Strongly interacting massive particles are viable dark matter candidates. We consider a dark $Sp(4)$ gauge theory with $N_f=2$ fermions in the pseudo-real fundamental representation and construct the chiral low-energy effective theory. We determine the flavour multiplet structure and the chiral Lagrangian, including the Wess-Zumino-Witten term for mass-degenerate and non-degenerate flavours. We then study the possible charge assignments under a $U(1)'$ gauge symmetry, emphasizing on dark state stability, and provide the full Lagrangian description for Goldstone bosons and vector resonances, including the Wess-Zumino-Witten term. Finally, we use dedicated lattice simulations to determine the chiral low-energy effective theory's validity and low-energy constants. This work represents a self-consistent study of this non-Abelian theory. It thereby provides a framework for future phenomenological exploration in connection to the dark matter problem.
Cited by 3
Bennett et al., Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
Universe 9, 236 (2023) [Crossref]
Lucini et al., First-order phase transitions in Yang-Mills theories and the density of state method
Phys. Rev. D 108, 074517 (2023) [Crossref]
Bennett et al., Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
Phys. Rev. D 108, 094508 (2023) [Crossref]
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- 1 Universität Graz / University of Graz [UBG]
- 2 Österreichische Akademie der Wissenschaften / Austrian Academy of Sciences [ÖAW]
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])