Dimension-Five Operators in Grand Unified Theories

Abstract

Extensions of the standard model with low-energy supersymmetry generically allow baryon- and lepton-number violating operators of dimension four and five, yielding rapid proton decay. The dimension-four operators are usually forbidden by matter parity. We investigate to what extent the appearance of dimension-five operators at the Planck scale may be constrained by the different grand-unified gauge groups. Dimension-five operators are suppressed in models based on E_6 and SU(3)_C x SU(3)_L x SU(3)_R, where four matter fields do not form a gauge singlet. An intermediate scale offers the possibility to sufficiently suppress these dimension-five operators.

4 pages, v3: version to appear in PRD

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Cited by in corpus (5)

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• Generation Symmetry and E_6 Unification
• Discrete gauge symmetries and proton stability in the U(1)'-extended MSSM
• Proton Decay at $M_{pl}$ and the Scale of SUSY-Breaking
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