The young HD 73583 (TOI-560) planetary system: Two 10-M$_\oplus$ mini-Neptunes transiting a 750-Myr-old, bright, and active K dwarf

We present the discovery and characterisation of two transiting planets discovered by TESS in the light curves of the young and bright (V=9.67) star HD 73583 (TOI-560). We perform an intensive spectroscopic and photometric space- and ground-based follow-up in order to confirm and characterise the system. We found that HD 73583 is a young (750 Myr) active star with a rotational period of $12.1$ d and a mass and radius of $ 0.71 M_\odot$ and $0.66 R_\odot$, respectively. HD 73583 b ($P_{\rm b}=$ $6.4$d) has a mass and radius of $10 M_\oplus$ and $2.83 \pm 0.10 R_\oplus$, respectively, that gives a density of $2.43 {\rm g\,cm^{-3}}$. HD 73583 c ($P_{\rm c}= 18.9$ d) has a mass and radius of $9.6 M_\oplus$ and $2.37 R_\oplus$, respectively, this translates to a density of $3.97 {\rm g\,cm^{-3}}$. Both planets are consistent with worlds made of a solid core surrounded by a thick envelope. Because of their youth and host star brightness, they both are excellent candidates to perform transmission spectroscopy studies and search for mass-loss signatures. We expect atmospheric mass-loss rates of $2.4 \times 10^{10}\,{\rm g\,s^{-1}}$ and $5.4 \times 10^{9}\,{\rm g\,s^{-1}}$ for HD73583 b and c, respectively. We expect that the detection of evaporating signatures on H and He would be challenging, but doable with present and future instruments.