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A turnover in the sequence has been observed, where galaxies with <jats:italic>M<\/jats:italic><jats:sub>*<\/jats:sub>\u2004&lt; \u200410<jats:sup>10<\/jats:sup>\u2006<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub> follow a steeper relation than their higher mass counterparts, suggesting that the low-mass slope is (nearly) linear. In this paper, we characterise the properties of the low-mass end of the star formation sequence between 7\u2004\u2264\u2004log\u2006<jats:italic>M<\/jats:italic><jats:sub>*<\/jats:sub>[<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>]\u2006\u2004\u2264\u2004\u200610.5 at redshift 0.11\u2004&lt; \u2004<jats:italic>z<\/jats:italic>\u2006\u2004&lt; \u2004\u20060.91. We use the deepest MUSE observations of the <jats:italic>Hubble<\/jats:italic> Ultra Deep Field and the <jats:italic>Hubble<\/jats:italic> Deep Field South to construct a sample of 179 star-forming galaxies with high signal-to-noise emission lines. Dust-corrected SFRs are determined from H<jats:italic>\u03b2<\/jats:italic>\u2006<jats:italic>\u03bb<\/jats:italic>4861 and H<jats:italic>\u03b1<\/jats:italic>\u2006<jats:italic>\u03bb<\/jats:italic>6563. We model the star formation sequence with a Gaussian distribution around a hyperplane between log<jats:italic>M<\/jats:italic><jats:sub>*<\/jats:sub>, logSFR, and log(1\u2005+\u2005<jats:italic>z<\/jats:italic>), to simultaneously constrain the slope, redshift evolution, and intrinsic scatter. We find a sub-linear slope for the low-mass regime where log SFR [<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>yr<jats:sup>\u22121<\/jats:sup>] = 0.83<jats:sup>+0.07<\/jats:sup><jats:sub>\u22120.06<\/jats:sub> log <jats:italic>M<\/jats:italic><jats:sub>*<\/jats:sub>[<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>]+1.74<jats:sup>+0.66<\/jats:sup><jats:sub>\u22120.68<\/jats:sub> log(1 + <jats:italic>z<\/jats:italic>), increasing with redshift. We recover an intrinsic scatter in the relation of <jats:italic>\u03c3<\/jats:italic><jats:sub>intr<\/jats:sub> = 0.44<jats:sup>+0.05<\/jats:sup><jats:sub>\u22120.04<\/jats:sub>, dex, larger than typically found at higher masses. As both hydrodynamical simulations and (semi-)analytical models typically favour a steeper slope in the low-mass regime, our results provide new constraints on the feedback processes which operate preferentially in low-mass halos.<\/jats:p>","DOI":"10.1051\/0004-6361\/201833136","type":"journal-article","created":{"date-parts":[[2018,8,14]],"date-time":"2018-08-14T20:46:51Z","timestamp":1534279611000},"page":"A27","source":"Crossref","is-referenced-by-count":92,"title":["The MUSE <i>Hubble<\/i> Ultra Deep Field Survey"],"prefix":"10.1051","volume":"619","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3952-8588","authenticated-orcid":false,"given":"Leindert A.","family":"Boogaard","sequence":"first","affiliation":[]},{"given":"Jarle","family":"Brinchmann","sequence":"additional","affiliation":[]},{"given":"Nicolas","family":"Bouch\u00e9","sequence":"additional","affiliation":[]},{"given":"Mieke","family":"Paalvast","sequence":"additional","affiliation":[]},{"given":"Roland","family":"Bacon","sequence":"additional","affiliation":[]},{"given":"Rychard J.","family":"Bouwens","sequence":"additional","affiliation":[]},{"given":"Thierry","family":"Contini","sequence":"additional","affiliation":[]},{"given":"Madusha L. 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