Dependence of Neutrino Mixing Angles and CP-violating Phase on Mixing Matrix Parametrizations

Abstract

We consider various neutrino mixing matrix parametrizations and the dependence of the mixing angles and CP-violating phase on the different parametrizations. The transformations of neutrino mixing parameters between various parametrizations are presented. Although the $\hat{I}{¸}_{13}$ mixing angle is determined to be small in the conventional parametrization, we note that in several other parametrizations the values of $\hat{I}{¸}_{13}$ are quite large. Should the value of $\hat{I}{¸}_{13}$ turn out to be tiny in the conventional parametrization, this study suggests that other alternative mixing matrix representations would be more suitable for dertermining the value of the CP-violating phase.

11 pages, 1 figure