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The knowledge of the ages of stars hosting exoplanets allows us to obtain anoverview on the evolution of exoplanets and understand the mechanisms affectingtheir life. The measurement of the ages of stars in the Galaxy is usuallyaffected by large uncertainties. An exception are the stellar clusters: fortheir coeval members, born from the same molecular cloud, ages can be measuredwith extreme accuracy. In this context, the project PATHOS is providingcandidate exoplanets orbiting members of stellar clusters and associationsthrough the analysis of high-precision light curves obtained with cutting-edgetools. In this work, we exploited the data collected during the second year ofthe TESS mission. We extracted, analysed, and modelled the light curves of$\sim 90000$ stars in open clusters located in the northern ecliptic hemispherein order to find candidate exoplanets. We measured the frequencies of candidateexoplanets in open clusters for different orbital periods and planetary radii,taking into account the detection efficiency of our pipeline and the falsepositive probabilities of our candidates. We analysed the Age--$R_{\rm P}$distribution of candidate and confirmed exoplanets with periods $<100$ days andwell constrained ages. While no peculiar trends are observed for Jupiter-sizeand (super-)Earth-size planets, we found that objects with $4\,R_{\rm Earth}\lesssim R_{\rm P} \lesssim 13\,R_{\rm Earth}$ are concentrated at ages$\lesssim 200$ Myr; different scenarios (atmospheric losses, migration, etc.)are considered to explain the observed age-$R_{\rm P}$ distribution.

monthly notices of the royal astronomical society

A PSF-based Approach to TESS High quality data Of Stellar clusters  (PATHOS) -- IV. Candidate exoplanets around stars in open clusters: frequency  and age-planetary radius distribution