TOI-1442 b and TOI-2445 b: two ultra-short period super-Earths around M dwarfs

Context. Exoplanets with orbital periods of less than one day are know as Ultra-short period (USP) planets. They are relatively rare products of planetary formation and evolution processes, but especially favourable to current planet detection methods. At the time of writing, 120 USP planets have already been confirmed. Aims. We aim to confirm the planetary nature of two new transiting planet candidates announced by the NASA's Transiting Exoplanet Survey Satellite (TESS), registered as TESS Objects of Interest (TOIs) TOI-1442.01 and TOI-2445.01. Methods. We use the TESS data, ground-based photometric light-curves and Subaru/IRD spectrograph radial velocity (RV) measurements to validate both planetary candidates and to establish their physical properties. Results. TOI-1442 b is a hot super-Earth with an orbital period of $P = 0.4090682 \pm 0.0000004 \, d$, a radius of $R_{\mathrm{p}} = 1.27_{-0.44}^{+0.50} R_{\oplus}$, equilibrium temperature of $T_{\mathrm{p,eq}} = 1359_{-42}^{+49} \, K$, and a mass $M_{\mathrm{p}} < 18 M_{\oplus}$ at 3$\sigma$. TOI-2445 b is also a hot super-Earth/mini-Neptune with an orbital period of $P = 0.3711286 \pm 0.0000004 \, d$, a radius of $R_{\mathrm{p}} = 1.52_{-0.26}^{+1.20} R_{\oplus}$, equilibrium temperature of $T_{\mathrm{p,eq}} = 1332_{-57}^{+61} \, K$, and a mass $M_{\mathrm{p}} < 38 M_{\oplus}$ at 3$\sigma$. Their physical properties align with current empirical trends and formation theories of USP planets. More RV measurements will be useful to constrain the planetary masses and mean densities, as well as the predicted presence of outer planetary companions.