Systematic Study of Horizontal Gauge Theories
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(2)L(1)YH. Under these assumptions we find two U(1)H or U(1)H1(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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