Estimating AGN Black Hole Masses via Continuum Reverberation Mapping in the Era of LSST postprint

Abstract: Spectroscopic reverberation mapping (RM) is a direct approach widely used to estimate the mass of black holes (BHs) in active galactic nuclei (AGNs). However, it is very time-consuming and difficult to apply to a large AGN sample. The empirical relation between the broad-line region (BLR) size and luminosity (H$\beta$ $R_{\rm BLR}\unicode{x2013}L_{\rm}$) provides a practical alternative yet subject to large scatter and systematic bias. AGN continuum RM (CRM) recently discovered a similar relation between the continuum emitting region (CER) size and luminosity ($R_{\rm CER}\unicode{x2013}L$). Here we present a new method to estimate BH masses via optical CRM assuming continuum lags dominated by the diffuse continuum emission. This method will significantly facilitate the estimation of RM BH mass thanks to the short continuum lags and the easily accessible high-cadence and large-area photometric data. Using a sample of 21 AGNs with both CER and BLR size, we find a tight $R_{\rm BLR}\unicode{x2013}R_{\rm CER}$ relation (scatter $\sim0.28$ dex), with $R_{\rm BLR}$ on average 8.1 times of $R_{\rm CER}$ at 5100\r{A}. This tight relation enables the BH mass estimation based on the CRM combined with the velocity information. Applying the relation to rest objects in our CRM sample, we demonstrate that the predicted $R_{\rm BLR,CRM}$ follow the existing H$\beta$ $R_{\rm BLR}\unicode{x2013}L_{\rm}$ relation well and the estimated CRM BH masses are consistent with the RM/single-epoch BH masses using H$\beta$. Our proposed method will be a promising BH mass estimator in the era of Legacy Survey of Space and Time.