Context : Evolved stars are crucial pieces to understand the dependency of the planet formation mechanism on the stellar mass and to explore deeper the mechanism involved in star-planet interactions .
Over the past ten years , we have monitored about 1000 evolved stars for radial velocity variations in search for low-mass companions under the Penn State - Torun Centre for Astronomy Planet Search program with the Hobby-Eberly Telescope .
Selected prospective candidates that required higher RV precision measurements have been followed with HARPS-N at the 3.6 m Telescopio Nazionale Galileo under the TAPAS project .

Aims : We aim to detect planetary systems around evolved stars to be able to build sound statistics on the frequency and intrinsic nature of these systems , and to deliver in-depth studies of selected planetary systems with evidence of star-planet interaction processes .

Methods : For HD 5583 we obtained 14 epochs of precise RV measurements collected over 2313 days with the Hobby-Eberly Telescope ( HET ) , and 22 epochs of ultra-precise HARPS-N data collected over 976 days .
For BD+15 2375 we collected 24 epochs of HET data over 3286 days and 25 epochs of HARPS-S data over 902 days .

Results : We report the discovery of two planetary mass objects orbiting two evolved Red Giant stars : HD 5583 has a m \sin i = 5.78 \hbox { $ \thinspace M _ { \mathrm { J } } $ } companion at 0.529 AU in a nearly circular orbit ( e = 0.076 ) , the closest companion to a giant star detected with the RV technique , and BD+15 2735 that with a m sin i= 1.06 Mj holds the record of the lightest planet found so far orbiting an evolved star ( in a circular e = 0.001 , 0.576 AU orbit ) .
These are the third and fourth planets found within the TAPAS project , a HARPS-N monitoring of evolved planetary systems identified with the Hobby-Eberly Telescope .

Conclusions :