Probing the Neutral Fraction of the IGM with GRBs during the Epoch of Reionization
Matthew McQuinn, Adam Lidz, Matias Zaldarriaga, Lars Hernquist, and, Suvendra Dutta

TL;DR
This paper demonstrates that near-infrared observations of GRB afterglows are limited in constraining the IGM's neutral fraction during reionization due to patchiness and observational challenges, affecting detection probabilities.
Contribution
It provides a quantitative analysis of the limitations and probabilities of detecting a neutral IGM using high-redshift GRB afterglow spectra during reionization.
Findings
Near-infrared observations cannot constrain x_H better than ~0.3 from a single GRB.
Detection probability of a neutral IGM depends on observation sensitivity and IGM neutrality level.
GRBs at x_H=0.5 can indicate a partly neutral IGM with 98% confidence 10% of the time.
Abstract
We show that near-infrared observations of the red side of the Ly-alpha line from a single gamma ray burst (GRB) afterglow cannot be used to constrain the global neutral fraction of the intergalactic medium (IGM), x_H, at the GRB's redshift to better than ~0.3. Some GRB sight-lines will encounter more neutral hydrogen than others at fixed x_H owing to the patchiness of reionisation. GRBs during the epoch of reionization will often bear no discernible signature of a neutral IGM in their afterglow spectra. We discuss the constraints on x_H from the z = 6.3 burst, GRB050904, and quantify the probability of detecting a neutral IGM using future spectroscopic observations of high-redshift, near-infrared GRB afterglows. Assuming an observation with signal-to-noise similar to the Subaru FOCAS spectrum of GRB050904 and that the column density distribution of damped Ly-alpha absorbers is the same…
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