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Large-Theta(13) Perturbation Theory of Neutrino Oscillation
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Keeping in mind the possibility of large theta(13), which will be soon explored by reactor and accelerator experiments, I formulate a perturbation theory of neutrino oscillation under the ansatz, sin^2(theta_{13}) \simeq Delta m^2_{21}/\Delta m^2_{31} \simeq 0.03, which is comparable to the Chooz limit. Under the framework, I derive the perturbative formula of the nu_{e} appearance probability valid to order \epsilon^2 in which effects of arbitrary matter density profile is taken into account. I use the formula to analyze problem of possible obstruction to detecting lepton CP violation by effects of asymmetry in matter density profile. Though the asymmetry could be large for neutrino trajectories which traverse both continental and sea crust, its effect on obscuring CP violation measurement is found to be quite small.
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Physics of parameter correlations around the solar-scale enhancement in neutrino theory with unitarity violation
A new first-order perturbation theory for solar-scale neutrino oscillations with non-unitary mixing shows that δ and the non-unitarity α parameters form physical, convention-independent phase correlations.
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