Accreting massive black hole binaries (MBHBs) often display periodic variations in their emitted radiation, thus providing a distinctive signature for their identification. red For this work we explored the identification of MBHBs via optical variability studies by simulating the observations of the Vera C. Rubin Observatory’s Legacy Survey of Space and Time (LSST). To this end, we red generated a population of MBHBs using the semi-analytical model, focusing on systems with observed orbital periods łeq 5 years. This ensures that at least two complete cycles of emission could be observed within the L-Galaxies red ten-year mission of LSST. To construct mock optical light curves, we first red calculated the MBHB average magnitudes in each LSST filter by constructing a self-consistent spectral energy distribution that accounts for the binary accretion history and the emission from a circumbinary disc and mini-discs. We then red added variability modulations by using six 3D hydrodynamic simulations of accreting MBHBs with different eccentricities and mass ratios as templates. To make the light curves more realistic, we red mimicked the LSST observation patterns and cadence, and we red included stochastic variability and LSST photometric errors. Our results show from 10^-2 to 10^-1 MBHBs per square degree, with light curves that are potentially detectable by LSST. These systems are mainly red low-redshift łesssim, 1. 5), massive (purple M, ≳, 10^ 7, ̊m M_⊙), red of equal mass purple (q, ≈, 0. 9), and relatively eccentric (e, ≈, 0. 6), and have modulation periods of around 3. 5 years. Using periodogram analysis, we find that LSST variability studies have a higher success rate (≳, 50%) for systems with high eccentricities purple (e, ≳, 0. 6). Additionally, at fixed eccentricity, detections tend to favour systems with more unequal mass ratios. The false alarm probability purple (FAP) shows similar trends. Circular binaries systematically feature high FAP values (≳ 10^ -1). Eccentric systems have purple low-FAP tails, down to purple ≈, 10^ -8.
Chiesa et al. (Mon,) studied this question.