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    Gravitational signatures of axion dark matter via parity-violating interactions

    Marco Figliolia*,†, Francesco Grippa*,‡, Gaetano Lambiase§, and Luca Visinelli∥

    • *These authors contributed equally to this work.
    • †Contact author: mfigliolia@unisa.it
    • ‡Contact author: fgrippa@unisa.it
    • §Contact author: glambiase@unisa.it
    • ∥Contact author: lvisinelli@unisa.it

    Phys. Rev. D 113, 023012 – Published 7 January, 2026

    DOI: https://doi.org/10.1103/6kqd-vntp

    Abstract

    We investigate axionlike particles coupled to gravity through a parity-violating Chern-Simons (CS) interaction. In this framework, axion dark matter (DM) can decay into pairs of circularly polarized gravitons, producing a persistent, nearly monochromatic gravitational wave signal. We compute the expected signal at Earth assuming a Navarro-Frenk-White Galactic halo model with the corresponding velocity distribution, and compare it with the narrow-band sensitivities of the LIGO O4 run and the projected reach of the Einstein Telescope. The resulting bounds on the axion-graviton coupling α improve upon the cosmological stability requirement for axion masses mϕ≲10−11  eV, excluding values up to four orders of magnitude below the stability limit. This constitutes a robust direct terrestrial constraint on the axion-gravity CS coupling. We also discuss distinctive observational signatures, such as circular polarization asymmetries, annual modulation, and potential enhancements from DM substructures, which could serve as smoking-gun evidence for parity-violating gravitational interactions.

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