Direct detection window to light new physics

In order to search for dark matter with increased sensitivity, the new
generation of direct detection experiments will soon be operational with an
increased target size (e.g. LZ with approximately 5 tons of LXe) and lower
experimental thresholds (e.g. SuperCDMS in the high-voltage operation mode).
While these features will certainly help further narrowing down the
parameter space of weakly-interacting massive particles, they also offer the
possibility of probing less canonical candidates for dark matter, as well as
other types of new physics in the neutrino sector. In this talk I will
review the different possibilities that this offers, including a recent
example from 2006.11225, in which a light mediator in a gauged
U(1)(L\mu-L\tau) could explain the discrepancy in the muon anomalous
magnetic moment.