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Dust Reverberation of 3C273: torus structure and lag -- luminosity relation

We monitored the z=0.158 quasar 3C273 between 2015 and 2019 in the optical (BVrz) and near-infrared (JHK) with the aim to perform dust reverberation mapping. Accounting for host galaxy and accretion disk contributions, we obtained pure dust light curves in JHK. Cross correlations between the V-band and the dust light curves yield an average rest-frame delay for the hot dust of tau_cent ~ 410 days. This is a factor 2 shorter than expected from the the dust ring radius R_x ~ 900 light days reported from interferometric studies. The dust covering factor (CF) is about 8%, much smaller than predicted from the half covering angle of 45 degree found for active galactic nuclei (AGN). We analyse the asymmetric shape of the correlation functions and explore whether an inclined bi-conical bowl-shaped dust torus geometry could bring these findings (tau_cent, R_x and CF) into a consistent picture. The hot varying dust emission originates from the edge of the bowl rim with a small covering angle 40 < theta < 45 degree, and we see only the near side of the bi-conus. Such a dust gloriole with R_x = 900 +/- 200 ld and an inclination i = 12 degree matches the data remarkably well. Comparing the results of 3C273 with literature for less luminous AGN, we find a lag-luminosity relation tau propto L^alpha with alpha between 0.33 and 0.40, flatter than the widely adopted relation with alpha = 0.5. We address several explanations for the new lag - luminosity relation.