Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry

By F. Feruglio, C. Hagedorn, Y. Lin, L. Merlo. 2007

218 citations recorded by the source corpus.

Abstract We build a supersymmetric model of quark and lepton masses based on the discrete flavour symmetry group T ′ , the double covering of A 4 . In the lepton sector our model is practically indistinguishable from recent models based on A 4 and, in particular, it predicts a nearly tri-bimaximal mixing, in good agreement with present data. In the quark sector a realistic pattern of masses and mixing angles is obtained by exploiting the doublet representations of T ′ , not available in A 4 . To this purpose, the flavour symmetry T ′ should be broken spontaneously along appropriate directions in flavour space. In this paper we fully discuss the related vacuum alignment problem, both at the leading order and by accounting for small effects coming from higher-order corrections. As a result we get the relations: m d / m s ≈ | V u s | and m d / m s ≈ | V t d / V t s | .

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Citations in the corpus

• A predictive A4 model, charged lepton hierarchy and tri-bimaximal sum rule (2008, unknown): “1e-mail address: yinlin@pd.infn.it”
• CP and discrete flavour symmetries (2012, methodology): “We use the Clebsch-Gordan coefficients given in appendix A of [51] for the Kronecker products.”
• Neutrino masses and mixing from double covering of finite modular groups (2019, methodology): “he odd dimensional representations. The T0group as avor symmetry for both quark and lepton has been discussed in the literature [43{48]. In the present work we choose a basis similar to that of Refs. [43,45], the explicit forms of the 15 generators S, Tand R in each irreducible representations are l”
• Finite flavour groups of fermions (2011, background): “For the tensor products, we refer the reader to [34].”