Dwarf galaxies are considered to be potential ideal test-beds for
constraining models of the seeding and tracing of the growth of supermassive
and intermediate mass black holes (MBH) via their black hole occupation
fraction (BHOF). Disentangling seeding from the confounding effects of mass
assembly is, however, challenging. In this work, we use semi-analytical models
(SAMs) to probe how various surveys perform at teasing apart different seed and
growth scenarios. We check for differences in the measured BHOF given various
cuts to black hole mass and AGN luminosity and develop a scheme to robustly
compare SAMs, with their intrinsic uncertainties, to X-ray observations. We
demonstrate that to tell seeding models apart, we need to detect or model all
AGN brighter than 1037ergs−1 in galaxies of M∗∼108−10M⊙ Shallower surveys, like eRASS, cannot distinguish
between seed models even with the compensation of a much larger survey volume.
We show that the AMUSE survey strongly favours heavy seed models, growing with
empirically motivated growth models either a power-law Eddington Ratio
Distribution Function (ERDF) or one in which black hole accretion is tagged to
the star-formation rate (AGN-MS). These two growth channels in turn can then be
distinguished by the AGN luminosity function at <1044ergs−1.
The different models also predict different radio scaling relations, which we
quantify using the fundamental plane of black hole activity. We close with
recommendations for the design of upcoming multi-wavelength campaigns that can
optimally detect MBHs in dwarf galaxies.Comment: Submitted to AAS Journal