Abstract
We analyze all the possible continuous horizontal gauge groups GH in relation with their possibility to explain mb ⪡ mt. We assume that the only effective fermionic degrees of freedom correspond to the known fermions but allow the possibility of adding a right handed neutrino to each family. We assume that the Higgs fields which generate masses for these fermions, trough renormalizable Yukawa couplings, transform as an irreducible representation of SU(3)c ⊗ SU(2)L ⊗ U(1)Y ⊗ GH. Under these assumptions we find two U(1)H or U(1)H1 ⊗ U(1)H2 models free of anomalies and able to guarantee that only the top has a renormalizable mass-generating Yukawa coupling.
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