Natural Suppression of Higgsino-Mediated Proton Decay in Supersymmetric SO(10)

Abstract

In supersymmetric Grand Unified Theories, proton decay mediated by the color--triplet higgsino is generally problematic and requires some fine--tuning of parameters. We present a mechanism which naturally suppresses such dimension 5 operators in the context of SUSY $SO(10)$. The mechanism, which implements natural doublet--triplet splitting using the adjoint higgs, converts these dimension 5 operators effectively into dimension 6. By explicitly computing the higgs spectrum and the resulting threshold uncertainties we show that the successful prediction of ${\sin }^2{\theta }_W$ is maintained {\it as a prediction} in this scheme. It is argued that only a weak suppression of the higgsino mediated proton decay is achievable within SUSY $SU(5)$ without fine--tuning, in contrast to a strong suppression in SUSY $SO(10)$.

39 pages (3 Feynman graphs not included), in Plain LaTeX, BA-93-26

References in corpus (2)

• Nucleon Decay in the Minimal Supersymmetric $SU(5)$ Grand Unification
• Uncertainties in Coupling Constant Unification

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