Lepton mixing parameters from discrete and CP symmetries
By F. Feruglio, C. Hagedorn, R. Ziegler. 2012
237 citations recorded by the source corpus.
A bstractWe consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group Gf is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton mixing angles and CP phases (Dirac as well as Majorana) only depend on one single parameter θ which can take values between 0 and π, if the residual symmetries are Ge ⊂ Gf in the charged lepton and Gν = Z2 × CP in the neutrino sector. We perform a comprehensive study for Gf = S4 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8a9f52ddc91dc931ca1ee5b5a5a94981d27da842
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In Nuclear and High Energy Physics
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Citations in the corpus
- Flavor structures of charged fermions and massive neutrinos (2019, methodology): “It has recently been improved or extended in two aspects: on the one hand, the flavor symmetry group is combined with the “generalized CP” (GCP) transformation [957, 958] so as to predict or constrain the Majorana phases of CP violation; on the other hand, the flavor symmetry group is combined with ”
- Generalised CP symmetry in modular-invariant models of flavour (2019, background): “This equation defines the consistency condition, which has to be respected for consistent implementation of a gCP symmetry along with a flavour symmetry, provided the full flavour symmetry group Gf has been correctly identified [6, 7].”
- Neutrino masses and mixing from double covering of finite modular groups (2019, background): “Discrete flavor symmetry in combination with generalized CP symmetry can give rise to rather predictive models [2–10], see [11] for a detailed list of references.”
- Unification of flavor, CP, and modular symmetries (2019, background): “More recently, however, it was suggested that CP should be considered as an outer automorphism of the flavor group [1–5].”