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Here, we present the results of our long-term astrometric observations of the nearest binary M-dwarf Gliese 65 AB (GJ65), located at a distance of only 2.67 pc. We monitored the relative astrometry of the two components from 2016 to 2023 with the VLTI\/GRAVITY interferometric instrument. We derived highly accurate orbital parameters for the stellar system, along with the dynamical masses of the two red dwarfs. The GRAVITY measurements exhibit a mean accuracy per epoch of 50\u221260 ms in 1.5 h of observing time using the 1.8 m Auxiliary Telescopes. The residuals of the two-body orbital fit enable us to search for the presence of companions orbiting one of the two stars (S-type orbit) through the reflex motion they imprint on the differential A\u2013B astrometry. We detected a Neptune-mass candidate companion with an orbital period of<jats:italic>p<\/jats:italic>\u2004=\u2004156\u2005\u00b1\u20051 d and a mass of<jats:italic>m<\/jats:italic><jats:sub>p<\/jats:sub>\u2004=\u200436\u2005\u00b1\u20057\u2006<jats:italic>M<\/jats:italic><jats:sub>\u2295<\/jats:sub>. The best-fit orbit is within the dynamical stability region of the stellar pair. It has a low eccentricity,<jats:italic>e<\/jats:italic>\u2004=\u20040.1\u2005\u2212\u20050.3, and the planetary orbit plane has a moderate-to-high inclination of<jats:italic>i<\/jats:italic>\u2004&gt;\u200430\u00b0 with respect to the stellar pair, with further observations required to confirm these values. These observations demonstrate the capability of interferometric astrometry to reach microarcsecond accuracy in the narrow-angle regime for planet detection by reflex motion from the ground. This capability offers new perspectives and potential synergies with<jats:italic>Gaia<\/jats:italic>in the pursuit of low-mass exoplanets in the solar neighborhood.<\/jats:p>","DOI":"10.1051\/0004-6361\/202449547","type":"journal-article","created":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T18:51:20Z","timestamp":1713207080000},"page":"L9","source":"Crossref","is-referenced-by-count":5,"title":["Astrometric detection of a Neptune-mass candidate planet in the nearest M-dwarf binary system GJ65 with VLTI\/GRAVITY"],"prefix":"10.1051","volume":"685","author":[{"name":"GRAVITY Collaboration","sequence":"first","affiliation":[]},{"given":"R.","family":"Abuter","sequence":"additional","affiliation":[]},{"given":"A.","family":"Amorim","sequence":"additional","affiliation":[]},{"given":"M.","family":"Benisty","sequence":"additional","affiliation":[]},{"given":"J. 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