Comparison of the internal luminosity derived in this work from observations and other (theoretical) studies. The solid dashed lines are from top to bottom the 1:10, 1:1, and 1:0.1 relations. The different panels show the results in comparison with analytical relations (Huang & Cumming 2012; Socrates 2013), numerical modeling (Tremblin et al. 2017), and based on a statistical approach similar to ours (TF18). See text for explanations on the different versions of L_Huang and L_Tremblin. Notice the different scales in each panel. The results based on the analytical approximations of Huang & Cumming (2012) underestimate L_int. There is an agreement with TF18, Tremblin et al. (2017), and Socrates (2013) giving thus evidence for advection of potential temperature and thermal tides as possible mechanisms to explain the radius inflation conundrum.