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The loneliness of hot Jupiters supports the high-eccentricity migration as aprimary path leading to the formation of systems with those planets stripped ofany close-in planetary companions. Here we present the null results of searchesfor low-mass planets close to hot Jupiters in 10 planetary systems: HAT-P-4,HAT-P-10, HAT-P-12, HAT-P-17, HAT-P-19, HAT-P-32, HAT-P-44, Qatar-6, TrES-4,and WASP-48. We employed multi-sector time-series photometry from theTransiting Exoplanet Survey Satellite enhanced with new ground-based transitlight curves to determine the sizes of hypothetical planets that might stillavoid being detected. We redetermined transit parameters for the known hotJupiters using a homogenous approach. We refuted transit timing variations forHAT-P-12 b, claimed recently in the literature. The transit timing datapermitted us to place tighter constraints on third bodies in HAT-P-19 andHAT-P-32 systems detected in Doppler measurements. We also study fourmulti-periodic pulsating variable stars in the field around HAT-P-17.

Search for planets in hot Jupiter systems with multi-sector TESS photometry. III. A study of ten systems enhanced with new ground-based photometry