Parametric enhancement of flavor oscillation in a three-neutrino framework

Abstract

When neutrinos travel through matter with a periodic density profile, the neutrino oscillation probability can be enhanced if certain conditions are satisfied. In a two-neutrino framework, the condition for parametric resonance is known. Herein, we consider the analogous parametric resonance condition within the context of a full three-neutrino framework with two oscillation scales. For energies in the range of hundreds of MeV to a few GeV, we find that neutrino oscillation can be parametrically enhanced if two approximate relations are satisfied. The first is similar to the two-neutrino parametric resonance condition while the second involves the other oscillation scale. Treating the Earth's density as piecewise constant, we show that oscillations in this energy range can be enhanced between two- and threefold.

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Cited by in corpus (2)

• The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations
• Parameter symmetries of neutrino oscillations in vacuum, matter, and approximation schemes