Features of Neutrino Mixing

Abstract

The elements (squared) of the neutrino mixing matrix are found to satisfy, as functions of the induced mass, a set of differential equations. They show clearly the dominance of pole terms when the neutrino masses "cross". Using the known vacuum mixing parameters as initial conditions, it is found that these equations have very good approximate solutions, for all values of the induced mass. The results are applicable to Long Baseline Experiments (LBL).

17 pages, 3 figures

References in corpus (5)

• Neutrino oscillations refitted
• Neutrino masses and mixings: Status of known and unknown $3\nu$ parameters
• Global Analyses of Neutrino Oscillation Experiments
• Renormalization of the quark mass matrix
• Rephasing invariance and the neutrino mu-tau symmetry

Cited by in corpus (11)

• Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
• Neutrino Oscillation in Dense Matter
• On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter
• Sum rules and asymptotic behaviors of neutrino mixing in dense matter
• Naumov- and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos
• Radiative corrections to the lepton flavor mixing in dense matter
• Continuous and Discrete Symmetries of Renormalization Group Equations for Neutrino Oscillations in Matter
• Rephasing invariance and permutation symmetry in flavor physics
• Flavor Mixing and the Permutation Symmetry among Generations
• Matter Effects of Sterile Neutrino in Light of Renormalization-Group Equations
• Hermitian Matrix Diagonalization and its Symmetry Properties