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

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arxiv 2202.05191 v2 pith:R4X75AAA submitted 2022-02-10 hep-ph hep-lat

Suchita Kulkarni , Axel Maas , Seán Mee , Marco Nikolic , Josef Pradler , Fabian Zierler This is my paper · ORCID
classification hep-phhep-lat
keywords darklow-energytheorychiraleffectivedescriptiondeterminegauge
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $U(1)'$ 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Dark matter in composite Higgs models with a scotogenic EFT

    hep-ph 2026-07 conditional novelty 5.0 of 10

    In the SU(6)/Sp(6) composite Higgs model with a scotogenic Z2, three of four neutral pseudo-Goldstone dark matter candidates can reproduce the observed relic density, while the SU(2)L triplet candidate fails; spin-1 r...

  3. Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Preliminary lattice spectra of mesons, flavor singlets, and chimera baryons in fully dynamical Sp(4) gauge theory with fermions in two representations are presented.

  4. Updates on the density of states method in finite temperature symplectic gauge theories

    hep-lat 2024-11 conditional novelty 4.0 of 10

    LLR simulations of Sp(4) pure gauge theory at finite temperature show that the plaquette distribution at the deconfinement critical point has a plateau between the two peaks, and the thermodynamic extrapolations of th...

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