Finite SU(3){sup 3} model

We consider N = 1 supersymmetric gauge theories based on the group SU(N){sub 1}xSU(N){sub 2}x...xSU(N){sub 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 b...

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Bibliographic Details
Main Authors: Heinemeyer, S., Ma, E., Mondragon, M., Zoupanos, G.
Format: Conference Proceeding
Language:English
Subjects:
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HIGGS BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARKS
REST MASS
SU GROUPS
SU-3 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
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Summary:We consider N = 1 supersymmetric gauge theories based on the group SU(N){sub 1}xSU(N){sub 2}x...xSU(N){sub 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){sup 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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3327674