Lepton Mass Hierarchy and Neutrino Mixing

Abstract

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$ lepton flavor mixing matrix. Its mixing angles ${\theta }_l$ and ${\theta }_{\nu }$ can be related to the mass ratios $m_e/m_{\mu }$ and $m_1/m_2$ in a specific texture of lepton mass matrices with vanishing (1,1) elements: $\tan {\theta }_l=\sqrt{m_e/m_{\mu }}$ and $\tan {\theta }_{\nu }=\sqrt{m_1/m_2}$. The latter relation, together with solar and atmospheric neutrino oscillation data, predicts 0.0030 eV $\lesssim m_1\lesssim$ 0.0073 eV, 0.009 eV $\lesssim m_2\lesssim$ 0.012 eV and 0.042 eV $\lesssim m_3\lesssim$ 0.058 eV. The smallest neutrino mixing angle is found to be ${\theta }_{13}\approx {\theta }_l/\sqrt{2}\approx 3^{\circ }$, which is experimentally accessible in the near future.

RevTex 10 pages, 2 figures

References in corpus (30)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Status of global fits to neutrino oscillations
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• Lepton Mass Hierarchy and Neutrino Oscillations
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Flavor Mixing and CP Violation of Massive Neutrinos
• Flavor Symmetries and the Description of Flavor Mixing
• Implications of neutrino data circa 2005
• Maximal Neutrino Mixing and Maximal CP Violation
• Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental Tests
• A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle
• On the Parametrization of Flavor Mixing in the Standard Model
• The Light Quark Sector, CP Violation, and the Unitarity Triangle
• A Systematic Study of Neutrino Mixing and CP Violation from Lepton Mass Matrices with Six Texture Zeros
• Hierarchical Neutrino Masses and Large Mixing Angles from the Fritzsch Texture of Lepton Mass Matrices
• Democratic Neutrino Mixing Reexamined
• Predictions from the Fritzsch-Type Lepton Mass Matrices
• Maximal CP Violation Hypothesis and Phase Convention of the CKM Matrix
• Radiative Generation of Leptonic CP Violation
• Isomeric Lepton Mass Matrices and Bi-large Neutrino Mixing
• A Novel Parametrization of tau-lepton Dominance and Simplified One-loop Renormalization-group Equations of Neutrino Mixing Angles and CP-violating Phases
• Seesaw Invariance of Fritzsch-like Neutrino Mass Matrices, Leptogenesis and Lepton Flavor Violation
• Bounds on \sin 2βand |V_{ub}/V_{cb}| from the Light-Quark Triangle
• Hierarchy and Up-Down Parallelism of Quark Mass Matrices

Cited by in corpus (19)

• A review of mu-tau flavor symmetry in neutrino physics
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Relating the neutrino mixing angles to a lepton mass hierarchy
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• Understanding for flavor physics in the lepton sector
• Constructing the Leptonic Unitarity Triangle
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• Five Texture Zeros for Dirac Neutrino Mass Matrices
• Lowering solar mixing angle in inverted hierarchy without charged lepton corrections
• Lepton Mixing and the Neutrino Mixing Angle theta_13
• The Fundamental Constants in Physics and their Time Dependence
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Flavor Mixing, Quark Masses, Neutrino Masses and Neutrino Oscillations
• The mixing angle as a function of neutrino mass ratio
• Flavor Symmetries, Neutrino Masses and Neutrino Mixing
• Relating Lepton Mixing Angles with Lepton Mass Hierarchy