Abstract
We introduce a new index of the leptonic CP phase dependence $I_{\rm CP}$ and derive the maximal condition for this index in a simple and general form. $I_{\rm CP}\simeq 100%$ may be realized even in the JPARC experiment. In the case that the 1-3 mixing angle can be observed in the next generation reactor experiments, namely $\sin^2 2\theta_{13}>0.01$, and nevertheless $\nu_e$ appearance signal cannot be observed in the JPARC experiment, we conclude that the CP phase $\delta$ becomes a value around $135^{\circ}$ $(45^{\circ})$ for $\Delta m^2_{31}>0$ $(\Delta m^2_{31}<0)$ without depending the uncertainties of solar and atmospheric parameters.
Highlights
In future experiments, the determination of the leptonic CP phase δ is one of the most important aim in elementary particle physics
We investigated the case for large θ13, which will be confirmed by generation reactor experiments
We introduced a new index of the CP phase dependence ICP and derived their maximal condition in a simple and general form
Summary
The determination of the leptonic CP phase δ is one of the most important aim in elementary particle physics. Pμe and Pμe are the oscillation probabilities for the transition νμ → νe and νμ → νe respectively This index has to be improved on the following three points. We derive the maximal condition of this index exactly for νμ → νe transition This index can be extended to the case for other channels and other parameters [6]. There is the possibility that νe appearance signal cannot be observed in certain mass squared differences and mixing angles even the case for large θ13. This means that we cannot neglect the CP phase effect, which is neglected in many investigations as the first approximation
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