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arXiv · 1512.06913

Flavor-Universal Form of Neutrino Oscillation Probabilities in Matter

Hisakazu Minakata
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Abstract

We construct a new perturbative framework to describe neutrino oscillation in matter with the unique expansion parameter ε, which is defined as Δm^2_{21} / Δm^2_{ren} with the renormalized atmospheric Δm^2_{ren} \equiv Δm^2_{31} - s^2_{12} Δm^2_{21}. It allows us to derive the maximally compact expressions of the oscillation probabilities in matter to order εin the form akin to those in vacuum. This feature allows immediate physical interpretation of the formulas, and facilitates understanding of physics of neutrino oscillations in matter. Moreover, quite recently, we have shown that our three-flavor oscillation probabilities P(ν_α\rightarrow ν_β) in all channels can be expressed in the form of universal functions of L/E. The ν_e disappearance oscillation probability P(ν_e \rightarrow ν_e) has a special property that it can be written as the two-flavor form which depends on the single frequency. This talk is based on the collaborating work with Stephen Parke [1].

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Hisakazu Minakata. 2015-12-21. Flavor-Universal Form of Neutrino Oscillation Probabilities in Matter. https://arxiv.org/abs/1512.06913

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