We show that a non-vanishing angle θ13 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 Gν and Ge of Gf, respectively. In this limit mixing angles and the Dirac CP violating phase δCP are determined. By choosing Gf=Δ(6n2) (n=4,8), Gν=Z2×Z2 and Ge=Z3 we find for n=4(8). At the same time θ23 and θ12 remain close to their experimental best fit values, particularly in the case n=8, where and . δCP is predicted to be 0 or π so that CP is conserved in our examples.
Discrete flavour symmetries in light of T2K
FERUGLIO, FERRUCCIO;
2011
Abstract
We show that a non-vanishing angle θ13 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 Gν and Ge of Gf, respectively. In this limit mixing angles and the Dirac CP violating phase δCP are determined. By choosing Gf=Δ(6n2) (n=4,8), Gν=Z2×Z2 and Ge=Z3 we find for n=4(8). At the same time θ23 and θ12 remain close to their experimental best fit values, particularly in the case n=8, where and . δCP is predicted to be 0 or π so that CP is conserved in our examples.Pubblicazioni consigliate
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