Abstract
Hermitian squared mass matrices of charged leptons and light neutrinos in the flavor basis are studied under general additive lowest order perturbations away from the tribimaximal (TBM) limit in which a weak basis with mass diagonal charged leptons is chosen. Simple analytical expressions are found for the three measurable TBM-deviants in terms of perturbation parameters appearing in the neutrino and charged lepton eigenstates in the flavor basis. Taking unnatural cancellations to be absent and charged lepton perturbation parameters to be small, interrelations are derived among masses, mixing angles and the amount of CP-violation.
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Notes
- 1.
Note that \(\sqrt{2}~c_{12}+s_{12} =\sqrt{3}+O(\varepsilon ^2)\) and \(c_{23}+s_{23}=\sqrt{2} + O(\varepsilon ^2)\) are automatic.
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Brahmachari, B., Roy, P. (2016). Constrained Analytical Interrelations in Neutrino Mixing. In: Bhuyan, B. (eds) XXI DAE-BRNS High Energy Physics Symposium. Springer Proceedings in Physics, vol 174. Springer, Cham. https://doi.org/10.1007/978-3-319-25619-1_55
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