inline image–σ relation between supermassive black holes and the velocity dispersion of globular cluster systems




We find evidence that the mass MBH of central supermassive black holes (SMBHs) correlates with the velocity dispersion σGC of globular cluster systems of their host galaxies. This extends the well-known MBH–σsph relation between black hole mass and velocity dispersion of the host spheroidal component. We compile published measurements of both MBH and σGC for a sample of 13 systems and find the relation log (MBH) =α+βlog (σGC/200), with α= 8.63 ± 0.09 and β= 3.76 ± 0.52. We also consider blue (metal-poor) and red (metal-rich) globular cluster subpopulations separately and obtain a surprisingly tight correlation using only the velocity dispersion inline image of the red clusters with α= 8.73 ± 0.09 and β= 3.84 ± 0.52 and an intrinsic scatter ɛ0= 0.22 dex compared to ɛ0= 0.27 dex for the MBH–σsph relation of our sample. We use this MBHinline image relation to estimate the central black hole mass in five galaxies for which inline image is measured.