the James Webb Space Telescope suggest that there are realistic prospects for detecting the earliest generation of stars at redshift ~20. These metal-poor, gaseous Population III stars are likely in the mass range $10-10^3 M_\\odot$. We develop a framework for calculating the abundances of Pop III stars as well as the distribution of the most massive Pop III stars based on an application of extreme-value statistics. Our calculations use the star formation rate density from a recent simulation to calibrate the star-formation efficiency from which the Pop III stellar abundances are derived. Our extreme-value modelling suggests that the most massive Pop III stars at redshifts 10