M - sigma relation between SMBHs and the velocity dispersion of globular cluster systems

Abstract

We find evidence that the mass MBH of central supermassive black holes (SMBHs) correlates with the velocity dispersion sigma_GC of globular cluster systems of their host galaxies. This extends the well-known MBH - sigma_sph relation between black hole mass and velocity dispersion of the host spheroidal component. We compile published measurements of both MBH and sigma_GC for a sample of 13 systems and find the relation log(MBH) = alpha + beta log(sigma_GC/200) with alpha = 8.63 \pm 0.09 and beta = 3.76 \pm 0.52. We also consider blue (metal-poor) and red (metal-rich) globular clusters sub-populations separately and obtain a surprisingly tight correlation using only the velocity dispersion sigma_GC^red of the red clusters with alpha = 8.73 \pm 0.09 and beta = 3.84 \pm 0.52 and an intrinsic scatter eps_0 = 0.22 dex compared to eps_0 = 0.27 dex for the MBH - sigma_sph of our sample. We use our MBH - sigma_GC relation to estimate the central black hole mass in five galaxies for which sigma_GC^red is measured.