The Family Group in Grand Unified Theories

Details The Family Group in Grand Unified Theories The Family Group in Grand Unified Theories

1998-09-20

arxiv.org/abs/hep-ph/9809459v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Retro-Preprint (1979 unpublished Caltech preprint). Uses tex, with jnl macro, 19 pages. Invited talk at the Sanibel Symposia,

Scientific paper

We review the known ways of incorporating and breaking symmetries in a renormalizable way. We summarize the various grand unified theories based on $SU_5, SO_{10}$, and $E_6$ as family enlargement groups. An $SU_5$ model with an $SU_2$ gauged family group is presented as an illustration. In it, the e-family (i.e., e,u and d) is classically massless and acquires calculable mass corrections. The family group is broken by the same agent that does the superstrong breaking. Finally, we sketch a way of unifying the family group with $SU_5$ into $SU_8$.

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