Triplet-Doublet Splitting, Proton Stability and an Extra Dimension.

By Yoshiharu Kawamura. 2000

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We propose a new possibility to reconcile the coupling unification scenario with the triplet-doublet mass splitting based on a 5-dimensional supersymmetric model with SU(5) gauge symmetry. It is shown that the minimal supersymmetric standard model is derived on a 4-dimensional wall through compactification on S 1 /(Z2 × Z � 2). In this paper, we propose a new possibility to reconcile the coupling unification scenario with the triplet-doublet mass splitting. The coupling unification originates from the existence of a unified gauge symmetry, G, in a high-energy theory on a higher-dimensional space-time. The full symmetry is not realized in the low-energy physics, where light particles play an essential role. The symmetry G is reduced by the presence of non-universal values of the intrinsic parity on a compact space among components in each multiplet of G. We show that the SUSY part of the Lagrangian in the MSSM is derived on a 4-dimensional (4D) wall through compactification upon the orbifold S 1 /(Z2 × Z � 2), with a suitable assignment of Z2 × Z � 2 parity, from a 5D SUSY model based on G = SU(5). No particles appear other than the MSSM particles in the massless state, and the triplet-doublet mass splitting is realized by the Z2 × Z � 2 projection. We also discuss proton stability in our model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4bdd8d6b448b508d1e596a75c9d1a86805e9882a

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