Cancellation mechanism of dark matter direct detection in Higgs-portal and vector-portal models

Understand

We present two alternative proofs for the cancellation mechanism in the U(1) symmetric pseudo-Nambu-Goldstone-Boson Dark Matter (pNGB DM) model.

• They help us to have a better understanding of the mechanism from multi-angle, and inspire us to propose some interesting generalizations.
• In the first proof, we revisit the non-linear representation method and rephrase the argument with the interaction eigenstates.
• In this picture, the phase mode (DM) can only have a trilinear interaction with a derivative-squared acting on the radial mode when the DM is on-shell.