Two New HATNet Hot Jupiters around A Stars and the First Glimpse at the Occurrence Rate of Hot Jupiters from TESS^∗

<jats:title>Abstract</jats:title> <jats:p>Wide-field surveys for transiting planets are well suited to searching diverse stellar populations, enabling a better understanding of the link between the properties of planets and their parent stars. We report the discovery of HAT-P-69 b (TOI 625.01) and HAT-P-70 b (TOI 624.01), two new hot Jupiters around A stars from the Hungarian-made Automated Telescope Network (HATNet) survey that have also been observed by the <jats:italic>Transiting Exoplanet Survey Satellite</jats:italic>. HAT-P-69 b has a mass of <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ajab36b5ieqn1.gif" xlink:type="simple"/> </jats:inline-formula> <jats:italic>M</jats:italic> <jats:sub>Jup</jats:sub> and a radius of <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ajab36b5ieqn2.gif" xlink:type="simple"/> </jats:inline-formula> <jats:italic>R</jats:italic> <jats:sub>Jup</jats:sub> and resides in a prograde 4.79 day orbit. HAT-P-70 b has a radius of <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ajab36b5ieqn3.gif" xlink:type="simple"/> </jats:inline-formula> <jats:italic>R</jats:italic> <jats:sub>Jup</jats:sub> and a mass constraint of <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ajab36b5ieqn4.gif" xlink:type="simple"/> </jats:inline-formula> <jats:italic>M</jats:italic> <jats:sub>Jup</jats:sub> and resides in a retrograde 2.74 day orbit. We use the confirmation of these planets around relatively massive stars as an opportunity to explore the occurrence rate of hot Jupiters as a function of stellar mass. We define a sample of 47,126 main-sequence stars brighter than <jats:italic>T</jats:italic> <jats:sub>mag</jats:sub> = 10 that yields 31 giant planet candidates, including 18 confirmed planets, 3 candidates, and 10 false positives. We find a net hot Jupiter occurrence rate of 0.41 ± 0.10% within this sample, consistent with the rate measured by <jats:italic>Kepler</jats:italic> for FGK stars. When divided into stellar mass bins, we find the occurrence rate to be 0.71 ± 0.31% for G stars, 0.43 ± 0.15% for F stars, and 0.26 ± 0.11% for A stars. Thus, at this point, we cannot discern any statistically significant trend in the occurrence of hot Jupiters with stellar mass.</jats:p>