Degenerate neutrino mass models revisited

Abstract

A parametrisation of the degenerate neutrino mass matrix obeying $μ-τ$ symmetry, is introduced for detailed numerical analysis. As a continuation of our earlier work on normal and inverted hierarchical models, the present parametrisation for degenerate models has the ability to lower the solar mixing angle below the tri-bimaximal value $\tan^{2}θ_{12}=0.5$, while maintaining the condition of maximal atmospheric mixing angle and zero reactor angle. The combined data on the mass-squared differences derived from various oscillation experiments, and also from the bounds on absolute neutrino masses in $0νββ$ decay and cosmology, gives certain constraints on the validity of the degenerate models.