Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing

In this paper we study a parametrized description of neutrino mixing from a phenomenological point of view. We concentrate on the parametrization in terms of higher order corrections to the leading order mixing matrix. A method to describe subleading contributions and its applications to tri-bimaximal mixing are discussed. We show that mixing matrices similar to tri-bimaximal-Cabibbo mixing can be obtained by straightforward choices of parameters. To achieve better agreement with the experimental data without increasing the number of free parameters, we impose a simple phenomenological relation from which a trimaximal-like mixing matrix, parametrized by U_{e3} = sin\theta_{13} e^{-i \varphi}, can be derived straightforwardly without imposing additional requirements. It can describe the current global fit to three-neutrino mixing with good accuracy. Its theoretical explanation and phenomenological applications are discussed briefly.