  The relative rarity of giant planets around low mass stars compared with
solar-type stars is a key prediction from core accretion planet formation
theory. In this paper we report on the discovery of four gas giant planets that
transit low mass late K and early M dwarfs. The planets HATS-74Ab (TOI 737b),
HATS-75b (TOI 552b), HATS-76b (TOI 555b), and HATS-77b (TOI 730b), were all
discovered from the HATSouth photometric survey and followed-up using TESS and
other photometric facilities. We use the new ESPRESSO facility at the VLT to
confirm and systems and measure their masses. We find that that planets have
masses of 1.46 +- 0.14 MJ , 0.491 +- 0.039 MJ , 2.629 +- 0.089 MJ and 1.374
+0.100-0.074 MJ , respectively, and radii of 1.032 +- 0.021 RJ , 0.884 +- 0.013
RJ , 1.079 +- 0.031 RJ , and 1.165 +- 0.021 RJ, respectively. The planets all
orbit close to their host stars with orbital periods ranging from 1.7319 d to
3.0876 d. With further work we aim to test core accretion theory by using these
and further discoveries to quantify the occurrence rate of giant planets around
low mass host stars.
