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Excluding Ly<jats:italic>\u03b1<\/jats:italic>, all except two galaxies in our sample show at least one other rest-UV emission line, with C\u202f<jats:sc>III<\/jats:sc>]<jats:italic>\u03bb<\/jats:italic>1907,<jats:italic>\u03bb<\/jats:italic>1909 being the most prominent. We use multi-wavelength data available in the<jats:italic>Hubble<\/jats:italic>legacy fields to derive basic galaxy properties of our sample through spectral energy distribution fitting techniques. Taking advantage of the high-quality spectra obtained by MUSE (\u223c10\u2005\u2212\u200530 h of exposure time per pointing), we use photo-ionisation models to study the rest-UV emission line diagnostics of the He\u202f<jats:sc>II<\/jats:sc>\u2004<jats:italic>\u03bb<\/jats:italic>1640 emitters. Line ratios of our sample can be reproduced by moderately sub-solar photo-ionisation models, however, we find that including effects of binary stars lead to degeneracies in most free parameters. Even after considering extra ionising photons produced by extreme sub-solar metallicity binary stellar models, photo-ionisation models are unable to reproduce rest-frame He\u202f<jats:sc>II<\/jats:sc>\u2004<jats:italic>\u03bb<\/jats:italic>1640 equivalent widths (\u223c0.2\u2005\u2212\u200510 \u00c5), thus additional mechanisms are necessary in models to match the observed He\u202f<jats:sc>II<\/jats:sc>\u2004<jats:italic>\u03bb<\/jats:italic>1640 properties.<\/jats:p>","DOI":"10.1051\/0004-6361\/201834565","type":"journal-article","created":{"date-parts":[[2019,3,4]],"date-time":"2019-03-04T08:52:03Z","timestamp":1551689523000},"page":"A89","source":"Crossref","is-referenced-by-count":61,"title":["Exploring He\u202fII\u2004<i>\u03bb<\/i>1640 emission line properties at<i>z<\/i>\u223c2\u22124"],"prefix":"10.1051","volume":"624","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2804-0648","authenticated-orcid":false,"given":"Themiya","family":"Nanayakkara","sequence":"first","affiliation":[]},{"given":"Jarle","family":"Brinchmann","sequence":"additional","affiliation":[]},{"given":"Leindert","family":"Boogaard","sequence":"additional","affiliation":[]},{"given":"Rychard","family":"Bouwens","sequence":"additional","affiliation":[]},{"given":"Sebastiano","family":"Cantalupo","sequence":"additional","affiliation":[]},{"given":"Anna","family":"Feltre","sequence":"additional","affiliation":[]},{"given":"Wolfram","family":"Kollatschny","sequence":"additional","affiliation":[]},{"given":"Raffaella Anna","family":"Marino","sequence":"additional","affiliation":[]},{"given":"Michael","family":"Maseda","sequence":"additional","affiliation":[]},{"given":"Jorryt","family":"Matthee","sequence":"additional","affiliation":[]},{"given":"Mieke","family":"Paalvast","sequence":"additional","affiliation":[]},{"given":"Johan","family":"Richard","sequence":"additional","affiliation":[]},{"given":"Anne","family":"Verhamme","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2019,4,16]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"4003","DOI":"10.1093\/mnras\/stw1173","volume":"460","author":"Agarwal","year":"2016","journal-title":"MNRAS"},{"key":"R2","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1051\/0004-6361:20034188","volume":"414","author":"Akerman","year":"2004","journal-title":"A&A"},{"key":"R3","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1093\/mnras\/177.1.91","volume":"177","author":"Allen","year":"1976","journal-title":"MNRAS"},{"key":"R4","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1086\/589652","volume":"178","author":"Allen","year":"2008","journal-title":"ApJS"},{"key":"R5","doi-asserted-by":"crossref","first-page":"0052","DOI":"10.1038\/s41550-017-0052","volume":"1","author":"Amor\u00edn","year":"2017","journal-title":"Nat. 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