Perturbative generation of theta_{13} from tribimaximal neutrino mixing

Abstract

Solar and atmospheric neutrino oscillations are consistent with a tribimaximal form of the mixing matrix $U$ of the lepton sector. Exact tribimaximal mixing leads to ${\theta }_{13}=0$. Recent results from the Daya Bay and RENO experiments have established a non-zero value of ${\theta }_{13}$. Keeping the leading behaviour of $U$ as tribimaximal we perform a model-independent perturbative calculation to incorporate a non-vanishing ${\theta }_{13}$. We identify the nature of the perturbation matrix and consider the possibility of the solar neutrino splitting also resulting from it. We calculate up to first order in perturbation theory and evaluate the deviations proportional to $\sin {\theta }_{13}$ while including CP-nonconservation. Finally, we briefly discuss a gauge model where such an addition to the neutrino mass matrix arises through one-loop effects.

9 pages, 1 eps fig. v2: Several corrections and new results. References added. v3: More discussions and clarifications in presentation, published version

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Cited by in corpus (17)

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• Smallness of θ_{13} and the size of the Solar Mass Splitting: Are they related?
• Perturbative Bottom-up Approach for Neutrino Mass Matrix in Light of Large θ_{13} and Role of Lightest Neutrino Mass
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• Ameliorating the popular lepton mixings with A4 symmetry: A see-saw model for realistic neutrino masses and mixing
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• Generating CP violation from a modified Fridberg-Lee model
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