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    Tracing the neutrino-induced phase shift in the 21-cm spectrum

    Gabriele Montefalcone1,*, Hector Afonso G. Cruz2, Julian B. Muñoz3,4, Ely D. Kovetz5, and Marc Kamionkowski2

    • *Contact author: montefalcone@utexas.edu

    Phys. Rev. D 113, 063556 – Published 23 March, 2026

    DOI: https://doi.org/10.1103/fcyd-1ydc

    Abstract

    We study the phase shift that free-streaming neutrinos imprint on the 21-cm power spectrum during cosmic dawn, computing for the first time its effect on both density- and velocity-induced acoustic oscillations. Neutrinos are known to generate a characteristic phase shift in the acoustic oscillations of the photon–baryon plasma before recombination, a signature already detected in the cosmic microwave background (CMB) as well as the spectrum of baryon acoustic oscillations (BAOs) extracted from galaxy surveys. We show that in the 21-cm signal this phase shift is distinct from that observed in the CMB and BAO spectra, exhibiting a characteristic mode and redshift dependence arising from the additional contribution of the so-called velocity acoustic oscillations (VAOs), sourced by the baryon–dark matter relative velocities. Our results establish the phase of acoustic oscillations in the 21-cm spectrum as a promising new avenue for probing free-streaming light relics at cosmic dawn, complementary to existing CMB and BAO measurements.

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