Dark matter direct detection from the single phonon to the nuclear recoil regime

Abstract

In most direct detection experiments, the free nuclear recoil description of dark matter scattering breaks down for masses $\lesssim$ 100 MeV, or when the recoil energy is comparable to a few times the typical phonon energy. For dark matter lighter than 1 MeV, scattering via excitation of a single phonon dominates and has been computed previously, but for the intermediate mass range or higher detector thresholds, multiphonon processes dominate. We perform the first calculation of the scattering rate via multiphonon production for the entire keV-GeV dark matter mass range, assuming a harmonic crystal target. We provide an analytic description that connects the single phonon, multiphonon, and the nuclear recoil regimes. Our results are implemented in the public package $\text{DarkELF}$.

28 pages, 16 figures; journal version with minor updates

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• Dark Matter Induced Power in Quantum Devices
• Energy loss in low energy nuclear recoils in dark matter detector materials
• Optimal anti-ferromagnets for light dark matter detection
• Chiral phonons as dark matter detectors
• Signatures and Detection Prospects for sub-GeV Dark Matter with Superfluid Helium