Linking Geometric Mass Hierarchy with Threefold Family Replication

Details Linking Geometric Mass Hierarchy with Threefold Family Replication Linking Geometric Mass Hierarchy with Threefold Family Replication

1998-02-03

arxiv.org/abs/hep-ph/9802235v1

J.Phys.G25:1571-1588,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 11 twocolumn pages, No figures

Scientific paper

10.1088/0954-3899/25/8/302

A link is established between the observed (approximate) geometric mass hierarchy of quarks and leptons and the triangular structure of their tenable flavor representations. This singles out SU(3) as the horizontal flavor group, thereby linking the Fermi mass hierarchy with the threefold family replication. These linkages are exploited within a flavor-chiral SU(3) model, with fermions and Higgs bosons in the 3+6* representation. The model is Left-Right symmetric and utilizes the universal see-saw mechanism with a geometric mass suppression pattern. Given certain assumptions, the model produces successful mass-ratio (rather than square-mass-ratio) mixing angle relations and fixes the light quark mass ratio.

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