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While it originates from many physical processes, for star-forming galaxies the intrinsic Ly<jats:italic>\u03b1<\/jats:italic> luminosity is a direct tracer of the Lyman-continuum (LyC) radiation produced by the most massive O- and early-type B-stars (<jats:italic>M<\/jats:italic><jats:sub>\u22c6<\/jats:sub>\u2004\u2273\u200410\u2006<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>) with lifetimes of a few Myrs. As such, Ly<jats:italic>\u03b1<\/jats:italic> luminosity should be an excellent instantaneous star formation rate (SFR) indicator. However, its resonant nature and susceptibility to dust as a rest-frame UV photon makes Ly<jats:italic>\u03b1<\/jats:italic> very hard to interpret due to the uncertain Ly<jats:italic>\u03b1<\/jats:italic> escape fraction, <jats:italic>f<\/jats:italic><jats:sub>esc,\u2006Ly<jats:italic>\u03b1<\/jats:italic><\/jats:sub>. Here we explore results from the CAlibrating LYMan-<jats:italic>\u03b1<\/jats:italic> with H<jats:italic>\u03b1<\/jats:italic> (CALYMHA) survey at <jats:italic>z<\/jats:italic>\u2004=\u20042.2, follow-up of Ly<jats:italic>\u03b1<\/jats:italic> emitters (LAEs) at <jats:italic>z<\/jats:italic>\u2004=\u20042.2\u2005\u2212\u20052.6 and a <jats:italic>z<\/jats:italic>\u2004\u223c\u20040\u22120.3 compilation of LAEs to directly measure <jats:italic>f<\/jats:italic><jats:sub>esc,\u2006Ly<jats:italic>\u03b1<\/jats:italic><\/jats:sub> with H<jats:italic>\u03b1<\/jats:italic>. We derive a simple empirical relation that robustly retrieves <jats:italic>f<\/jats:italic><jats:sub>esc,\u2006Ly<jats:italic>\u03b1<\/jats:italic><\/jats:sub> as a function of Ly<jats:italic>\u03b1<\/jats:italic> rest-frame EW (EW<jats:sub>0<\/jats:sub>): <jats:italic>f<\/jats:italic><jats:sub>esc,Ly<jats:italic>\u03b1<\/jats:italic><\/jats:sub> = 0.0048 EW<jats:sub>0<\/jats:sub>[\u00c5]\u2005\u00b1\u20050.05 and we show that it constrains a well-defined anti-correlation between ionisation efficiency (<jats:italic>\u03be<\/jats:italic><jats:sub>ion<\/jats:sub>) and dust extinction in LAEs. Observed Ly<jats:italic>\u03b1<\/jats:italic> luminosities and EW<jats:sub>0<\/jats:sub> are easy measurable quantities at high redshift, thus making our relation a practical tool to estimate intrinsic Ly<jats:italic>\u03b1<\/jats:italic> and LyC luminosities under well controlled and simple assumptions. Our results allow observed Ly<jats:italic>\u03b1<\/jats:italic> luminosities to be used to compute SFRs for LAEs at <jats:italic>z<\/jats:italic>\u2004\u223c\u20040\u22122.6 within \u00b10.2 dex of the H<jats:italic>\u03b1<\/jats:italic> dust corrected SFRs. We apply our empirical SFR(Ly<jats:italic>\u03b1<\/jats:italic>,<jats:italic>EW<\/jats:italic><jats:sub>0<\/jats:sub>) calibration to several sources at <jats:italic>z<\/jats:italic>\u2004\u2265\u20042.6 to find that star-forming LAEs have SFRs typically ranging from 0.1 to 20 <jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub> yr<jats:sup>\u22121<\/jats:sup> and that our calibration might be even applicable for the most luminous LAEs within the epoch of re-ionisation. Our results imply high ionisation efficiencies (log<jats:sub>10<\/jats:sub>[<jats:italic>\u03be<\/jats:italic><jats:sub>ion<\/jats:sub>\/Hz\u2006erg<jats:sup>\u22121<\/jats:sup>] = 25.4\u221225.6) and low dust content in LAEs across cosmic time, and will be easily tested with future observations with JWST which can obtain H<jats:italic>\u03b1<\/jats:italic> and H<jats:italic>\u03b2<\/jats:italic> measurements for high-redshift LAEs.<\/jats:p>","DOI":"10.1051\/0004-6361\/201833075","type":"journal-article","created":{"date-parts":[[2019,2,6]],"date-time":"2019-02-06T10:08:57Z","timestamp":1549447737000},"page":"A157","source":"Crossref","is-referenced-by-count":72,"title":["Predicting Ly<i>\u03b1<\/i> escape fractions with a simple observable"],"prefix":"10.1051","volume":"623","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8823-4845","authenticated-orcid":false,"given":"David","family":"Sobral","sequence":"first","affiliation":[]},{"given":"Jorryt","family":"Matthee","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2019,3,26]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"116","DOI":"10.3847\/1538-4357\/835\/2\/116","volume":"835","author":"An","year":"2017","journal-title":"ApJ"},{"key":"R2","doi-asserted-by":"crossref","first-page":"A33","DOI":"10.1051\/0004-6361\/201322068","volume":"558","author":"Robitaille","year":"2013","journal-title":"A&A"},{"key":"R3","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1051\/0004-6361:200809527","volume":"488","author":"Atek","year":"2008","journal-title":"A&A"},{"key":"R4","doi-asserted-by":"crossref","first-page":"A75","DOI":"10.1051\/0004-6361\/201425419","volume":"575","author":"Bacon","year":"2015","journal-title":"A&A"},{"key":"R5","doi-asserted-by":"crossref","first-page":"936","DOI":"10.1088\/0004-637X\/705\/1\/936","volume":"705","author":"Bouwens","year":"2009","journal-title":"ApJ"},{"key":"R6","doi-asserted-by":"crossref","first-page":"L19","DOI":"10.1088\/2041-8205\/799\/2\/L19","volume":"799","author":"Cai","year":"2015","journal-title":"ApJ"},{"key":"R7","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1086\/308692","volume":"533","author":"Calzetti","year":"2000","journal-title":"ApJ"},{"key":"R8","doi-asserted-by":"crossref","first-page":"1191","DOI":"10.1111\/j.1365-2966.2009.15383.x","volume":"399","author":"Cardamone","year":"2009","journal-title":"MNRAS"},{"key":"R9","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1093\/mnras\/stx2307","volume":"473","author":"Caruana","year":"2018","journal-title":"MNRAS"},{"key":"R10","doi-asserted-by":"crossref","first-page":"A143","DOI":"10.1051\/0004-6361\/201014410","volume":"525","author":"Cassata","year":"2011","journal-title":"A&A"},{"key":"R11","doi-asserted-by":"crossref","first-page":"A24","DOI":"10.1051\/0004-6361\/201423824","volume":"573","author":"Cassata","year":"2015","journal-title":"A&A"},{"key":"R12","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1086\/173187","volume":"415","author":"Charlot","year":"1993","journal-title":"ApJ"},{"key":"R13","doi-asserted-by":"crossref","first-page":"A30","DOI":"10.1051\/0004-6361\/201832758","volume":"616","author":"Chisholm","year":"2018","journal-title":"A&A"},{"key":"R14","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1088\/0004-637X\/796\/1\/64","volume":"796","author":"Ciardullo","year":"2014","journal-title":"ApJ"},{"key":"R15","unstructured":"Dijkstra M. 2017, ArXiv e-prints [arXiv:1704.03416]"},{"key":"R16","doi-asserted-by":"crossref","first-page":"2343","DOI":"10.1111\/j.1365-2966.2009.15859.x","volume":"401","author":"Dijkstra","year":"2010","journal-title":"MNRAS"},{"key":"R17","doi-asserted-by":"crossref","first-page":"L22","DOI":"10.3847\/2041-8213\/aa6482","volume":"838","author":"Ding","year":"2017","journal-title":"ApJ"},{"key":"R18","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1111\/j.1365-2966.2012.21710.x","volume":"426","author":"Dom\u00ednguez S\u00e1nchez","year":"2012","journal-title":"MNRAS"},{"key":"R19","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1093\/mnras\/stx1515","volume":"471","author":"Drake","year":"2017","journal-title":"MNRAS"},{"key":"R20","doi-asserted-by":"crossref","first-page":"A6","DOI":"10.1051\/0004-6361\/201731431","volume":"608","author":"Drake","year":"2017","journal-title":"A&A"},{"key":"R21","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1088\/0004-637X\/806\/1\/19","volume":"806","author":"Dressler","year":"2015","journal-title":"ApJ"},{"key":"R22","unstructured":"Fletcher T. 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