Ferruccio Feruglio, Claudia Hagedorn, Robert Ziegler
We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup and analyze the mathematical structure of the arising group G_{CP}. We show for general G_{CP}, broken to G_e contained in G_f in the charged lepton and to G_nu=Z_2 x CP in the neutrino sector, that lepton mixing angles and CP phases (Dirac as well as Majorana) only depend on one single parameter theta which can take values between 0 and 2 pi. We perform a comprehensive study for G_f=S_4 and find five cases which are phenomenologically interesting. They naturally lead to a non-zero reactor mixing angle and all mixing parameters are strongly correlated. Some of the patterns predict maximal atmospheric mixing and maximal Dirac phase, while others predict trivial Dirac and Majorana phases.
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http://arxiv.org/abs/1211.5560
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