X-Ray Reflection Signatures of Supermassive Black Hole Binaries

We investigate the presence of supermassive black hole (SMBH) binary signatures and the feasibility of identifying them through X-ray reflection spectra. The X-ray emitting region is modeled as a set of two mini-disks bound to the individual SMBHs separated by 100 $GM/c^2$ and the spectra calculated as a function of the mass, mass ratio, and total accretion rate of the binary. The X-ray reflection features are strongly influenced by the accretion-inversion phenomenon expected in SMBH binaries, which results in a wide range of ionization conditions in the two mini-disks. These are imprinted in the resulting composite spectra and the double-peaked and time-variable relativistic Fe K$\alpha$ line profiles. To test whether these features can be used as evidence for the presence of an SMBH binary, we fit mock 100\,ks observations with a single AGN model. For a $10^9$ $M_\odot$ binary targeted by Pulsar Timing Arrays (PTAs), at $z=0.1$ the single AGN model clearly fails to fit the data, while at $z=1$ the fit is acceptable but unable to converge on the SMBH spin. For a $10^6$ $M_\odot$ binary, a progenitor of a \textit{Laser Interferometer Space Antenna} (\textit{LISA}) source, spectral fitting is only possible at $z=0.1$, with the outcomes similar to the PTA binary at $z=1$. We also find that PTA binaries can be expected to show a distinct X-ray spectral variability in multi-epoch observations, whereas for \textit{LISA} precursors, orbital averaging results in the loss of spectral variability signatures.