An Algebraic Analysis of Neutrino Masses and Mixings and its Implications on μ-τ Symmetric Mass Matrix

2019/05/20 by Duarah, Chandan
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1905.07910

Abstract

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- θ₁₂, θ₂₃, θ₁₃ and Dirac CP phase δ. We analyse our results in a special μ-τ symmetric mass matrix which corresponds to maximal atmospheric mixing (θ₂₃=π/4) and maximal CP violation (δ=-π/2). The analysis shows that a deviation of θ₂₃ from its maximal value can be correlated with the prediction of other two mixing angles.

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