Spin-dependent sub-GeV Inelastic Dark Matter-electron scattering and Migdal effect: (I). Velocity Independent Operator

Abstract

The ionization signal provide an important avenue of detecting light dark matter. In this work, we consider the sub-GeV inelastic dark matter and use the non-relativistic effective field theory (NR-EFT) to derive the constraints on the spin-dependent DM-electron scattering and DM-nucleus Migdal scattering. Since the recoil electron spectrum of sub-GeV DM is sensitive to tails of galactic DM velocity distributions, we also compare the bounds on corresponding scattering cross sections in Tsallis, Empirical and standard halo models. With the XENON1T data, we find that the exclusion limits of the DM-proton/neutron and DM-electron scattering cross sections for exothermic inelastic DM are much stronger that those for the endothermic inelastic DM. Each limits of the endothermic inelastic DM can differ by an order of magnitude at most in three considered DM velocity distributions.

37 pages, 7 figures, discussions and references added, version published in JCAP

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• Low-mass constraints on WIMP effective models of inelastic scattering using the Migdal effect
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• The linear response theory approach to the sub-GeV dark matter in the Sun
• The Migdal effect in solid crystals and the role of non-adiabaticity
• Comparison of the Migdal transition probabilities in electron-atom inelastic cross sections
• Cutting rules for non-relativistic dark matter in solids based on Kohn-Sham orbitals
• Information-theoretic astrophysical uncertainties in the effective theory of dark matter direct detection