Low-energy effective description of dark $Sp(4)$ theories

Abstract

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 flavor multiplet structure and the chiral Lagrangian, including the Wess-Zumino-Witten term for mass-degenerate and non-degenerate flavors. We then study the possible charge assignments under a $U(1{)}^{\prime }$ 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.

60 pages, 12 figures; v2: added section 5.4 on eta' meson in the non-degenerate case, minor changes, added references

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• Holography for Sp(2$N_c$) Gauge Dynamics: from Composite Higgs to Technicolour
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Dark Sector Showers and Hadronisation in Herwig 7
• Comparable Dark Matter and Baryon energy densities from Dark Grand Unification
• Electroweak spin-1 resonances in Composite Higgs models
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• Strongly Interacting Dark Matter admixed Neutron Stars