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Here, we introduce an emissivity framework based on Ly\u03b1 emitters (LAEs), which naturally hones in on the subset of galaxies responsible for the ionizing background due to the intimate connection between production and escape of Ly\u03b1 and LyC photons. Using constraints on the escape fractions of bright LAEs (LLy\u03b1 &amp;gt; 0.2L*) at z \u2248 2 obtained from resolved Ly\u03b1 profiles, and arguing for their redshift-invariance, we show that: (i) quasars and LAEs together reproduce the relatively flat emissivity at z \u2248 2\u20136, which is non-trivial given the strong evolution in both the star formation density and quasar number density at these epochs and (ii) LAEs produce late and rapid reionization between z \u2248 6\u22129 under plausible assumptions. Within this framework, the &amp;gt;10 \u00d7 rise in the UV population-averaged fesc between z \u2248 3\u20137 naturally arises due to the same phenomena that drive the growing LAE fraction with redshift. Generally, a LAE dominated emissivity yields a peak in the distribution of the ionizing budget with UV luminosity as reported in latest simulations. Using our adopted parameters ($f_{\\rm {esc}}=50{{\\ \\rm per\\ cent}}$, \u03beion = 1025.9\u2009Hz\u2009erg\u22121 for half the bright LAEs), a highly ionizing minority of galaxies with MUV &amp;lt; \u221217 accounts for the entire ionizing budget from star-forming galaxies. Rapid flashes of LyC from such rare galaxies produce a \u2018disco\u2019 ionizing background. We conclude proposing tests to further develop our suggested Ly\u03b1-anchored formalism.<\/jats:p>","DOI":"10.1093\/mnras\/stac801","type":"journal-article","created":{"date-parts":[[2022,3,23]],"date-time":"2022-03-23T04:14:10Z","timestamp":1648008850000},"page":"5960-5977","source":"Crossref","is-referenced-by-count":68,"title":["(Re)Solving reionization with Ly\u03b1: how bright Ly\u03b1 Emitters account for the <i>z<\/i> \u2248 2\u20138 cosmic ionizing background"],"prefix":"10.1093","volume":"512","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2871-127X","authenticated-orcid":false,"given":"Jorryt","family":"Matthee","sequence":"first","affiliation":[{"name":"Department of Physics , ETH Z\u00fcrich, Wolfgang-Pauli-Strasse 27, CH-8093 Z\u00fcrich, Switzerland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3997-5705","authenticated-orcid":false,"given":"Rohan P","family":"Naidu","sequence":"additional","affiliation":[{"name":"Center for Astrophysics | Harvard & Smithsonian , 60 Garden Street, Cambridge, MA 02138, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0736-7879","authenticated-orcid":false,"given":"Gabriele","family":"Pezzulli","sequence":"additional","affiliation":[{"name":"Kapteyn Astronomical Institute, University of Groningen , Landleven 12, NL-9747 AD Groningen, the Netherlands"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2491-060X","authenticated-orcid":false,"given":"Max","family":"Gronke","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, Johns Hopkins University , Bloomberg Center, 3400\u00a0N. 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