Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices

Abstract

We study perturbations of exactly tri-bimaximal neutrino mixings under the assumption that they are coming solely from the charged lepton mass matrix. This may be plausible in scenarios where the mass generation mechanisms of neutrinos and charged leptons/quarks have a different origin. As a working hypothesis, we assume mass textures which may be generated by the Froggatt-Nielsen mechanism for the charged lepton and quark sectors, which generically leads to strong hierarchies, whereas the neutrino sector is exactly tri-bimaximal with a mild (normal) hierarchy. We find that in this approach, deviations from maximal atmospheric mixing can be introduced without affecting theta_13 and theta_12, whereas a deviation of theta_13 or theta_12 from its tri-bimaximal value will inevitably lead to a similar-sized deviation of the other parameter. Therefore, the already very precise knowledge of theta_12 points towards small sin^2(2 theta_13) <= 0.01. The magnitude of this deviation can be controlled by the specific form of the charged lepton texture.

13 pages, 9 figures; matches published version, changes in notation

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Cited by in corpus (12)

• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• Perturbative generation of theta_{13} from tribimaximal neutrino mixing
• Viability of the exact tri-bimaximal mixing at M_{GUT} in SO(10)
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Smallness of θ_{13} and the size of the Solar Mass Splitting: Are they related?
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Perturbative Bottom-up Approach for Neutrino Mass Matrix in Light of Large θ_{13} and Role of Lightest Neutrino Mass
• Modulated bimaximal neutrino mixing
• Generating CP violation from a modified Fridberg-Lee model
• The special Two zeros texture based on $A_4$ symmetry and perturbation method