Pre-SN mass (dash-dotted light blue line), pre-SN mass extrapolated for M_ZAMS > 120M_⊙ (dotted gray line), remnant mass (solid violet line), and the remnant mass for the stars that develop pair instabilities (dashed yellow line), as a function of M_ZAMS. The red points represent the stellar progenitors of the FRANEC grid, while the larger red squares correspond to the last progenitor stable against pair production, which has been obtained through interpolation (see Sect. 2.3 and Table C.1). The shaded gray area represents the region of DC, the shaded yellow area shows where stars undergo PPISNe. The vertical dashed lines represent the threshold values above which stars enter the PI regions.