Finite SU(N)^k Unification

Details Finite SU(N)^k Unification Finite SU(N)^k Unification

2004-07-21

arxiv.org/abs/hep-ph/0407236v1

JHEP0412:026,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages

Scientific paper

10.1088/1126-6708/2004/12/026

We consider N=1 supersymmetric gauge theories based on the group SU(N)_1 x SU(N)_2 x ... x SU(N)_k with matter content (N,N*,1,...,1) + (1,N,N*,...,1) + >... + (N*,1,1,...,N) as candidates for the unification symmetry of all particles. In particular we examine to which extent such theories can become finite and we find that a necessary condition is that there should be exactly three families. We discuss further some phenomenological issues related to the cases (N,k) = (3,3), (3,4), and (4,3), in an attempt to choose those theories that can become also realistic. Thus we are naturally led to consider the SU(3)^3 model which we first promote to an all-loop finite theory and then we study its additional predictions concerning the top quark mass, Higgs mass and supersymmetric spectrum.

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