Modular A4 invariance and neutrino mixing

By Tatsuo C. Kobayashi, Naoya Omoto, Yusuke Shimizu, Kenta Takagi, M. Tanimoto, T. H. Tatsuishi. Journal of High Energy Physics, 2018

138 citations recorded by the source corpus.

We study the phenomenological implications of the modular symmetry Γ(3) ≃ A4 of lepton flavors facing recent experimental data of neutrino oscillations. The mass matrices of neutrinos and charged leptons are essentially given by fixing the expectation value of modulus τ, which is the only source of modular invariance breaking. We introduce no flavons in contrast with the conventional flavor models with A4 symmetry. We classify our neutrino models along with the type I seesaw model, the Weinberg operator model and the Dirac neutrino model. In the normal hierarchy of neutrino masses, the seesaw model is available by taking account of recent experimental data of neutrino oscillations and the cosmological bound of sum of neutrino masses. The predicted sin2θ23 is restricted to be larger than 0.54 and δCP = ±(50°-180°). Since the correlation of sin2θ23 and δCP is sharp, the prediction is testable in the future. It is remarkable that the effective mass mee of the neutrinoless double beta decay is around 22 meV while the sum of neutrino masses is predicted to be 145 meV. On the other hand, for the inverted hierarchy of neutrino masses, only the Dirac neutrino model is consistent with the experimental data.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fb335da7a076e7e8d8483edb1bb894bd0701ef67

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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.”
Flavor structures of charged fermions and massive neutrinos (2019, methodology): “A careful numerical analysis shows that this modular A4 symmetry model is compatible with current neutrino oscillation data, but it involves a number of free parameters besides the complex modulus parameter τ [1024].”
Modular A5 symmetry for flavour model building (2018, background): “[19, 20], where several viable examples have been presented.”
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.”