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arXiv · hep-ph/9404334

Gauge Hierarchy, Planck Scale Corrections And The Origin of GUT Scale In Supersymmetric $(SU(3))^3$

G. Dvali·Q. Shafi
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Abstract

Within a supersymmetric unified framework we explore the resolution of the gauge hierarchy problem taking account of the non-renormalizable terms in the superpotential. For $[SU(3)]^3$ supplemented by a discrete R parity, we find the remarkable property that the vacuum configuration corresponding to the correct gauge symmetry breaking remains flat (in the supersymmetric limit) to all orders in $M^{-1}_{Planck}$. The grand unification scale arises from an interplay of the Planck and supersymmetry breaking scales. An `internal' $Z_3\otimes Z_4$ symmetry protects a pair of electroweak doublets from becoming superheavy, yielding at the same time the supersymmetric `$μ$ term' with the right order of magnitude. The $Z_4$ symmetry also acts as matter parity and eliminates the dangerous baryon number violating couplings.

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G. Dvali, Q. Shafi. 1994-04-25. Gauge Hierarchy, Planck Scale Corrections And The Origin of GUT Scale In Supersymmetric $(SU(3))^3$. https://doi.org/10.1016/0370-2693(94)90638-6

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