Title: Detecting Detached Black Hole binaries through Photometric Variability

Abstract: Understanding the connection between the properties of black holes (BHs) and their progenitors is interesting in many branches of astrophysics. Discovering BHs in detached orbits with luminous companions (LCs) promises to help create this map since the LC and BH progenitor are expected to have the same metallicity and formation time. We explore the possibility of detecting BH-LC binaries in detached orbits using photometric variations of the LC flux, induced by tidal ellipsoidal variation, relativistic beaming, and self-lensing. We create realistic present-day populations of detached BH-LC binaries in the Milky Way (MW) using binary population synthesis where we adopt observationally motivated initial stellar and binary properties, star formation history and present-day distribution of these sources in the MW based on detailed cosmological simulations. We test detectability of these sources via photometric variability by Gaia and TESS missions by incorporating their respective detailed detection biases as well as interstellar extinction. We find that Gaia (TESS) is expected to resolve ~700-1500 (~100-400) detached BH-LC binaries depending on the photometric precision and details of supernova physics. We find that ~369 BH-LC binaries would be common both in Gaia and TESS. Moreover, between ~80-270 (~70-290) of these BH-LC binaries can be further characterised using Gaia's radial velocity (astrometry) measurements.