SIMBAD references

The possibility that the masses M_BHof supermassive black holes (SBHs) correlate with the total gravitational mass of their host galaxy, or the mass M_DMof the dark matter halo in which they presumably formed, is investigated using a sample of 16 spiral and 20 elliptical galaxies. The bulge velocity dispersion σ_c, typically defined within an aperture of size R≲0.5 kpc, is found to correlate tightly with the galaxy's circular velocity v_c_, the latter measured at distances from the Galactic center at which the rotation curve is flat, R∼20-80 kpc. By using the well-known M_BH-σ_crelation for SBHs and a prescription to relate v_c_to the mass of the dark matter halo M_DMin a standard ΛCDM cosmology, the correlation between σ_c_and v_c_is equivalent to one between M_BHand M_DM. Such a correlation is found to be nonlinear, with the ratio M_BH/M_DMdecreasing from 2x10^–4 for M_DM∼10¹⁴ M_☉to 10^–5 for M_DM∼10¹² M_☉. Preliminary evidence suggests that halos of mass smaller than ∼5x10¹¹ M_☉are increasingly less efficient at forming SBHs–perhaps even unable to form them.