Modeling the Radio Background from the First Black Holes at Cosmic Dawn: Implications for the 21 cm Absorption Amplitude

We estimate the 21 cm Radio Background from accretion onto the first intermediate-mass Black Holes between $z\approx 30$ and $z\approx 16$. Combining potentially optimistic, but plausible, scenarios for black hole formation and growth with empirical correlations between luminosity and radio-emission observed in low-redshift active galactic nuclei, we find that black hole remnants of Pop-III stars are able to produce a 21 cm background that exceeds the Cosmic Microwave Background (CMB) at $z \approx 17$. Thus, such a background could explain the surprisingly large amplitude of the 21 cm absorption feature recently reported by the EDGES collaboration. These black holes also produce significant X-ray emission and contribute to the $0.5-2$ keV soft X-ray background at the level of $\approx 10^{-13}-10^{-12}$ erg sec$^{-1}$ cm$^{-2}$ deg$^{-2}$, consisten with existing constraints. In order to prevent the same black holes from over-producing the optical depth to the CMB measured by Planck, these sources are either heavily obscured with $f_{\text{esc}}\lesssim 0.05$ or their radio-loud fraction is higher than in the local universe.