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) giant ($M_p=0.14\pm0.03~\mathrm{M_{J}}$ and $R_p=0.71\pm0.02~\mathrm{R_{J}}$) separation white companion. TOI-5293 ($J=12.47$) M3 ($2.930289 0.000004$ ($M_p=0.54\pm0.07~\mathrm{M_{J}}$ $R_p=1.06\pm0.04~\mathrm{R_{J}}$) characterize both systems using combination ground-based space-based photometry, speckle imaging, high-precision radial velocities from Habitable-zone Planet Finder NEID spectrographs. b ($T_{eq}=563\pm15$ K $\mathrm{TSM}=138_{-27}^{+29}$) ($T_{eq}=675_{-30}^{+42}$ $\mathrm{TSM}=92\pm14$) are coolest among population hot Jupiter-sized planets orbiting favorable targets for atmospheric characterization temperate three-dimensional obliquity measurements probe system architecture migration scenarios.