González-Buitrago, Diego H.Diego H.González-BuitragoBarth, Aaron J.Aaron J.BarthEdelson, Richard A.Richard A.EdelsonSantisteban, Juan V.HernándezJuan V.HernándezSantistebanHörne, Keith D.Keith D.HörneSchmidt, ThomasThomasSchmidtLi, YanrongYanrongLiGuo, HengxiaoHengxiaoGuoJoner, Michael D.Michael D.JonerCackett, Edward M.Edward M.Cackett2025-10-102025-10-10202513652966; 00358711https://hdl.handle.net/20.500.12740/23351We present ground-based multiband light curves of the AGN Mrk 509, NGC 4151, and NGC 4593 obtained contemporaneously with Swift monitoring. We measure cross-correlation lags relative to Swift UVW2 (1928 Å) and test the standard prediction for disc reprocessing, which assumes a geometrically thin optically thick accretion disc where continuum interband delays follow the relation τ (λ) ∝ λ4/3. For Mrk 509 the 273-d Swift campaign gives well-defined lags that increase with wavelength as τ (λ) ∝ λ2.17±0.2, steeper than the thin-disc prediction, and the optical lags are a factor of ∼ 5 longer than expected for a simple disc-reprocessing model. This ‘disc-size discrepancy’ as well as excess lags in the u and r bands (which include the Balmer continuum and H α, respectively) suggest a mix of short lags from the disc and longer lags from nebular continuum originating in the broad-line region. The shorter Swift campaigns, 69 d on NGC 4151 and 22 d on NGC 4593, yield less well-defined shorter lags < 2 d. The NGC 4593 lags are consistent with τ (λ) ∝ λ4/3 but with uncertainties too large for a strong test. For NGC 4151 the Swift lags match τ (λ) ∝ λ4/3, with a small U-band excess, but the ground-based lags in the r, i, and z bands are significantly shorter than the B and g lags, and also shorter than expected from the thin-disc prediction. The interpretation of this unusual lag spectrum is unclear. Overall these results indicate significant diversity in the τ–λ relation across the optical/UV/NIR, which differs from the more homogeneous behaviour seen in the Swift bands. © 2025 Elsevier B.V., All rights reserved.restrictedAccessASTROMETRYGALAXIES: DISCGALAXIES: NUCLEIBINARY ALLOYSGALAXIESNUCLEAR FUEL REPROCESSINGCROSS-CORRELATIONSGALAXIES:NUCLEIGALAXY: DISKSGROUND BASEDGROUND-BASED MONITORINGLIGHT CURVESMULTI BANDOPTICAL-THIN DISKFORECASTINGArtículo https://doi.org/10.1093/mnras/staf1334