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arxiv: hep-ph/9809459 · v1 · submitted 1998-09-20 · ✦ hep-ph

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The Family Group in Grand Unified Theories

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classification ✦ hep-ph
keywords familygroupbreakinggrandtheoriesunifiedacquiresagent
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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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Cited by 1 Pith paper

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  1. $SO(10)$-inspired leptogenesis

    hep-ph 2026-04 unverdicted novelty 3.0

    SO(10)-inspired leptogenesis implies N2-leptogenesis, ruling out inverted neutrino ordering under strict conditions and enabling initial-condition-independent asymmetry in subsets of solutions.