Probing the intergalactic medium during the Epoch of Reionization using 21 cm signal power spectra

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Table 2.

Summary of the outputs from the MCMC analysis and constraints on the eight parameter models of the EoR power spectra.

Scenario	Parameters	Explored range	Mean	Standard deviation	Best fit	68% limits	95% limits
	z₀	[5, 15]	7.30	0.32	6.88	[6.9, 7.5]	[6.7, 7.98]
	Δz	[0, 3]	1.24	0.56	0.83	[0.56, 1.40]	[0.42, 2.50]
	α₀	[0, 10]	6.40	2.49	6.43	[5.03, 9.56]	[1.72, 10]
C2RAY	A_⋆	[0, 20]	4.18	1.61	5.17	[2.12, 5.18]	[1.22, 7.63]
	${\bar{x}}_{HI, ⋆}$ $\overline{x}_{\mathrm{HI},\star}$	[0, 1]	0.23	0.07	0.27	[0.16, 0.30]	[0.09, 0.35]
	α_A	[0.1, 2]	1.33	0.46	1.81	[1.07, 1.97]	[0.51, 2.0]
	γ_c	[0, 10]	4.65	2.39	2.05	[1.4, 6.00]	[1.07, 9.07]
	γ₀	[−3, 2]	−0.52	0.38	−1.20	[−0.66, −0.01]	[−1.31, 0.00]

	z₀	[5, 15]	8.16	0.42	7.70	[7.53, 8.70]	[6.92, 9.46]
	Δz	[0, 3]	1.95	0.57	1.70	[1.31, 2.61]	[0.95, 2.94]
	α₀	[0, 10]	5.91	2.47	5.50	[4.01, 9.21]	[1.56, 9.95]
21CMFAST	A_⋆	[0, 20]	1.39	0.41	1.60	[0.86, 1.71]	[0.59, 2.30]
	${\bar{x}}_{HI, ⋆}$ $\overline{x}_{\mathrm{HI},\star}$	[0, 1]	0.31	0.08	0.38	[0.23, 0.41]	[0.13, 0.47]
	α_A	[0.1, 2]	1.27	0.46	1.90	[0.95, 1.95]	[0.43, 2.0]
	γ_c	[0, 10]	3.78	1.80	3.50	[1.55, 4.62]	[0.94, 7.51]
	γ₀	[−3, 2]	−0.68	0.43	−0.80	[−0.96, 0.05]	[−1.40, 0.0]

	z₀	[5, 15]	8.03	0.21	8.10	[7.8, 8.2]	[7.60, 8.44]
	Δz	[0, 3]	1.25	0.20	1.20	[1.11, 1.40]	[0.96, 1.56]
	α₀	[0, 10]	5.61	2.30	6.60	[5.1, 9.8]	[2.0, 10]
GRIZZLY	A_⋆	[0, 20]	5.21	0.71	5.20	[4.41, 5.80]	[3.83, 6.61]
	${\bar{x}}_{HI, ⋆}$ $\overline{x}_{\mathrm{HI},\star}$	[0, 1]	0.26	0.06	0.24	[0.22, 0.32]	[0.15, 0.40]
	α_A	[0.1, 2]	1.46	0.38	1.30	[1.20, 1.94]	[0.80, 2.0]
	γ_c	[0, 10]	2.41	0.90	2.40	[1.60, 3.20]	[0.76, 3.79]
	γ₀	[−3, 2]	−1.05	0.51	−0.88	[−1.20, −0.50]	[−2.50, −0.25]

Notes. Top-to-bottom panels stand for the C2RAY, 21CMFAST, and GRIZZLY fiducial input scenarios. We use eight input power spectra for each of the reionization scenarios. The left to right columns represent the scenarios considered in this work, set of parameters, their ranges used in the MCMC analysis, mean parameter value, standard deviation, best-fit value, 68% and 95% credible limits obtained from the MCMC chains. The MCMC analysis is done using 8 chains each with 10⁶ steps.

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