Title:Echo mapping of the black hole accretion flow in NGC 7469

Abstract:Reverberation mapping (RM) can measure black hole accretion disc sizes and radial structure through observed time lags that should increase with wavelength as $\tau\propto\lambda^{4/3}$. Our 250-day RM campaign on NGC 7469 combines sub-day cadence 7-band photometry from the Las Cumbres Observatory robotic telescopes and weekly X-ray and UVOT data from Swift. By fitting these light curves, we measure the spectral energy distribution of the variable accretion disc and inter-band lags of just 1.5 days across the UV to the optical range. The disc SED is close to the expected $f_\nu\propto\nu^{1/3}$, and the lags are consistent with $\tau\propto \lambda^{4/3}$, but three times larger than expected. We consider several possible modifications to standard disc assumptions. First, for a $9\times10^6$ M$_\odot$ black hole and 2 possible spins $a^\star=(0,1)$, we fit the X-ray-UV-optical SED with a compact relativistic corona at height $H_x=(46,27)R_g$ irradiating a flat disc with accretion rate $\dot{m}_{Edd}\sim(0.23,0.24)$ inclined to the line of sight by $i<20^\circ$. To fit the lags as well as the SED, this model requires a low spin $a^\star=0$ and boosts disc color temperatures by a factor $f_{col}=1.8$, which shifts reprocessed light to shorter wavelengths. Our Bowl model with $f_{col}=1$ neglects relativity near the black hole but fits the UV-optical lags and SEDs using a flat disc with $\dot{m}_{Edd}<0.06$ and a steep outer rim at $R_{out}/c\sim5-10$ days with H/R<1%. This rim occurs near the $10^3$K dust sublimation temperature in the disc atmosphere, supporting models that invoke dust opacity to thicken the disc and launch failed radiatively-driven dusty outflows at the inner edge of the broad line region (BLR). Finally, the disc lags and SEDs exhibit a significant excess in the $u$ and $r$ bands, suggesting the Balmer continuum and H$\alpha$ emission, respectively, from the BLR.