Fermion mixings vs d=6 proton decay

Abstract

It is well known, although sometimes ignored, that not only the d=5 but also d=6 proton decay depends on fermion mixings. In general we study carefully the dependence of d=6 decay on fermion mixings using the effective operator approach. We find that without specifying a theory it is impossible to make clear predictions. Even in a given model, it is often not possible to determine all the physical parameters. We point out that it is possible to make a clear test of any grand unified theory with symmetric Yukawa couplings. We discuss in some detail realistic theories based on SU(5) and SO(10) gauge symmetry.

12 pages, two new references, a new equation, and few corrections

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• The minimal supersymmetric grand unified theory
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• Minimal SUSY SO(10) model and predictions for neutrino mixings and leptonic CP violation
• The minimal supersymmetric grand unified theory: I. symmetry breaking and the particle spectrum
• Proton Decay in a Consistent Supersymmetric SU(5) GUT Model

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