SIMBAD references

In the present-day universe, supermassive black hole masses (M_BH) appear to be strongly correlated with their galaxy's bulge luminosity, among other properties. In this study we explore the analogous relationship between M_BH, derived using the virial method, and the stellar R-band bulge luminosity (L_R) or stellar bulge mass (M_*) at epochs of 1≲z≲4.5, using a sample of 31 gravitationally lensed AGNs and 20 nonlensed AGNs. At redshifts z>1.7 (10-12 Gyr ago), we find that the observed M_BH-L_Rrelation is nearly the same (to within ∼0.3 mag) as it is today. When the observed L_Rare corrected for luminosity evolution, this means that the black holes grew in mass faster than their hosts, with the M_BH/M_*mass ratio being a factor of ≳4⁺²_–1 times larger at z>1.7 than it is today. By the redshift range 1≲z≲1.7 (8-10 Gyr ago), the M_BH/M_*ratio is at most 2 times higher than today, but it may be consistent with no evolution. Combining the results, we conclude that the ratio M_BH/M_*rises with look-back time, although it may saturate at ~6 times the local value. Scenarios in which moderately luminous quasar hosts at z≳1.7 were fully formed bulges that passively faded to the present epoch are ruled out.