TOI-3714 b and TOI-3629 b: Two Gas Giants Transiting M Dwarfs Confirmed with the Habitable-zone Planet Finder and NEID

We confirm the planetary nature of two gas giants discovered by the Transiting Exoplanet Survey Satellite to transit M dwarfs. TOI-3714 (V = 15.24, J = 11.74) is an M2 dwarf hosting a hot Jupiter (M-p = 0.70 +/- 0.03 M-J and R-p = 1.01 +/- 0.03 R-J) on an orbital period of 2.154849 +/- 0.000001 days with a resolved white dwarf companion. TOI-3629 (V = 14.63, J = 11.42) is an M1 dwarf hosting a hot Jupiter (M-p = 0.26 +/- 0.02 M-J and R-p = 0.74 +/- 0.02 R-J) on an orbital period of 3.936551(-0.000006)(+0.000005 )days. We characterize each transiting companion using a combination of ground-based and space-based photometry, speckle imaging, and high-precision velocimetry from the Habitable-zone Planet Finder and the NEID spectrographs. With the discovery of these two systems, there are now nine M dwarfs known to host transiting hot Jupiters. Among this population, TOI-3714 b (T-eq = 750 +/- 20 K and TSM = 98 +/- 7) and TOI-3629 b (T-eq = 690 +/- 20 K and TSM = 80 +/- 9) are warm gas giants amenable to additional characterization with transmission spectroscopy to probe atmospheric chemistry and, for TOI-3714, obliquity measurements to probe formation scenarios.