SU(5)xSU(5) unification revisited

Abstract

The idea of grand unification in a minimal supersymmetric SU(5)xSU(5) framework is revisited. It is shown that the unification of gauge couplings into a unique coupling constant can be achieved at a high-energy scale compatible with proton decay constraints. This requires the addition of a minimal particle content at intermediate energy scales. In particular, the introduction of the SU(2)_L triplets belonging to the (15,1)+(\bar{15},1) representations, as well as of the scalar triplet Σ_3 and octet Σ_8 in the (24,1) representation, turns out to be crucial for unification. The masses of these intermediate particles can vary over a wide range, and even lie in the TeV region. In contrast, the exotic vector-like fermions must be heavy enough and have masses above 10^10 GeV. We also show that, if the SU(5)xSU(5) theory is embedded into a heterotic string scenario, it is not possible to achieve gauge coupling unification with gravity at the perturbative string scale.

17 pages, 6 figures

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• Type I+III Seesaw Mechanism and CP Violation for Leptogenesis
• Minimal anomaly-free chiral fermion sets and gauge coupling unification
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• Number of fermion generations from a novel Grand Unified model