Axion‑portal model with a light pseudoscalar can reproduce LUX‑ZEPLIN’s single 248 keV recoil
The paper offers an elastic dark matter explanation for a single high-energy event reported by the LUX‑ZEPLIN (LZ) experiment. LZ saw one nuclear recoil compatible with 248 keV. Instead of the inelastic dark matter explanations that depend strongly on the uncertain high-speed tail of our Galaxy’s dark matter, the author builds a simple elastic model. The model uses a pseudoscalar mediator — a light particle that couples to the spin‑related part of matter — and finds a recoil shape that can match LZ’s best templates. At the template level the author estimates a local significance between about 2.6 and 3.2 standard deviations, though a full experimental likelihood is needed for a precise number.
To make this concrete, the paper gives a minimal “axion portal” completion. Dark matter is a mostly Dirac fermion χ. A new complex scalar breaks a symmetry and produces a light pseudoscalar mediator a. A single heavy, vector‑like up‑type quark is required to connect the new sector to ordinary quarks. A representative benchmark point that realizes thermal freeze‑out uses mχ = 400 GeV and ma = 1 GeV, with the mediator decay constant f ≃ 294 GeV and a multi‑TeV messenger mass (MU ≃ 2 TeV). The mediator is assumed to couple mainly to up quarks, which both simplifies the model and avoids a percent‑level tuning needed in the alternative “isoscalar” case.
At a qualitative level the explanation works because exchanging a light pseudoscalar changes how the scattering rate depends on momentum. Nuclear physics effects, including a virtual neutral pion contribution, alter the recoil‑energy spectrum so it is harder than many standard elastic models but softer than a pure contact interaction. This modified spectrum gives more weight to high recoil energies like 248 keV and so can reproduce the single LZ event. The model also admits a thermal freeze‑out history: dark matter predominantly annihilates into pairs of the pseudoscalar, χχ → aa, with the annihilation being p‑wave suppressed today so indirect signals are reduced.