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Due to the low nuclear recoils, sub-GeV dark matter (DM) is usually beyondthe sensitivity of the conventional DM direct detection experiments. Theboosted and Migdal scattering mechanisms have been proposed as two newcomplementary avenues to search for light DM. In this work, we consider themomentum-transfer effect in the DM-nucleus scattering to derive the new boundson sub-GeV DM for these two scenarios. We show that such an effect is sizableso that the existing bounds on the DM-nucleus scattering cross section can beimproved significantly.

New Strong Bounds on sub-GeV Dark Matter from Boosted and Migdal Effects