Modular S4 models of lepton masses and mixing

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

154 citations recorded by the source corpus.

We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group Γ4 ≃ S4. We analyse the minimal scenario in which the only source of symmetry breaking is the vacuum expectation value of the modulus field. In this scenario there is no need to introduce flavon fields. Using the basis for the lowest weight modular forms found earlier, we build minimal phenomenologically viable models in which the neutrino masses are generated via the type I seesaw mechanism. While successfully accommodating charged lepton masses, neutrino mixing angles and mass-squared differences, these models predict the values of the lightest neutrino mass (i.e., the absolute neutrino mass scale), of the Dirac and Majorana CP violation (CPV) phases, as well as specific correlations between the values of the atmospheric neutrino mixing parameter sin2θ23 and i) the Dirac CPV phase δ, ii) the sum of the neutrino masses, and iii) the effective Majorana mass in neutrinoless double beta decay. We consider also the case of residual symmetries ℤ3ST and ℤ2S respectively in the charged lepton and neutrino sectors, corresponding to specific vacuum expectation values of the modulus.

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

View Paper: https://www.semanticscholar.org/paper/42d35cba4972a353d4cc4c552c9334936d23e720

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): “ups are isomorphic to permutation groups (see, e.g., [22]) used to build models of lepton and quark avours. Until now models based on the nite modular groups 2 ’S 3 [23,24], 3 ’A 4 [21,23{29], 4 ’S 4 [30,31] and 5 ’A 5 [32,33] have been constructed in the literature. In a top-down approach, the inte”
• Modular A5 symmetry for flavour model building (2018, methodology): “[21], we have constructed in a systematic way models based on Γ4 ' S4, in which light neutrino masses are generated via the type I seesaw mechanism and where no flavons are introduced.”
• 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.”