Realistic Fermion Masses and Nucleon Decay Rates in SUSY SU(5) with Vector-Like Matter

Abstract

We show that by adding a vector-like 5+5bar pair of matter fields to the spectrum of the minimal renormalizable SUSY SU(5) theory the wrong relations for fermion masses can be corrected, while being predictive and consistent with proton lifetime limits. Threshold correction from the vector-like fields improves unification of gauge couplings compared to the minimal model. It is found that for supersymmetric spectra lighter than 3 TeV, which would be testable at the LHC, at least some of the nucleon decay modes should have partial lifetimes shorter than about 2.10^34 yrs., which is within reach of ongoing and proposed experiments.

25 pages, no figures. Slightly expanded, references added

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• Updated Values of Running Quark and Lepton Masses
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• Muon g-2 in an Alternative Quasi-Yukawa Unification with Low Fine-Tuned Inverse SeeSaw Mechanism
• Vector-Like Quarks and Leptons, SU(5) $\otimes$ SU(5) Grand Unification, and Proton Decay
• Lepton Flavour Violation in minimal grand-unified type II seesaw models
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Quasi Yukawa Unification and Fine-Tuning in U(1) Extended SSM
• Towards the minimal renormalizable supersymmetric $E_6$ model
• Challenging the minimal supersymmetric SU(5) model
• Statistical significances and projections for proton decay experiments
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• Quantum corrections and the minimal Yukawa sector of $SU(5)$
• Three Family SU(5) GUT and Inverted Neutrino Mass Hierarchy
• A bottom-up approach to fermion mass hierarchy: a case with vector-like fermions
• Proton Lifetime in Minimal SUSY SU(5) in Light of LHC Results
• R-parity violation in SU(5)
• Revisiting $\mathrm{SU}(5)$ Yukawa Sectors Through Quantum Corrections