Modular A5 symmetry for flavour model building

By P. Novichkov, J. Penedo, S. Petcov, A. Titov. Journal of High Energy Physics, 2018

159 citations recorded by the source corpus.

In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃ A5. We explicitly construct a basis for the 11 modular forms of weight 2 and level 5. We show how these forms arrange themselves into two triplets and a quintet of A5. We also present multiplets of modular forms of higher weight. Finally, we provide an example of application of our results, constructing two models of neutrino masses and mixing based on the supersymmetric Weinberg operator.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/67abbc2fa86f5f6edb49cac34ff13eb2af2d943c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Z. Xing
2. A. Titov
3. P. Novichkov
4. S. Petcov
5. J. Penedo
6. Gui-Jun Ding
7. Xiang-Gan Liu
8. W. Rodejohann

In Statistical and Nonlinear Physics

1. Z. Xing
2. S. Petcov
3. J. Penedo
4. P. Novichkov
5. A. Titov
6. Xiang-Gan Liu
7. Gui-Jun Ding

Citations in the corpus

• 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 [1005], some concrete model-building exercises based on modular A4 [814, 815, 816, 1021, 1022, 1024, 1025, 1026, 1027, 1028, 1029], modular S3 [819], modula”
• Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “est weight irreps 2 3 2;30 3;30;5 Table 3: Dimensions of the linear spaces of modular forms at generic weight kand at the lowest weight (k= 2) [51], including the irrep breakdown at the lowest weight [21,23,30,32], for the nite modular groups N with N5. Below, for each N5, we reproduce explicit expr”
• 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.”