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# Modulation effects in dark matter-electron scattering experiments

## Author(s): Lee, Samuel K; Lisanti, Mariangela; Mishra-Sharma, Siddharth; Safdi, Benjamin R

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 Abstract: One of the next frontiers in dark-matter direct-detection experiments is to explore the MeV to GeV mass regime. Such light dark matter does not carry enough kinetic energy to produce an observable nuclear recoil, but it can scatter off electrons, leading to a measurable signal. We introduce a semianalytic approach to characterize the resulting electron-scattering events in atomic and semiconductor targets, improving on previous analytic proposals that underestimate the signal at high recoil energies. We then use this procedure to study the time-dependent properties of the electron-scattering signal, including the modulation fraction, higher-harmonic modes and modulation phase. The time dependence can be distinct in a nontrivial way from the nuclear scattering case. Additionally, we show that dark-matter interactions inside the Earth can significantly distort the laboratory-frame phase-space distribution of sub-GeV dark matter. Publication Date: 16-Oct-2015 Electronic Publication Date: 16-Oct-2015 Citation: Lee, Samuel K, Lisanti, Mariangela, Mishra-Sharma, Siddharth, Safdi, Benjamin R. (2015). Modulation effects in dark matter-electron scattering experiments. PHYSICAL REVIEW D, 92 (10.1103/PhysRevD.92.083517 DOI: doi:10.1103/PhysRevD.92.083517 ISSN: 2470-0010 EISSN: 2470-0029 Type of Material: Journal Article Journal/Proceeding Title: PHYSICAL REVIEW D Version: Final published version. This is an open access article.

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