Circumplanetary disk accretion models from Zhu (2015). The product of the mass of the planet and the disk accretion rate (M_pṀ) changes as a function of the disk inner radius (R_in). The solid blue and green lines represent the M_pṀ vs. R_in curve for the measured L^′-band absolute magnitude ( mag), in the case of a full or a truncated circumplanetary disk, respectively. The dotted lines indicate the 1σ error bars.