Ratio of the mass-loss rates obtained following the energy-limited formalism (Ṁ_ζ) and from hydrodynamic simulations (Ṁ_hc). Top: plotted as a function of Ṁ_hc. Bottom: plotted as a function of Λ. The dark green and bright blue points represent planets that do and do not comply with the subsonic condition, respectively(see Sect. 5.1). In both panels, the red and blue lines mark the regions within which Ṁ_ζ and Ṁ_hc differ by less than a factor of two and ten, respectively.