Proton Stability in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
  We consider proton stability based on E_6 inspired extra U(1) model with S_4 x Z_2 flavor symmetry. In this model, a long life time of proton is realized by the flavor symmetry in several ways. We classify the suppression mechanisms of proton-decay and explain how the flavor symmetry works. There is an interesting solution, such as, in a special direction of vacuum expectation value (VEV), baryon number violating interactions are canceled. In the case that the suppression of proton decay is realized by the appropriate size of VEV, the allowed region of VEV exists when the exotic quark mass is O(TeV). From the constraint for the life time of exotic quark, the right handed neutrino mass should be in narrow range around 10^{12} GeV. 
Yasuhiro Daikoku, Hiroshi Okada
hep-ph