A dark SU(2) phase transition can produce monopole dark matter, make the axion heavy via the Witten effect, and generate nanohertz gravitational waves matching PTA hints.
Nonabelian Dark Matter with Resonant Annihilation
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abstract
We construct a model based on an extra gauge symmetry, SU(2)_X x U(1)_{B-L}, which can provide gauge bosons to serve as weakly-interacting massive particle dark matter. The stability of the dark matter is naturally guaranteed by a discrete Z_2 symmetry that is a subgroup of SU(2)_X. The dark matter interacts with standard model fermions by exchanging gauge bosons which are linear combinations of SU(2)_X x U(1)_{B-L} gauge bosons. With the appropriate choice of representation for the new scalar multiplet whose vacuum expectation value spontaneously breaks the SU(2)_X symmetry, the relation between the new gauge boson masses can naturally lead to resonant pair annihilation of the dark matter. After exploring the parameter space of the new gauge couplings subject to constraints from collider data and the observed relic density, we use the results to evaluate the cross section of the dark matter scattering off nucleons and compare it with data from the latest direct detection experiments. We find allowed parameter regions that can be probed by future direct searches for dark matter and LHC searches for new particles.
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Gravitational waves and dark matter with Witten effect
A dark SU(2) phase transition can produce monopole dark matter, make the axion heavy via the Witten effect, and generate nanohertz gravitational waves matching PTA hints.