Paper detail

Relating the neutrino mixing angles to a lepton mass hierarchy

We propose two phenomenological scenarios of lepton mass matrices and show that either of them can exactly give rise to \tan^2θ_{13} = m_e/(m_e + 2m_μ), \tan^2θ_{23} = m_μ/(m_e + m_μ) and \tan^2θ_{12} = (m_e m_2 + 2m_μm_1)/(m_e m_1 + 2m_μm_2) in the standard parametrization of lepton flavor mixing. The third relation, together with current experimental data, predicts a normal but weak hierarchy for the neutrino mass spectrum. We also obtain θ_{13} \approx 2.8^\circ for the smallest neutrino mixing angle and J \approx 1.1% for the Jarlskog invariant of leptonic CP violation, which will soon be tested in the long-baseline reactor and accelerator neutrino oscillation experiments. A seesaw realization of both scenarios is briefly discussed.