Chiral Abelian gauge theories with few fermions
Abstract
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.
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1631172
- Alternate Identifier(s):
- OSTI ID: 1631138
- Report Number(s):
- arXiv:2001.11991; FERMILAB-PUB-20-030-T
Journal ID: ISSN 2470-0010; PRVDAQ; 095032
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 101 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Costa, Davi B., Dobrescu, Bogdan A., and Fox, Patrick J. Chiral Abelian gauge theories with few fermions. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.095032.
Costa, Davi B., Dobrescu, Bogdan A., & Fox, Patrick J. Chiral Abelian gauge theories with few fermions. United States. https://doi.org/10.1103/PhysRevD.101.095032
Costa, Davi B., Dobrescu, Bogdan A., and Fox, Patrick J. Wed .
"Chiral Abelian gauge theories with few fermions". United States. https://doi.org/10.1103/PhysRevD.101.095032.
@article{osti_1631172,
title = {Chiral Abelian gauge theories with few fermions},
author = {Costa, Davi B. and Dobrescu, Bogdan A. and Fox, Patrick J.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.101.095032},
journal = {Physical Review. D.},
number = 9,
volume = 101,
place = {United States},
year = {Wed May 27 00:00:00 EDT 2020},
month = {Wed May 27 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/PhysRevD.101.095032
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Cited by: 12 works
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