Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-02-19
Phys.Rev.D65:115008,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 2 figures, minor corrections, references added
Scientific paper
10.1103/PhysRevD.65.115008
In family unification models, all three families of quarks and leptons are grouped together into an irreducible representation of a simple gauge group, thus unifying the Standard Model gauge symmetries and a gauged family symmetry. Large orthogonal groups, and the exceptional groups $E_7$ and $E_8$ have been much studied for family unification. The main theoretical difficulty of family unification is the existence of mirror families at the weak scale. It is shown here that family unification without mirror families can be realized in simple five-dimensional and six-dimensional orbifold models similar to those recently proposed for SU(5) and SO(10) grand unification. It is noted that a family unification group that survived to near the weak scale and whose coupling extrapolated to high scales unified with those of the Standard model would be evidence accessible in principle at low energy of the existence of small (Planckian or GUT-scale) extra dimensions.
Babu K. S.
Barr Sandra M.
Kyae Bumseok
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