We find evidence that the mass M _ { \mathrm { BH } } of central supermassive black holes ( SMBHs ) correlates with the velocity dispersion \sigma _ { \mathrm { GC } } of globular cluster systems of their host galaxies .
This extends the well-known M _ { \mathrm { BH } } - \sigma _ { sph } relation between black hole mass and velocity dispersion of the host spheroidal component .
We compile published measurements of both M _ { \mathrm { BH } } and \sigma _ { \mathrm { GC } } for a sample of 13 systems and find the relation \log ( M _ { \mathrm { BH } } ) = \alpha + \beta \log ( \sigma _ { \mathrm { 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 _ { \mathrm { GC } } ^ { \mathrm { red } } of the red clusters with \alpha = 8.73 \pm 0.09 and \beta = 3.84 \pm 0.52 and an intrinsic scatter \varepsilon _ { 0 } = 0.22 dex compared to \varepsilon _ { 0 } = 0.27 dex for the M _ { \mathrm { BH } } - \sigma _ { sph } of our sample .
We use this M _ { \mathrm { BH } } - \sigma _ { \mathrm { GC } } ^ { \mathrm { red } } relation to estimate the central black hole mass in five galaxies for which \sigma _ { \mathrm { GC } } ^ { \mathrm { red } } is measured .