Analytic Neutrino Oscillation Probabilities

TL;DR

This paper derives exact analytic formulas for neutrino oscillation probabilities in complex matter environments, enabling distinction between different new physics scenarios and providing a public tool for experimental analysis.

Contribution

It introduces exact analytic expressions for multi-flavor neutrino oscillations in matter and demonstrates their use in distinguishing new physics scenarios.

Findings

Nonunitary and nonstandard interactions satisfy different identities.

Analytic formulas are implemented in the NuProbe software.

The approach enables experimental discrimination of new physics.

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.