Lepton mixing predictions from Δ(6n2)\Delta(6n^2) family Symmetry

May 14, 2013
12 pages
Published in:
  • Phys.Lett.B 726 (2013) 312-315
  • Published: Oct 7, 2013
e-Print:

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Abstract: (Elsevier)
We obtain predictions of lepton mixing parameters for direct models based on Δ(6n2) 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(6n2) , 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(6n2) models with Majorana neutrinos predict trimaximal mixing with reactor angle θ13 fixed up to a discrete choice, an oscillation phase of either zero or π and the atmospheric angle sum rules θ23=45°∓θ13/2 , respectively, which are consistent with recent global fits and will be tested in the near future.
Note:
  • 12 pages, 1 figure, minor changes made, version published in Physics Letters B
  • symmetry: family
  • lepton: mixing
  • neutrino: Majorana
  • nuclear reactor
  • group theory
  • oscillation
  • atmosphere
  • sum rule