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The broad line region (BLR) size-luminosity relation has paramount importancefor estimating the mass of black holes in active galactic nuclei (AGNs).Traditionally, the size of the H$\beta$ BLR is often estimated from the opticalcontinuum luminosity at 5100\angstrom{} , while the size of the H$\alpha$ BLRand its correlation with the luminosity is much less constrained. As a part ofthe Seoul National University AGN Monitoring Project (SAMP) which providessix-year photometric and spectroscopic monitoring data, we present ourmeasurements of the H$\alpha$ lags of 6 high-luminosity AGNs. Combined with themeasurements for 42 AGNs from the literature, we derive the size-luminosityrelations of H$\alpha$ BLR against broad H$\alpha$ and 5100\angstrom{}continuum luminosities. We find the slope of the relations to be $0.61\pm0.04$and $0.59\pm0.04$, respectively, which are consistent with the \hb{}size-luminosity relation. Moreover, we find a linear relation between the5100\angstrom{} continuum luminosity and the broad H$\alpha$ luminosity across7 orders of magnitude. Using these results, we propose a new virial massestimator based on the H$\alpha$ broad emission line, finding that the previousmass estimates based on the scaling relations in the literature areoverestimated by up to 0.7 dex at masses lower than $10^7$~M$_{\odot}$.

The Seoul National University AGN Monitoring Project IV: H$\alpha$ reverberation mapping of 6 AGNs and the H$\alpha$ Size-Luminosity Relation