The Escape Fraction of Ionizing Photons During the Epoch of Reionization: observability with the Square Kilometre Array

Abstract

One of the most important parameters in characterizing the Epoch of Reionization, the escape fraction of ionizing photons, $f_{\mathrm{esc}}$, remains unconstrained both observationally and theoretically. With recent work highlighting the impact of galaxy-scale feedback on the instantaneous value of $f_{\mathrm{esc}}$, it is important to develop a model in which reionization is self-consistently coupled to galaxy evolution. In this work, we present such a model and explore how physically motivated functional forms of $f_{\mathrm{esc}}$ affect the evolution of ionized hydrogen within the intergalactic medium. Using the $21$cm power spectrum evolution, we investigate the likelihood of observationally distinguishing between a constant $f_{\mathrm{esc}}$ and other models that depend upon different forms of galaxy feedback. We find that changing the underlying connection between $f_{\mathrm{esc}}$ and galaxy feedback drastically alters the large-scale $21$cm power. The upcoming Square Kilometre Array Low Frequency instrument possesses the sensitivity to differentiate between our models at a fixed optical depth, requiring only $200$ hours of integration time focused on redshifts $z=7.5-8.5$. Generalizing these results to account for a varying optical depth will require multiple $800$ hour observations spanning redshifts $z=7-10$. This presents an exciting opportunity to observationally constrain one of the most elusive parameters during the Epoch of Reionization.

14 pages, 8 figures, 2 tables