Lepton mixing predictions from Δ(6n2) family symmetry

Abstract We obtain predictions of lepton mixing parameters for direct models based on Δ ( 6 n 2 ) family symmetry groups for arbitrarily large n in which the full Klein symmetry is identified as a subgroup of the family symmetry. After reviewing and developing the group theory associated with Δ ( 6 n 2 ) , we find many new candidates for large n able to yield reactor angle predictions within 3 σ of recent global fits. We show that such Δ ( 6 n 2 ) models with Majorana neutrinos predict trimaximal mixing with reactor angle θ 13 fixed up to a discrete choice, an oscillation phase of either zero or π and the atmospheric angle sum rules θ 23 = 45 ° ∓ θ 13 / 2 , respectively, which are consistent with recent global fits and will be tested in the near future.