Discrete Flavour Symmetries in Light of T2K
Abstract
We show that a non-vanishing angle theta13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group Gf which is broken in such a way that neutrino and charged lepton sectors remain invariant under the subgroups Gnu and Ge of Gf, respectively. In this limit mixing angles and the Dirac CP violating phase deltaCP are determined. By choosing Gf=Delta(6 n2) (n=4,8), Gnu=Z2 x Z2 and Ge=Z3 we find sin2 theta13=0.045(0.011) for n=4(8). At the same time theta23 and theta12 remain close to their experimental best fit values, particularly in the case n=8, where sin2 theta23 = 0.424 and sin2 theta12 = 0.337. deltaCP is predicted to be 0 or pi so that CP is conserved in our examples.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.