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Proton stability in supersymmetric $S U (5)$

Physics Department, Theory Division, CERN, CH-1211 Geneva 23, Switzerland and Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA

^*zurab.tavartkiladze@okstate.edu

Phys. Rev. D 76, 055012 – Published 28 September, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.055012

Abstract

Within supersymmetric $S U (5)$ grand unified theory (GUT) we suggest mechanisms for suppression of baryon number violating dimension five and six operators. The mechanism is based on the idea of split multiplets (i.e. quarks and leptons are not coming from a single GUT state) which is realized by an extension with additional vectorlike matter. The construction naturally avoids wrong asymptotic relation ${\hat{M}}_{D} = {\hat{M}}_{E}$ . Thus, the long-standing problems of the minimal supersymmetric $S U (5)$ GUT can be resolved. In a particular example of flavor structure and with additional $U (1) \times Z_{3 N}$ symmetry we demonstrate how the split multiplet mechanism works out. Namely, the considered model is compatible with successful gauge coupling unification and realistic fermion mass pattern. The nucleon decay rates are relatively suppressed and can be well compatible with current experimental bounds.

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References (28)

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Proton stability in supersymmetric $S U (5)$

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Proton stability in supersymmetric SU(5)

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Proton stability in supersymmetric $S U (5)$