Analytic Neutrino Oscillation Probabilities

Abstract

In the work, we derive exact analytic expressions for $(3+N)$-flavor neutrino oscillation probabilities in an arbitrary matter potential in term of matrix elements and eigenvalues of the Hamiltonian. With the analytic expressions, we demonstrate that nonunitary and nonstandard neutrino interaction scenarios are physically distinct: they satisfy different identities and can in principle be distinguished experimentally. The analytic expressions are implemented in a public code NuProbe, a tool for probing new physics through neutrino oscillations.

Comments: A new Figure 2 and an expanded discussion on the strategy to distinguish nonunitarity and NSI scenarios thanks to the referee of SciPost. The normalization of Figure 3 (previously Figure 2) changed for easier reading. A new very relevant reference [34] added thanks to Hisakazu Minakata. NuProbe code available at https://github.com/shengfong/nuprobe