Gauge Unification, Yukawa Hierarchy and the $μ$ Problem

Details Gauge Unification, Yukawa Hierarchy and the $μ$ Problem Gauge Unification, Yukawa Hierarchy and the $μ$ Problem

1995-04-17

arxiv.org/abs/hep-ph/9504312v1

Phys.Lett. B354 (1995) 107-110

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, harvmac

Scientific paper

10.1016/0370-2693(95)00619-V

The hierarchy in the Yukawa couplings may be the result of a gauged horizontal $U(1)_H$ symmetry. If the mixed anomalies of the Standard Model gauge group with $U(1)_H$ are cancelled by a Green-Schwarz mechanism, a relation between the gauge couplings, the Yukawa couplings and the $\mu$-term arises. Assuming that at a high energy scale $g_3^2=g_2^2={5\over3}g_1^2$ and $(m_e m_\mu m_\tau)/(m_d m_s m_b)\sim \lambda$ (where $\lambda$ is of the order of the Cabibbo angle), the $U(1)_H$ symmetry solves the $\mu$-problem with $\mu\sim\lambda m_{3/2}$.

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