Proton decay and realistic models of quark and lepton masses

Abstract

It is shown that in realistic SUSY GUT models of quark and lepton masses both the proton decay rate and branching ratios differ in general from those predicted in the minimal $SU(5)$ supersymmetric model. The observation of proton decay, and in particular the branching ratio $B[(p\to {\pi }^{+}\overline{\nu })/(p\to K^{+}\overline{\nu })]$, would thus allow decisive tests of these fermion mass schemes. It is shown that the charged lepton decay modes $p\to K^0{\mu }^{+},p\to K^0{e}^{+}$ arising through gluino dressing diagrams are significant and comparable to the neutrino modes in large tan$\beta$ models. Moreover, it is found that in certain classes of models the Higgsino-mediated proton decay amplitudes are proportional to a model-dependent group-theoretical factor which in some cases can be quite small. The most interesting such class consists of $SO(10)$ models in which the dominant flavor-symmetric contribution to the up-quark mass matrix comes from an effective operator of the form ${16}_i{16}_j{10}_H{45}_H$, where $⟨{45}_H⟩$ points approximately in the $I_{3R}$ direction. This class includes a recent model of quark and lepton masses proposed by the authors.

24 pages (includes LaTeX figures)

References in corpus (3)

• Natural Suppression of Higgsino-Mediated Proton Decay in Supersymmetric SO(10)
• Suppression of Proton Decay in the Missing-Partner Model for Supersymmetric SU(5) GUT
• "An SO(10) Solution to the Puzzle of Quark and Lepton Masses"

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• Deriving Models for keV sterile Neutrino Dark Matter with the Froggatt-Nielsen mechanism
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• Probing the Planck Scale with Proton Decay
• Bi-maximal Neutrino Mixings And Proton Decay In SO(10) With Anomalous Flavor $\mathcal{U}(1)$
• Realistic Fermion Masses and Nucleon Decay Rates in SUSY SU(5) with Vector-Like Matter
• Eliminating the d=5 proton decay operators from SUSY GUTs
• Realistic Quark and Lepton Masses through SO(10) Symmetry
• New Class of SO(10) Models for Flavor
• The problem of neutrino masses in extensions of the Standard Model
• Gauge Coupling Unification and Phenomenology of Selected Orbifold 5D N=1 SUSY Models
• Suppression of Higgsino mediated proton decay by cancellations in GUTs and strings
• Peccei-Quinn Symmetry and Nucleon Decay in Renormalizable SUSY SO(10)
• Proton Decay, Neutrino Oscillations And Other Consequences From Supersymmetric SU(6) With Pseudo-Goldstone Higgs
• Lifting a Realistic SO(10) Grand Unified Model to Five Dimensions
• Couplings of Vector-Spinor Representation for SO(10) Model Building
• On suppressing the Higgsino-mediated proton decay in SUSY SO(10) GUT's
• Getting the Supersymmetric Unification Scale from Quantum Confinement with Chiral Symmetry Breaking
• Search for nucleon decay into lepton + K0 final states using Soudan 2
• Fermion Mass Hierarchy without Flavour Symmetry
• Leptoquarks in SUSY Unified Models and the HERA Events