Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models

Abstract

We analyse how a large value of the leptonic mixing angle θ_{13}^{MNS} can be generated via charged lepton corrections in unified flavour models, using novel combinations of Clebsch-Gordan factors for obtaining viable quark-lepton mass ratios for the first two families. We discuss how these Clebsch-Gordan factors affect the relations between down-type quark mixing and charged lepton mixing in SU(5) GUTs and Pati-Salam unified models and calculate the resulting possible predictions for θ_{13}^{MNS} for models with θ_{13}^ν, θ_{13}^e << θ_{12}^e. While symmetric mass matrices with zero (1,1)-elements always lead to comparatively small θ_{13}^{MNS} \approx 2.8 degrees, we find novel combinations of Clebsch-Gordan factors for non-symmetric mass matrices which can yield θ_{13}^{MNS} \approx 5.1 degrees, 6.1 degrees, 7.6 degrees or 10.1 degrees, as favoured by the current experimental hints for large θ_{13}^{MNS}. We discuss applications to classes of models with underlying tri-bimaximal or bimaximal mixing in the neutrino sector.

8 pages, version published in PRD

References in corpus (7)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Evidence of theta(13)>0 from global neutrino data analysis
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule

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