Stacking redshifted 21 cm images of H ii regions around high-redshift galaxies as a probe of early reionization

A number of current and future experiments aim to detect the reionization of neutral hydrogen by the first stars and galaxies in the Universe via the redshifted 21 cm line. Using the bluetides simulation, we investigate the measurement of an average ionized region towards the beginning of reionization by stacking redshifted 21 cm images around optically identified bright galaxies using mock observations. We find that with an SKA 1000 h observation, assuming perfect foreground subtraction, a 5σ detection of a stacked H ii region can be made with 30 images around some of the brightest galaxies in bluetides (brighter than MUV < -22.75) at z = 9 (corresponding to a neutral fraction of 90.1 per cent in our model). We present simulated relationships between the UV magnitude of galaxies, the sizes of the ionized regions they reside in, and the shape of the stacked profiles. These mock observations can also distinguish between scenarios where the intergalactic medium is in net emission or absorption of 21 cm photons. Once 21 cm foreground contamination is included, we find that even with up to 200 images around these rare, bright galaxies, only a tentative >1σ detection will be possible. However, partial foreground subtraction substantially improves signal to noise. For example, we predict that reducing the area of Fourier space dominated by foregrounds by 50 (80) per cent will allow >3σ (>5σ) detections of ionized regions at z = 9.