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From a sample of 72 galaxies with reliable supermassive black hole massesM_(bh), we derive the M_(bh)-(host spheroid luminosity, L) relation for (i) thesubsample of 24 core-Sersic galaxies with partially depleted cores, and (ii)the remaining subsample of 48 Sersic galaxies. Using (K_s)-band 2MASS data, wefind the near-linear relation M_(bh) ~ L_(K_s)^(1.10+/-0.20) for thecore-Sersic spheroids thought to be built in additive dry merger events, whileM_(bh) ~ L_(K_s)^(2.73+/-0.55) for the Sersic spheroids built from gas-richprocesses. After converting literature B-band disk galaxy magnitudes intoinclination- and dust-corrected bulge magnitudes, via a useful new equationpresented herein, we obtain a similar result. Unlike with the M_(bh)-sigmadiagram, which is also updated here using the same galaxy sample, it remainsunknown whether barred and non-barred Sersic galaxies are offset from eachother in the M_(bh)-L diagram.  While black hole feedback has typically been invoked to explain what waspreviously thought to be a nearly constant M_bh/M_sph mass ratio of ~0.2%, weadvocate that the near-linear M_bh-L and M_bh-M_sph relations observed at highmasses may have instead largely arisen from the additive dry merging ofgalaxies. We argue that feedback results in a dramatically different scalingrelation, such that black hole mass scales roughly quadratically with thespheroid mass in Sersic galaxies. We therefore introduce a revised cold-gas'quasar' mode feeding equation for semi-analytical models to reflect what wedub the "quadratic growth" of black holes in Sersic galaxies built amidstgas-rich processes. Finally, we use our new Sersic M_bh-L equations to predictthe masses of candidate `intermediate mass' black holes in almost 50 lowluminosity spheroids containing AGN, finding many masses between that ofstellar mass black holes and supermassive black holes.

astrophysical journal/the astrophysical journal

The (black hole mass)-(host spheroid luminosity) relation at high and  low masses, the quadratic growth of black holes, and intermediate-mass black  hole candidates