Finite SU(3)^3 model

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 find that a necessary condition is that there should be exactly three families. From phenomenological considerations an SU(3)^3 model is singled out. We consider an all-loop and a two-loop finite model based on this gauge group and we study their predictions concerning the third generation quark masses.

4 pages, 2 figures. Talk given at 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY09), Boston, USA, 5-10 June 2009

Cited by in corpus (9)

• Orbifolds, fuzzy spheres and chiral fermions
• Inverse Seesaw Mechanism in Nonsupersymmetric SO(10), Proton Lifetime, Nonunitarity Effects, and a Low-mass Z' Boson
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• $N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Updates and New Results in Models with Reduced Couplings
• Reduction of the Parameters in MSSM
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• From Veltman's conditions to Finite Unification