1204.5619 (Biswajoy Brahmachari et al.)

Perturbative generation of theta_{13} from tribimaximal neutrino mixing    [PDF]

Biswajoy Brahmachari, Amitava Raychaudhuri

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.

View original: http://arxiv.org/abs/1204.5619