Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-04-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 1 eps fig
Scientific paper
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 reactor 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 for the purpose of incorporating a small but non-vanishing theta_{13}. We calculate up to first order in perturbation theory and include corrections proportional to \sin \theta_{13}. We identify the nature of the perturbation matrix and consider the possibility of the solar neutrino splitting to also arise perturbatively. Finally we briefly discuss a gauge model where such a correction term arises through one loop effects.
Brahmachari Biswajoy
Raychaudhuri Amitava
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