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The ability to accurately derive black hole (BH) masses at progressivelyhigher redshifts and over a wide range of continuum luminosities has becomeindispensable in the era of large-area extragalactic spectroscopic surveys. Inthis paper we present an extension of existing comparisons between rest-frameUV and optical virial BH mass estimators to intermediate redshifts andluminosities comparable to the local H$\beta$ reverberation mapped activegalactic nuclei (AGN). We focus on the MgII, CIV, and CIII] broad emissionlines and compare them to both H$\alpha$ and H$\beta$. We use newly acquirednear-infrared spectra from the FMOS instrument on the Subaru telescope for 89broad-lined AGN at redshifts between 0.3 and 3.5, complemented by data from theAGES survey. We employ two different prescriptions for measuring the emissionline widths and compare the results. We confirm that MgII shows a tightcorrelation with H$\alpha$ and H$\beta$, with a scatter of ~0.25 dex. The CIVand CIII] estimators, while showing larger scatter, are viable virial massestimators after accounting for a trend with the UV-to-optical luminosityratio. We find an intrinsic scatter of ~0.37 dex between Balmer and carbonvirial estimators by combining our dataset with previous high redshiftmeasurements. This updated comparison spans a total of 3 decades in BH mass. Wecalculate a virial factor for CIV/CIII] logf(CIV/CIII])=0.87 with an estimatedsystematic uncertainty of ~0.4 dex and find excellent agreement between thelocal reverberation mapped AGN sample and our high-z sample.

Rest-frame UV single-epoch black hole mass estimates of low-luminosity AGN at intermediate redshifts