Lepton masses and mixing from modular S4 symmetry
By J. Penedo, S. Petcov. Nuclear Physics B, 2018
239 citations recorded by the source corpus.
Abstract We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group Γ 4 ≃ S 4 and focus on the minimal scenario where the expectation value of the modulus is the only source of symmetry breaking, such that no flavons need to be introduced. After constructing a basis for the lowest weight modular forms, we build two minimal models, one of which successfully accommodates charged lepton masses and neutrino oscillation data, while predicting the values of the Dirac and Majorana CPV phases.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e175e04cf2ca15b0303d46994817ad6097d83339
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In Nuclear and High Energy Physics
- Z. Xing
- A. Titov
- P. Novichkov
- S. Petcov
- J. Penedo
- Gui-Jun Ding
- Xiang-Gan Liu
- Patrick K. S. Vaudrevange
Citations in the corpus
- Neutrino masses and mixing from double covering of finite modular groups (2019, background): “The modular forms for modular groups Γ(2) [16–18], Γ(3) [15, 19–22], Γ(4) [23, 24] and Γ(5) [25,26] have been constructed in a variety of ways, and the related phenomenological predictions for neutrino mixing have all been discussed in the literature.”
- Unification of flavor, CP, and modular symmetries (2019, background): “It also allows a connection to model constructions that use T -duality transformations, or more general subgroups of the modular transformations, as flavor symmetries [19–33], especially for the mixings in the lepton sector.”
- Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “[30].”
- Flavor structures of charged fermions and massive neutrinos (2019, background): “In addition to an early and general description of some typical finite modular symmetry groups and their possible phenomenological applications [922], some concrete model-building exercises based on modular A4 [746, 747, 748, 937, 938, 940, 941, 942, 943, 944, 945], modular S 3 [751], modular S 4 [9”
- Modular S4 models of lepton masses and mixing (2018, methodology): “Reference [9] studies modular S4 models in which the neutrino masses are generated via the supersymmetric Weinberg operator.”