Gauge hierarchy, Planck scale corrections and the origin of GUT scale in supersymmetric (SU (3))3

G. Dvali; Q. Shafi

doi:10.1016/0370-2693(94)90638-6

Gauge hierarchy, Planck scale corrections and the origin of GUT scale in supersymmetric (SU (3))³

G. Dvali, Q. Shafi

Research output: Contribution to journal › Article › peer-review

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' Z₃ ⊗ Z₄ 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 Z₄ symmetry also acts as matter parity and eliminates the dangerous baryon number violating couplings.

Original language	English (US)
Pages (from-to)	241-247
Number of pages	7
Journal	Physics Letters B
Volume	339
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(94)90638-6
State	Published - Nov 17 1994

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(94)90638-6

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title = "Gauge hierarchy, Planck scale corrections and the origin of GUT scale in supersymmetric (SU (3))3",

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-1Planck. The grand unification scale arises from an interplay of the Planck and supersymmetry breaking scales. An 'internal' Z3 ⊗ Z4 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 Z4 symmetry also acts as matter parity and eliminates the dangerous baryon number violating couplings.",

author = "G. Dvali and Q. Shafi",

note = "Funding Information: One of us (Q.S.) acknowledges partial support by the Department of Energy Grant No. DE-FG02-91ER40626. We would like to thank R. Barbieri and K.S. Babu for discussions.",

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AU - Dvali, G.

AU - Shafi, Q.

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AB - 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-1Planck. The grand unification scale arises from an interplay of the Planck and supersymmetry breaking scales. An 'internal' Z3 ⊗ Z4 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 Z4 symmetry also acts as matter parity and eliminates the dangerous baryon number violating couplings.

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Gauge hierarchy, Planck scale corrections and the origin of GUT scale in supersymmetric (SU (3))³

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