Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase

Details Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase

2011-04-04

arxiv.org/abs/1104.0602v2

Phys.Lett.B702:220-223,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 4 figures; Condensed version or PLB with references added; for more details see the previous version

Scientific paper

10.1016/j.physletb.2011.06.096

Model-independent consequences of applying a generalized hidden horizontal Z_2 symmetry to the neutrino mass matrix are explored. The Dirac CP phase delta_D can be expressed in terms of the three mixing angles as 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) where the s_i, c_i are sines and cosines of the atmospheric, solar, and reactor angles. This relation is independent of neutrino masses and whether neutrinos are Dirac- or Majorana-type. Given the present constraints on the angles, delta_D is constrained to be almost maximal, a result which can be explored in experiments such as NOvA and T2K. The Majorana CP phases do not receive any constraint and are thus model-dependent. Also a distribution of theta_x with a lower limit is obtained without specifying delta_D.

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