Features of Neutrino Mixing

TL;DR

This paper derives differential equations governing neutrino mixing matrix elements as functions of induced mass, revealing pole term dominance during mass crossing and providing approximate solutions relevant for Long Baseline Experiments.

Contribution

It introduces a set of differential equations for neutrino mixing elements dependent on induced mass, with solutions applicable across various mass values.

Findings

Pole terms dominate during neutrino mass crossing.

Approximate solutions are valid for all induced mass values.

Results are applicable to Long Baseline Neutrino Experiments.

Abstract

The elements (squared) of the neutrino mixing matrix are found to satisfy, as functions of the induced mass, a set of differential equations. They show clearly the dominance of pole terms when the neutrino masses "cross". Using the known vacuum mixing parameters as initial conditions, it is found that these equations have very good approximate solutions, for all values of the induced mass. The results are applicable to Long Baseline Experiments (LBL).