The total (full + partial) event rate density in the ﹩\mathrm{log}{M}_{{\rm{BH}}}\times \mathrm{log}{L}_{{\rm{peak}}}﹩ plane for flux-limited samples. Left: using the single power-law main-sequence mass–radius relation; right: the broken power-law main-sequence mass–radius relation. In both cases, the stellar mass function is a Salpeter IMF with no mass cutoff, and α_BH = 0. Note that the right panel extends to higher luminosities than the left panel. Rates (arbitrary units) are shown on a linear scale calibrated by the color bar.