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Unification in models with replicated gauge groups. (English) Zbl 1226.81131

Summary: We examine unification of gauge couplings in four dimensional renormalizable gauge theories inspired by the latticized (deconstructed) SM or MSSM in five dimensions. The models are based on replicated gauge groups, spontaneously broken to the diagonal subgroup. The analysis is performed at the one-loop level, with the contribution from the heavy vector bosons included, and compared with the analogous results in the SM or MSSM. Unification at the diagonal breaking scale is compared with the unification above that scale proposed by Arkani-Hamed, Cohen and Georgi. We find that in the considered class of extensions of the \(MSSM(SM)\) unification is possible for a wide range of unification scales and with a similar accuracy as in the \(MSSM(SM)\).

MSC:

81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81V22 Unified quantum theories

References:

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