Abstract
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 +/- 0.000005 days) gas giant (M-p = 0.14 +/- 0.0 3 M-J and R-p = 0.71 +/- 0.02 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 +/- 0.000004 days) gas giant (M-p = 0.54 +/- 0.07 M-J and R-p = 1.06 +/- 0.04 R-J) with a wide-separation M dwarf companion. We characterize both systems using a combination of ground- 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 +/- 15 K and = TSM138(-27)(+29)) and TOI-5293 A b (T-eq=675(-30)(+42) K and TSM = 92 +/- 14) 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 3D obliquity measurements to probe system architecture and migration scenarios.