Z_2 Symmetry Prediction for the Dirac CP Phase of Neutrino Mixing

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  • 4 April 2011
Abstract
We explore the model-independent consequences of applying a generalized hidden horizontal Z_2 symmetry to the neutrino mass matrix. A general relation between the Dirac CP phase {\delta}_D and the three mixing angles of the form 4 c_a s_a c_s s_s s_x cos {\delta}_D = (s^2_s - c^2_s s^2_x)(c^2_a - s^2_a) is established. This relation is independent of neutrino masses and whether neutrinos are Dirac- or Majorana-type and predicts that {\delta}_D is constrained to be almost maximal. It can be explored in future experiments, such as NO{\nu}A and T2K. On the other hand, the Majorana CP phases do not receive any constraint from horizontal symmetry and are thus model-dependent.

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