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    CMB spectral distortions from resonant conversions in atomic dark sectors

    Duncan K. Adams1,*, Jared Barron1,†, Bryce Cyr2,‡, and Xiuyuan Zhang3,§

    • 1C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794-3800, USA
    • 2Center for Theoretical Physis–A Leinweber Institute, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
    • 3Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

    • *Contact author: duncan.adams@stonybrook.edu
    • †Contact author: jared.barron@stonybrook.edu
    • ‡Contact author: brycecyr@mit.edu
    • §Contact author: xiuyuan@mit.edu

    Phys. Rev. D 114, 023537 – Published 16 July, 2026

    DOI: https://doi.org/10.1103/gpbc-6kr6

    Abstract

    Dark sectors consisting of atomic constituents (electrons, protons, and photons) offer a well-motivated extension to the Standard Model while providing multiple avenues for phenomenological study. In this work, we explore the impact of conversions between the dark and Standard Model photons in the primordial cosmic microwave background (CMB) spectral distortion epoch (103≲z≲106). These conversions are resonantly enhanced when the induced thermal masses of both photonic species are equal, thus leading to the possibility that sizeable distortions can be produced. To this end, we solve the Boltzmann equation at early times to determine the (irreducible) freeze-in or freeze-out abundance of dark photons. This procedure also allows us to update the limits on generic millicharged dark sectors using the ACT DR6 bound on the number of effective radiative degrees of freedom (Neff). By then modeling the evolution of the thermal masses in both sectors, we compute the primordial CMB distortion using the Landau-Zener formalism. We find that when the dark electron and proton are roughly similar in mass (the positronium limit), current spectral distortion data from the COBE/FIRAS instrument is able to rule out novel regions of parameter space. We also forecast bounds from the proposed FOSSIL satellite, finding that spectral distortions can also be used to probe the ultralow dark electric charge regions of parameter space, which are difficult to investigate by other means.

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