Leptonic mixing matrix in terms of Cabibbo angle

Abstract

We phenomenologically build a neutrino mass matrix which obeys the µ−τ symmetry with only two free parameters, Cabibbo angle (λ) and a flavour twister parameter(η). For vanishing η, the model assumes TBM mixing. When η = λ, the model generates a solar angle and solar mass squared difference that coincide with the experimental best-fits. It motivates us to propose a mixing matrix in the neutrino sector, with θ 12 < sin −1 (1/ √ 3), θ 13 = 0 and θ 23 = π/4. The corrections in θ 13 and θ 23 are conducted following the breaking of µ − τ symmetry, by choosing a proper unitary diagonalizing charged lepton matrix, and this ensures the fact that θ 23 lies within the first octant. The Cabibbo angle (λ = sin θ c ) plays the role of a guiding parameter in both neutrino as well as leptonic sector. The effect of the Dirac CP violating phase δ cp is also studied when it enters either through the charged leptonic mixing matrix or through neutrino mixing matrix.