Trimaximal neutrino mixing from modular A4 invariance with residual symmetries
By P. Novichkov, S. Petcov, M. Tanimoto. Physics Letters B, 2018
173 citations recorded by the source corpus.
Abstract We construct phenomenologically viable models of lepton masses and mixing based on modular A 4 invariance broken to residual symmetries Z 3 T or Z 3 S T and Z 2 S respectively in the charged lepton and neutrino sectors. In these models the neutrino mixing matrix is of trimaximal mixing form. In addition to successfully describing the charged lepton masses, neutrino mass-squared differences and the atmospheric and reactor neutrino mixing angles θ 23 and θ 13 , 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 the existence of specific correlations between i) the values of the solar neutrino mixing angle θ 12 and the angle θ 13 (which determines θ 12 ), ii) the values of the Dirac CPV phase δ and of the angles θ 23 and θ 13 , iii) the sum of the neutrino masses and θ 23 , iv) the neutrinoless double beta decay effective Majorana mass and θ 23 , and v) between the two Majorana phases.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c6d6e9e721b69d8cffedd75c3ca03e02935e799a
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Citations in the corpus
- 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.”
- Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “At the left and right cusps of the fundamental domain, τL = −1/2 + i √ 3/2 and τR = 1/2 + i √ 3/2, and at τC = i, the symmetry is enhanced to ZCP 2 × ZST 3 , ZCP 2 × ZTS 3 and ZCP 2 × Z2 , respectively [31], while at τT = i∞, the symmetry in the case of ΓN is enhanced to ZCP 2 × ZN [29, 31].”
- 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 [959], some concrete model-building exercises based on modular A4 [776, 777, 778, 974, 975, 977, 978, 979, 980, 981, 982], modular S 3 [781], modular S 4 [9”