1307.5308 (Claudia Hagedorn et al.)

Mixing Patterns from the Groups Sigma (n phi)    [PDF]

Claudia Hagedorn, Aurora Meroni, Lorenzo Vitale

We survey the mixing patterns which can be derived from the discrete groups Sigma (36 x 3), Sigma (72 x 3), Sigma (216 x 3) and Sigma (360 x 3), if these are broken to abelian subgroups Ge and Gnu in the charged lepton and neutrino sector, respectively. Since only Sigma (360 x 3) possesses Klein subgroups, only this group allows neutrinos to be Majorana particles. We find only a few patterns that agree well with the experimental data on lepton mixing and predict the reactor mixing angle theta_{13} to be 0.1 <= theta_{13} <= 0.2. All these patterns lead to a trivial Dirac phase. Patterns which instead reveal CP violation tend to accommodate the data not well. We also comment on the outer automorphisms of the discussed groups, since they can be useful for relating inequivalent representations of these groups.

View original: http://arxiv.org/abs/1307.5308