Systematic Study of Horizontal Gauge Theories
Abstract
We analyze all the possible continuous horizontal gauge groups G_H in relation with their possibility to explain m_b<<m_t. 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\otimesSU(2)_L\otimesU(1)_Y\otimesG_H. Under these assumptions we find two U(1)_H or U(1)_{H1}\otimesU(1)_{H2} models free of anomalies and able to guarantee that only the top has a renormalizable mass-generating Yukawa coupling.
Cite
@article{arxiv.hep-ph/9507467,
title = {Systematic Study of Horizontal Gauge Theories},
author = {William A. Ponce and Luis A. Wills and Arnulfo Zepeda},
journal= {arXiv preprint arXiv:hep-ph/9507467},
year = {2009}
}
Comments
Major changes, 23 pages, Accepted for publication in Zeitschrift f\"ur Physik C, 1996. LaTeX file, no figures