Maximal CP violation hypothesis is applied to a simple lepton mixing matrix form U=V_{ CKM}^\dagger U_{ TB}, which has recently been speculated under an ansatz that U becomes an exact tribimaximal mixing U_{ TB} in a limit of the quark mixing matrix V_{ CKM} \to { \bf 1}. The prediction \tan^2 \theta_{ 12} =1/2 in the case of the exact tribimaximal mixing U=U_{ TB} is onsiderably spoiled in the speculated mixing U=V_{ CKM}^\dagger U_{ TB}. However, the application of the hypothesis to the lepton sector can again recover the spoiled value to \tan^2 \theta_{ 12} \simeq 1/2 if the original Kobayashi-Maskawa phase convention for V_{ CKM} is adopted.

Categories: hep-ph

Maximal CP Violation Hypothesis and a Lepton Mixing Matrix