Neutrino mixing in matter

Abstract

Three-neutrino mixing in matter is studied through a set of evolution equations which are based on a rephasing invariant parametrization. Making use of the known properties of measured neutrino parameters, analytic, approximate, solutions are obtained. Their accuracy is confirmed by comparison with numerical integration of these equations. The results, when expressed in the elements squared of the mixing matrix, exhibit striking patterns as the matter density varies.

Revised, 5 pages, 3 figures, references added.

References in corpus (3)

• Neutrino 2-3 Symmetry and Inverted Hierarchy
• Rephasing Invariant Parametrization of Flavor Mixing Matrices
• Mass Matrices and Their Renormalization

Cited by in corpus (12)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Renormalization-Group Equations of Neutrino Masses and Flavor Mixing Parameters in Matter
• Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
• Neutrino Oscillation in Dense Matter
• Why Is The Neutrino Oscillation Formula Expanded In $\Delta m_{21}^2/\Delta m_{31}^2$ Still Accurate Near The Solar Resonance In Matter?
• Features of Neutrino Mixing
• Renormalization of the Neutrino Mass Matrix
• Rephasing invariance and the neutrino mu-tau symmetry
• Properties of the Neutrino Mixing Matrix
• Rephasing invariance and neutrino mixing
• Rephasing invariance and permutation symmetry in flavor physics
• Matter Effects of Sterile Neutrino in Light of Renormalization-Group Equations