Neutrino Mass Matrix Subject to $μ-τ$ Symmetry and Invariant under a Cyclic Permutation

Details Neutrino Mass Matrix Subject to $μ-τ$ Symmetry and Invariant under a Cyclic Permutation Neutrino Mass Matrix Subject to $μ-τ$ Symmetry and Invariant under a Cyclic Permutation

2010-04-09

arxiv.org/abs/1004.1457v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, Talk given at CTP BUE International Conference on Neutrino Physics in the LHC Era, Luxor, Egypt, 15-19 November 2009

Scientific paper

Neutrino masses arise via a seesaw mechanism and its mass hierarchy, with assumption that heavy Majorana neutrino mass matrix subject to $\mu-\tau$ symmetry and invariant under a cyclic permutation, are evaluated. Within this scenario, the neutrino masses: $\left|m_{1}\right|=\left|m_{2}\right|<\left|m_{3}\right|$ are obtained, which are incompatible with the experimental data. By modifying neutrino mass matrix with the zero sum rule condition, the neutrino masses in inverted hierarchy: $\left|m_{3}\right|<\left|m_{1}\right|<\left|m_{2}\right|$ are obtained.

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