Chiral Abelian gauge theories with few fermions

Author(s)

Costa, Davi B. ^[1] ; Dobrescu, Bogdan A. ^[2] ; Fox, Patrick J. ^[2]

Affiliation

^[1] Univ Sao Paulo, BR-05508090 Sao Paulo, SP - Brazil

^[2] Fermilab Natl Accelerator Lab, Theoret Phys Dept, Batavia, IL 60510 - USA

• Document type: Journal article
• Source: Physical Review D; v. 101, n. 9 MAY 27 2020.
• Web of Science Citations: 0

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 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) x U(1) gauge group we find n x = 6, and derive the general solution to the anomaly equations, in terms of 6 parameters. For U(1) x U(1) x 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. (AU)

• FAPESP's process: 19/00890-2 - Dark matter and twin Higgs models
• Grantee: Davi Bastos Costa
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree