Nonanomalous horizontal U 1 H gauge model of flavor

ABSTRACT: A nonanomalous 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 quark Yukawa couplings is allowed at most for two generations; (ii) the m 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 mup50 allows for an unambiguous test of the model at low energy