Linking Mg ii and [O ii] spatial distribution to ionizing photon escape in confirmed LyC leakers and non-leakers

The geometry of the neutral gas in and around galaxies is a key regulator of the escape of ionizing photons. We present the first statistical study aimed at linking the neutral and ionized gas distributions to the Lyman continuum (LyC) escape fraction ( in a sample of 22 confirmed LyC leakers and non-leakers at $z using the Keck Cosmic Web Imager (Keck/KCWI) and the Low Resolution Spectrograph 2 (HET/LRS2). Our integral field unit data enable the detection of neutral and low-ionization gas, as traced by Mg ii and ionized gas, as traced by O ii extending beyond the stellar continuum for seven and ten objects, respectively. All but one object with extended Mg ii emission also show extended O ii emission; in this case Mg ii emission is always more extended than O ii by a factor 1.2 on average. Most of the galaxies with extended emission are non or weak LyC leakers ( < 5), but we find a large diversity of neutral and low-ionization gas configurations around these weakly LyC-emitting galaxies. Conversely, the strongest leakers ( > 5) appear uniformly compact in both Mg ii and O ii with exponential scale lengths lesssim 1 kpc. Most are unresolved at the resolution of our data. We also find a trend between and the spatial offsets of the nebular gas and the stellar continuum emission. Moreover, we find significant anticorrelations between the spatial extent of the neutral and/or low-ionization gas and the O iii O ii ratio, and Hbeta equivalent width, as well as positive correlations with metallicity and UV size, suggesting that galaxies with more compact neutral and/or low-ionization gas sizes are more highly ionized. The observations suggest that strong LyC emitters do not have extended neutral and/or low-ionization gas halos and ionizing photons may be emitted in many directions. Combined with high ionization diagnostics, we propose that the Mg ii and potentially O ii spatial compactness are indirect indicators of LyC emitting galaxies at high redshift.