A new analytical formalism self-consistently predicts both the ionized fraction x_i(z) and photoionization rate Gamma_HI(z), achieving percent-level accuracy in x_i and 20-30% accuracy in Gamma_HI versus radiative transfer simulations at z less than or equal to 6.
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No monotonic reionization history fits Planck τ, patchy kSZ from SPT/ACT, and Lyα endpoint; an early ionization phase at z≳12 relaxes ∑mν<0.39 eV and shifts σ8 via As-τ degeneracy.
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A self-consistent analytical model for both the photoionization rate and reionization history
A new analytical formalism self-consistently predicts both the ionized fraction x_i(z) and photoionization rate Gamma_HI(z), achieving percent-level accuracy in x_i and 20-30% accuracy in Gamma_HI versus radiative transfer simulations at z less than or equal to 6.
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A hidden reionization prior biases cosmological inference
No monotonic reionization history fits Planck τ, patchy kSZ from SPT/ACT, and Lyα endpoint; an early ionization phase at z≳12 relaxes ∑mν<0.39 eV and shifts σ8 via As-τ degeneracy.