Suppressing Proton Decay by Cancellation in S₄ Flavor Symmetric Extra U(1) Model

We consider proton stability based on E_6 inspired extra U(1) model with S_4 flavor symmetry. In this model, a long life time of proton is realized by the flavor symmetry. One of the interesting effects of flavor symmetry is that the proton decay widths of p -> mu^+, X are suppressed by cancellation. This suppression mechanism is important in the case that Yukawa coupling constants are hierarchical. Our model predicts p -> e^+, K^0 has larger decay width than that of p -> mu^+, K^0.