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
Alister W. Graham, Nicholas Scott

TL;DR
This study investigates the relationship between black hole mass and host galaxy luminosity, revealing different scaling laws for galaxy types and proposing a quadratic growth model for black holes in gas-rich galaxies, with implications for intermediate-mass black hole candidates.
Contribution
It distinguishes the M_bh-L relation for core-Sersic and Sersic galaxies, introduces a quadratic growth model for black holes, and predicts intermediate-mass black hole candidates.
Findings
Core-Sersic galaxies follow a near-linear M_bh-L relation.
Sersic galaxies exhibit a quadratic M_bh-M_sph relation.
Predicted intermediate-mass black hole masses in low luminosity spheroids.
Abstract
From a sample of 72 galaxies with reliable supermassive black hole masses M_(bh), we derive the M_(bh)-(host spheroid luminosity, L) relation for (i) the subsample of 24 core-Sersic galaxies with partially depleted cores, and (ii) the remaining subsample of 48 Sersic galaxies. Using (K_s)-band 2MASS data, we find the near-linear relation M_(bh) ~ L_(K_s)^(1.10+/-0.20) for the core-Sersic spheroids thought to be built in additive dry merger events, while M_(bh) ~ L_(K_s)^(2.73+/-0.55) for the Sersic spheroids built from gas-rich processes. After converting literature B-band disk galaxy magnitudes into inclination- and dust-corrected bulge magnitudes, via a useful new equation presented herein, we obtain a similar result. Unlike with the M_(bh)-sigma diagram, which is also updated here using the same galaxy sample, it remains unknown whether barred and non-barred Sersic galaxies are…
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