NEW PARAMETRIZATION OF NEUTRINO MIXING MATRIX

Abstract

Global fits to neutrino oscillation data are compatible with tri-bimaximal mixing pattern, which predict θ23 = π/4, [Formula: see text] and θ13 = 0. We propose here to parametrize the tri-bimaximal mixing matrix V TBM by its hermitian generator H TBM using the exponential map. Then we use the exponential map to express the deviations from tri-bimaximal pattern by deriving the hermitian matrices Hz = 0 and H1. These deviations might come from the symmetry breaking of the neutrino and charged lepton sectors.