Extreme Values of Black Hole to Stellar Mass Ratio for High-Redshift Galaxies
Abstract
With recent data from the James Webb Space Telescope (JWST), it is possible to calculate the mass of the supermassive black holes at the centre of galaxies, and the stellar mass of the host galaxies at z 5. In this work, we apply the method of extreme-value statistics to calculate the distributions of extreme black hole and stellar mass for the redshift range 3.5 z 8.5. We sample these distributions to obtain a prediction for the black hole to stellar mass ratio of 0.24 over this redshift range, with the median in each bin varying in the range 0.18-0.35. Our predictions are consistent with the highest observed values of the ratio from JWST observations of high-redshift galaxies.
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