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We report the discovery of a planetary system orbiting TOI-763 (aka CD-397945), a $V=10.2$, high proper motion G-type dwarf star that wasphotometrically monitored by the TESS space mission in Sector 10. We obtain andmodel the stellar spectrum and find an object slightly smaller than the Sun,and somewhat older, but with a similar metallicity. Two planet candidates werefound in the light curve to be transiting the star. Combining TESS transitphotometry with HARPS high-precision radial velocity follow-up measurementsconfirm the planetary nature of these transit signals. We determine masses,radii, and bulk densities of these two planets. A third planet candidate wasdiscovered serendipitously in the radial velocity data. The inner transitingplanet,TOI-763 b, has an orbital period of $P_\mathrm{b}$ = 5.6~days, a mass of$M_\mathrm{b}$ = $9.8\pm0.8$ $M_\oplus$, and a radius of $R_\mathrm{b}$ =$2.37\pm0.10$ $R_\oplus$. The second transiting planet,TOI-763 c, has anorbital period of $P_\mathrm{c}$ = 12.3~days, a mass of $M_\mathrm{c}$ =$9.3\pm1.0$ $M_\oplus$, and a radius of $R_\mathrm{c}$ = $2.87\pm0.11$$R_\oplus$. We find the outermost planet candidate to orbit the star with aperiod of $\sim$48~days. If confirmed as a planet it would have a minimum massof $M_\mathrm{d}$ = $9.5\pm1.6$ $M_\oplus$. We investigated the TESS lightcurve in order to search for a mono transit by planet~d without success. Wediscuss the importance and implications of this planetary system in terms ofthe geometrical arrangements of planets orbiting G-type stars.

The TOI-763 system: sub-Neptunes orbiting a Sun-like star