Deconstruction and Bilarge Neutrino Mixing

We present a model for lepton masses and mixing angles using the deconstruction setup, based on a non-Abelian flavor symmetry which is a split extension of the Klein group Z2 × Z2. The symmetries enforce an approximately maximal atmospheric mixing angle θ23, a nearly vanishing reactor mixing angle θ13, and the hierarchy of charged lepton masses. The charged lepton mass spectrum emerges from the Froggatt-Nielsen mechanism interpreted in terms of deconstructed extra dimensions compactified on S1. A normal neutrino mass hierarchy arises from the coupling to right-handed neutrinos propagating in latticized S/Z2 orbifold extra dimensions. Here, the solar mass squared difference ∆m⊙ is suppressed by the size of the dynamically generated bulk manifold. Without tuning of parameters, the model yields the solar mixing angle θ12 = arctan 1/ √ 2. Thus, the obtained neutrino masses and mixing angles are all in agreement with the Mikheyev–Smirnov–Wolfenstein large mixing angle solution of the solar neutrino problem.