Rephasing invariance and neutrino mixing

TL;DR

This paper introduces a rephasing invariant parametrization for three-flavor neutrino mixing, deriving evolution equations for neutrino propagation in matter that reveal stable features and patterns in the mixing matrix.

Contribution

It presents a novel rephasing invariant parametrization and derives evolution equations for neutrino mixing in matter, highlighting stable features and patterns.

Findings

Evolution equations preserve key features of the mixing matrix.

Approximate solutions match numerical integrations closely.

Rephasing invariants provide a stable framework for neutrino mixing analysis.

Abstract

A rephasing invariant parametrization is introduced for three flavor neutrino mixing. For neutrino propagation in matter, these parameters are shown to obey evolution equations as functions of the induced neutrino mass. These equations are found to preserve (approximately) some characteristic features of the mixing matrix, resulting in solutions which exhibit striking patterns as the induced mass varies. The approximate solutions are compared to numerical integrations and found to be quite accurate.