Parameterized Relativistic Dynamical Formalism for Transitions between Three Flavor States

TL;DR

This paper extends the parameterized relativistic dynamics framework to describe transitions among three neutrino flavor states, providing a covariant quantum approach to neutrino oscillations.

Contribution

It generalizes the PRD formalism from two to three mass states, specifically applying it to electron neutrino oscillations.

Findings

Successfully models three-flavor neutrino oscillations within PRD

Provides a covariant quantum description of neutrino flavor transitions

Enhances the theoretical understanding of neutrino dynamics

Abstract

Parameterized relativistic dynamics (PRD) is a manifestly covariant quantum theory with invariant evolution parameter. The theory has been applied to neutrino flavor oscillations between two mass states. It is generalized here to transitions between three mass states and applied to electron neutrino oscillations.