Left-right symmetric model with μ↔τ symmetry

We analyze the leptonic sector in the left-right symmetric model dressed with a (Z2) 3 discrete symmetry which realizes, after weak spontaneous breaking, a small broken μ↔τ symmetry that is suggested to explain observable neutrino oscillation data. μ↔τ symmetry is broken at tree level in the effective neutrino mass matrix due to the mass difference m∼τ≠mc mass terms, whereas all lepton mixings arise from a Majorana mass matrix. In the limit of a small breaking we determined θ13, and the deviation from the maximal value of θ23, in terms of the light neutrino hierarchy scale, m3, and a single free parameter hs of the model.