TOI-3984 A b and TOI-5293 A b: two temperate gas giants transiting mid-M dwarfs in wide binary systems

We confirm the planetary nature of two gas giants discovered by TESS to transit M dwarfs with stellar companions at wide separations. TOI-3984 A (\(J=11.93\)) is an M4 dwarf hosting a short-period (\(4.353326 \pm 0.000005\) days) gas giant (\(M_p=0.14\pm0.03~\mathrm{M_{J}}\) and \(R_p=0.71\pm0.02~\mathrm{R_{J}}\)) with a wide separation white dwarf companion. TOI-5293 A (\(J=12.47\)) is an M3 dwarf hosting a short-period (\(2.930289 \pm 0.000004\) days) gas giant (\(M_p=0.54\pm0.07~\mathrm{M_{J}}\) and \(R_p=1.06\pm0.04~\mathrm{R_{J}}\)) with a wide separation M dwarf companion. We characterize both systems using a combination of ground-based and space-based photometry, speckle imaging, and high-precision radial velocities from the Habitable-zone Planet Finder and NEID spectrographs. TOI-3984 A b (\(T_{eq}=563\pm15\) K and \(\mathrm{TSM}=138_{-27}^{+29}\)) and TOI-5293 A b (\(T_{eq}=675_{-30}^{+42}\) K and \(\mathrm{TSM}=92\pm14\)) are two of the coolest gas giants among the population of hot Jupiter-sized gas planets orbiting M dwarfs and are favorable targets for atmospheric characterization of temperate gas giants and three-dimensional obliquity measurements to probe system architecture and migration scenarios.