An analytic effective theory of the sterile-active MSW resonance in the (3+1) model reveals that only three channels, P(νe→νe), P(ν̄e→ν̄e), and P(ν̄μ→ν̄τ), carry unsuppressed on-peak resonance effects.
Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter
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abstract
We further develop a simple and compact technique for calculating the three flavor neutrino oscillation probabilities in uniform matter density. By performing additional rotations instead of implementing a perturbative expansion we significantly decrease the scale of the perturbing Hamiltonian and therefore improve the accuracy of zeroth order. We explore the relationship between implementing additional rotations and that of performing a perturbative expansion. Based on our analysis, independent of the size of the matter potential, we find that the first order perturbation expansion can be replaced by two additional rotations and a second order perturbative expansion can be replaced by one more rotation. Numerical tests have been applied and all the exceptional features of our analysis have been verified.
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Sterile-active resonance: A global qualitative picture
An analytic effective theory of the sterile-active MSW resonance in the (3+1) model reveals that only three channels, P(νe→νe), P(ν̄e→ν̄e), and P(ν̄μ→ν̄τ), carry unsuppressed on-peak resonance effects.