Parametrization of the neutrino mixing matrix in a tri-bimaximal mixing pattern

Abstract

The neutrino mixing matrix is expanded in powers of a small parameter $\ensuremath{\lambda}$ in tribimaximal mixing pattern. We also present some applications of this parametrization, such as to the expression of the Jarlskog parameter $J$. Comparing with other parametrizations (such as the parametrization in bimaximal mixing pattern), this parametrization converges more quickly, but is of less symmetry.