Dynamical modeling of the C iv broad line region of the z=2.805 multiply imaged quasar SDSS J2222+2745

We present the first ever models of a broad line region (BLR) at the peak of active galactic nucleus (AGN) activity using the multiply imaged z = 2.805 quasar SDSS J2222+2745. The modeled data consist of monthly spectra covering the broad C IV emission line over a 5.3 yr baseline. The models suggest a thick disk BLR that is inclined by degrees 40 degrees to the observer's line of sight and with an emissivity weighted median radius of = r_median = 33.0(-2.1)(+2.44) light days. The kinematics are dominated by near-circular Keplerian motion with the remainder inflowing. The restframe lag one would measure from the models is tau_median = 36.4(-1.8)(+1.8) days, which is consistent with measurements based on cross-correlation. We show a possible geometry and transfer function based on the model fits and find that the model-produced velocity-resolved lags are consistent with those from cross-correlation. We measure a black hole mass of log₁₀(M_BH/M⊙) = 8.31(-0.06)(+0.07), which requires a scale factor of log₁₀ (f_mean,σ) = 0.20(-0.07)(+0.09.). This is the most precise M_BH measurement for any AGN at cosmological distances and it demonstrates that the precision required for BH-host coevolution studies is attainable.