In Yoshii et al. (2014), we described a new method for measuring
extragalactic distances based on dust reverberation in active galactic nuclei
(AGNs), and we validated our new method with Cepheid variable stars. In this
paper, we validate our new method with Type Ia supernovae (SNe Ia) which
occurred in two of the AGN host galaxies during our AGN monitoring program: SN
2004bd in NGC 3786 and SN 2008ec in NGC 7469. Their multicolor light curves
were observed and analyzed using two widely accepted methods for measuring SN
distances, and the distance moduli derived are μ=33.47±0.15 for SN
2004bd and 33.83±0.07 for SN 2008ec. These results are used to obtain
independently the distance measurement calibration factor, g. The g value
obtained from the SN Ia discussed in this paper is gSN=10.61±0.50
which matches, within the range of 1σ uncertainty, gDUST=10.60, previously calculated ab initio in Yoshii et al. (2014). Having
validated our new method for measuring extragalactic distances, we use our new
method to calibrate reverberation distances derived from variations of Hβ
emission in the AGN broad line region (BLR), extending the Hubble diagram to
z≈0.3 where distinguishing between cosmologies is becoming possible.Comment: Astrophysical Journal Letters accepte