Finite SU(N)**k unification
Jul, 200414 pages
Published in:
- JHEP 12 (2004) 026
e-Print:
- hep-ph/0407236 [hep-ph]
Report number:
- UCRHEP-T376
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Abstract:
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.- gauge field theory: SU(N)**M
- supersymmetry: symmetry breaking
- grand unified theory: finite
- mass: top
- Higgs particle: mass
- sparticle: mass spectrum
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