Neutrino mixing from finite modular groups
By Tatsuo C. Kobayashi, Kenta Tanaka, T. H. Tatsuishi. Physical Review D, 2018
174 citations recorded by the source corpus.
We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus. We study the possibilities that these models realize realistic values of neutrino masses and lepton mixing angles.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b3820fbdbbfce86592ee55b14baf881ce53bb252
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In Nuclear and High Energy Physics
Citations in the corpus
- Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “[23], and reads (up to normalisation):”
- 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.”
- Flavor structures of charged fermions and massive neutrinos (2019, background): “The two-dimensional torus can be constructed as R2 divided by a twodimensional lattice Λ, which is spanned by the vectors (α1, α2) = (2πR, 2πRτ) with R being real and τ being a complex modulus parameter [776, 959, 974, 975].”
- Modular A5 symmetry for flavour model building (2018, background): “In a certain basis the two generating modular forms transform in the 2-dimensional irrep of S3 [15].”
- Unification of flavor, CP, and modular symmetries (2019, background): “It would also connect to bottom-up constructions that use duality transformations for models of mixing in the quark and especially the lepton sector [21–33], although there are two major differences between these studies and our present point of view.”
- Modular A4 invariance and neutrino mixing (2018, background): “Along with this work, Γ(2) ' S3 [30] and Γ(4) ' S4 [31] have been discussed as well as the numerical works [32].”
- Modular S4 models of lepton masses and mixing (2018, background): “0 1 (1) [6] 1 (3) [6] 5 (7) [10] 2 3 (5) [8] 3 (5) [8] 7 (9) [12] 4, ρN 6= ρL 5 (7) [10] 5 (7) [10] 9 (11) [14] 4, ρN = ρL 7 (9) [12] 7 (9) [12] 11 (13) [16]”