Non anomalous U(1)_H gauge model of flavor

Details Non anomalous U(1)_H gauge model of flavor Non anomalous U(1)_H gauge model of flavor

1999-11-03

arxiv.org/abs/hep-ph/9911212v2

Phys.Rev. D62 (2000) 016002

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, RevTex. Title changed, minor modifications. Final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.016002

A non anomalous horizontal $U(1)_H$ gauge symmetry can be responsible for the fermion mass hierarchies of the minimal supersymmetric standard model. Imposing the consistency conditions for the absence of gauge anomalies yields the following results: i) unification of leptons and down-type quarks Yukawa couplings is allowed at most for two generations. ii) The $\mu$ term is necessarily somewhat below the supersymmetry breaking scale. iii) The determinant of the quark mass matrix vanishes, and there is no strong $CP$ problem. iv) The superpotential has accidental $B$ and $L$ symmetries. The prediction $m_{\rm up}=0$ allows for an unambiguous test of the model at low energy.

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