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Daily modulation of low-energy nuclear recoils from sub-GeV dark matter
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abstract
At sufficiently low nuclear recoil energy, the scattering of dark matter (DM) in crystals gives rise to single phonon and multiphonon excitations. In anisotropic crystals, the scattering rate into phonons modulates over each sidereal day as the crystal rotates with respect to the DM wind. This gives a potential avenue for directional detection of DM. The daily modulation for single phonons has previously been calculated. Here we calculate the daily modulation for multiphonon excitations from DM in the mass range 1 MeV-1 GeV. We generalize previous multiphonon calculations, which made an isotropic approximation, and implement results in the DarkELF package. We find daily modulation rates up to 1-10 percent for an Al$_2$O$_3$ target and DM mass below 30 MeV, depending on the recoil energies probed. We obtain similar results for SiC, while modulation in Si, GaAs and SiO$_2$ is negligible.
Forward citations
Cited by 2 Pith papers
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Spin-Dependent Scattering of Sub-GeV Dark Matter: Models and Constraints
A new calculation of spin-dependent sub-GeV dark matter phonon scattering shows only the light scalar mediator model retains testable parameter space, conditional on the supernova trapping window.
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Coherence from interference: a solvable model of sub-GeV dark matter-nucleus scattering
In an exactly solvable 1D lattice, coherent and incoherent DM-nucleus structure factors differ only by a crystal-momentum delta function that becomes unimportant for n≥2 phonons, validating hybrid Inc+LW rate calculations.
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