Chiral Abelian gauge theories with few fermions
We construct chiral theories with the smallest number $$n_\chi$$ of Weyl fermions that form an anomaly-free set under various Abelian gauge groups. For the $U(1)$ group, where $$n_\chi = 5$$, we show that the general solution to the anomaly equations is a set of charges given by cubic polynomials in three integer parameters. For the $$U(1) \times U(1)$$ gauge group we find $$n_\chi = 6$$, and derive the general solution to the anomaly equations, in terms of 6 parameters. For $$U(1) \times U(1) \times U(1)$$ we show that $$n_\chi = 8$$, and present some families of solutions. These chiral gauge theories have potential applications to dark matter models, right-handed neutrino interactions, and other extensions of the Standard Model. As an example, we present a simple dark sector with a natural mass hierarchy between three dark matter components.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1631172
- Alternate ID(s):
- OSTI ID: 1631138
- Report Number(s):
- arXiv:2001.11991; FERMILAB-PUB-20-030-T; PRVDAQ; 095032
- Journal Information:
- Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal Issue: 9; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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