The first (nearly) model-independent constraint on the neutral hydrogen fraction at z~5--6
Ian D. McGreer (Arizona), Andrei Mesinger (Princeton), Xiaohui Fan, (Arizona)

TL;DR
This paper provides the first model-independent upper limits on the neutral hydrogen fraction at redshifts 5 to 6, using dark pixel statistics in quasar spectra, challenging previous model-dependent constraints.
Contribution
It introduces a robust, assumption-free method to constrain the neutral hydrogen fraction at high redshift using dark pixel covering fractions in quasar absorption spectra.
Findings
<x_HI> < 0.2 at 5 < z < 5.5
<x_HI> < 0.8 at z~6.1
Tentative evidence for a change in dark pixel covering fraction at z~5.5
Abstract
Cosmic reionization is expected to be complex, extended and very inhomogeneous. Existing constraints at z~6 on the volume-averaged neutral hydrogen fraction, <x_HI>, are highly model-dependent and controversial. Constraints at z<6, suggesting that the Universe is highly ionized, are also model-dependent, but more fundamentally are invalid in the context of inhomogeneous reionization. As such, it has recently been pointed out that there is no conclusive evidence that reionization has completed by z~5--6, a fact that has important ramifications on the interpretation of high-redshift observations and theoretical models. We present the first direct upper limits on <x_HI> at z~5--6 using the simple and robust statistic of the covering fraction of dark pixels in the Ly alpha/beta forests of high redshift quasars. With a sample of 13 Keck ESI spectra we constrain <x_HI> < 0.2 at 5 < z < 5.5,…
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