U(1)$_A$ Models of Fermion Masses Without a $μ$ Problem

Details U(1)$_A$ Models of Fermion Masses Without a $μ$ Problem U(1)$_A$ Models of Fermion Masses Without a $μ$ Problem

1995-07-05

arxiv.org/abs/hep-ph/9507238v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Latex File

Scientific paper

We discuss the connection between models of fermion masses and mixing involving a string-motivated flavor/generation U(1)$_A$ gauge symmetry and the $\mu$ term. We point out that in a certain class of such models the flavor physics can provide an appealing solution to the $\mu$ problem, naturally yielding a $\mu \sim O(m_{_W})$. A simple relationship between the $U(1)_A$ charge $q_{H}$ of the $\mu$-term and the average generational $U(1)_A$ charges of the down quark and leptonic sectors is derived. Finally, we construct an explicit model illustrating our results.

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