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

Kulkarni, Suchita; Maas, Axel; Mee, Seán; Nikolic, Marco; Pradler, Josef; Zierler, Fabian

doi:10.21468/SciPostPhys.14.3.044

SciPost Physics

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

Suchita Kulkarni, Axel Maas, Seán Mee, Marco Nikolic, Josef Pradler, Fabian Zierler

SciPost Phys. 14, 044 (2023) · published 22 March 2023

doi: 10.21468/SciPostPhys.14.3.044
pdf
Submissions/Reports

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 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.3.044
TI  - Low-energy effective description of dark $Sp(4)$ theories
PY  - 2023/03/22
UR  - https://scipost.org/SciPostPhys.14.3.044
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 3
SP  - 044
A1  - Kulkarni, Suchita
AU  - Maas, Axel
AU  - Mee, Seán
AU  - Nikolic, Marco
AU  - Pradler, Josef
AU  - Zierler, Fabian
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.14.3.044,
	title={{Low-energy effective description of dark $Sp(4)$ theories}},
	author={Suchita Kulkarni and Axel Maas and Seán Mee and Marco Nikolic and Josef Pradler and Fabian Zierler},
	journal={SciPost Phys.},
	volume={14},
	pages={044},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.3.044},
	url={https://scipost.org/10.21468/SciPostPhys.14.3.044},
}

Cited by 4

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ Suchita Kulkarni,
¹ Axel Maas,
¹ Seán Mee,
² Marco Nikolic,
² Josef Pradler,
¹ Fabian Zierler

Funder for the research work leading to this publication

Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])