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arXiv · hep-ph/9911212

Non anomalous U(1)_H gauge model of flavor

Jesus M. Mira·Enrico Nardi·Diego A. Restrepo
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Abstract

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 $μ$ 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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Jesus M. Mira, Enrico Nardi, Diego A. Restrepo. 2000-04-29. Non anomalous U(1)_H gauge model of flavor. https://doi.org/10.1103/physrevd.62.016002

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