Horizontal $U(1)_H$ symmetry: a non-anomalous model

Details Horizontal $U(1)_H$ symmetry: a non-anomalous model Horizontal $U(1)_H$ symmetry: a non-anomalous model

2000-09-28

arxiv.org/abs/hep-ph/0009329v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages. Talk given at 3rd Latin American Symposium on High Energy Physics (SILAFAE III), Cartagena de Indias, Colombia, April

Scientific paper

Spontaneously broken Abelian gauge symmetries can explain the fermion mass hierarchies of the minimal supersymmetric standard model. In most cases it is assumed that the $U(1)_H$ symmetry is anomalous. However, non-anomalous models are also viable and yield an interesting phenomenology. Cancellation of the gauge anomalies implies the following results: unification of leptons and down-type quarks Yukawa couplings is allowed at most for two generations. The $\mu$ term is necessarily somewhat below the supersymmetry breaking scale. The superpotential has accidental $B$ and $L$ symmetries, and R-parity is automatically conserved in the supersymmetric limit. Anomaly canncellation also implies that the determinant of the quark mass matrix must vanish, wich is possible only if $m_{up}=0$. This solves the strong CP problem and provides an unambiguous low energy test of the model.

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