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Paper: Black Hole Mass Function from Velocity Dispersion and Luminosity
Volume: 396, Formation and Evolution of Galaxy Disks
Page: 89
Authors: Tundo, E.; Bernardi, M.; Sheth, R.K.; Hyde, J.B.; Pizzella, A.
Abstract: Black hole masses are tightly correlated with the stellar velocity dispersion σ of host galaxies, and slightly less-well correlated with the bulge luminosities L. The M-σ relation predicts fewer massive black holes than does the M-L relation. This is because the L-σ in black hole samples currently available is inconsistent with that in the samples from which the distributions of L or σ are based. This suggests that current black hole samples are biased and that the M-σ and M-L relations currently in the literature are also biased from their intrinsic values. Our analysis suggests that the bias in the M-σ relation is likely to be small, whereas the M-L relation is biased towards predicting more massive black holes for a given luminosity.
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