Relating the neutrino mixing angles to a lepton mass hierarchy

Abstract

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.

RevTeX 11 pages. Accepted for publication

References in corpus (7)

• Phenomenology with Massive Neutrinos
• Updated Values of Running Quark and Lepton Masses
• Multiple seesaw mechanisms of neutrino masses at the TeV scale
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• Quark mixing sum rules and the right unitarity triangle
• Leptonic CP Violation Induced by Approximately mu-tau Symmetric Seesaw Mechanism
• Neutrino Mass Hierarchies in a Mass Matrix Form Versus its Inverse Form

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• Lower bound on neutrino mass and possible CP violation in neutrino oscillations
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• Five Texture Zeros for Dirac Neutrino Mass Matrices
• Lepton Mixing and the Neutrino Mixing Angle theta_13
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Implications of ${\delta }_l^{CP}\sim 270^{\circ }$ and ${\theta }_{23}\gtrsim 45^{\circ }$ for texture specific lepton mass matrices and $0\nu \beta \beta$ decay
• Investigating texture six zero lepton mass matrices
• Relating Lepton Mixing Angles with Lepton Mass Hierarchy