Suppressing Proton Decay by Cancellation in S_4 Flavor Symmetric Extra U(1) Model

TL;DR

This paper proposes a model based on E_6 inspired extra U(1) symmetry with S_4 flavor symmetry that suppresses proton decay via cancellation effects, aligning with hierarchical Yukawa couplings and predicting specific decay width hierarchies.

Contribution

It introduces a novel cancellation mechanism within an S_4 flavor symmetric E_6 inspired model to enhance proton stability and predicts specific decay width hierarchies.

Findings

Proton decay widths for p -> mu^+, X are suppressed by flavor symmetry cancellation.

The model predicts p -> e^+, K^0 decay width exceeds that of p -> mu^+, K^0.

Proton lifetime is extended due to the flavor symmetry effects.

Abstract

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.