FEASTS Combined with Interferometry. IV. Mapping H i Emission to a Limit of N_{H i} = 10^17.7 cm⁻² in Seven Edge-on Galaxies

We present a statistical study of the neutral atomic hydrogen (H i) gas extending into the circumgalactic medium perpendicular to the disk for seven edge-on galaxies with inclinations above 85° from the FEASTS program with a 3σ (20 km s⁻¹ ) column density (N_{H i} ) depth of 5 × 10¹⁷ cm⁻². We develop two photometric methods to separate the extraplanar H i from the disk component based on existing interferometric data and parametric modeling of the disk flux distribution, respectively. With both methods, the FEASTS data exhibit clear extended wings beyond the disk along the minor axis. The extraplanar H i accounts for 5%-20% of the total H i mass and extends to 20-50 kpc at N_{H i} = 10¹⁸cm⁻² . We find a tight positive correlation between vertical extensions of the extraplanar H i and total H i mass M_{H i}. The isodensity shape of H i at N_{H i} = 10¹⁸ cm⁻² has an average axis ratio of 0.56 ± 0.11. The off-disk N_{H i} profiles of these edge-on galaxies well represent the lower envelope of previous Lyα absorption measurements at low redshift. Our results suggest that at N_{H i} = 5 × 10¹⁷ cm⁻², the H i extends considerably further than the known thin and thick disks in the vertical direction but still remains much flatter than a spherical distribution, consistent with theoretical expectations that outflow, circulation, and accretion should have different impacts in these two directions. We show the tension of our results with Illustris and TNG predictions, highlighting the constraining power of our results for future simulations.