Mixing Patterns from the Groups Sigma (n phi)

Understand

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 a few patterns that can agree well with the experimental data on lepton mixing in scenarios with small corrections and that predict the reactor mixing angle theta_{13} to be 0.1 <= theta_{13} <= 0.2.
• All these patterns lead to a trivial Dirac phase.