Exothermic nuclear recoils from thermal quasi-pNGB dark matter
Abstract +
We have studied a two-component dark sector containing a stable pNGB $a$ and its nearly degenerate quasi-pNGB partner $s_-$. The approximate scalar symmetry connects the small mass splitting to the suppression of tree-level Higgs-mediated elastic scattering. The coupled thermal calculation yields comparable relic populations, while efficient annihilation into light dark gauge boson $Z'$ reproduces the total abundance. At $\mathrm{BP}_\star$, we have a substantial surviving excited population under the adopted evolution assumptions. These ingredients provide a thermal source of exothermic nuclear recoils with a suppressed tree-level elastic signal.
Applied to the high-energy LZ event, the setup considered here admits a relic-compatible benchmark whose exothermic recoil spectrum provides support at the observed event energy. At $\mathrm{BP}_\star$, the expected sideband yield is comparable to the search-window yield providing a further test through future high-energy recoil measurements. Independent dark gauge boson searches can also test the mixing required by this interpretation.
