Non-abelian gauge structure in neutrino mixing

TL;DR

This paper explores a non-abelian gauge framework for neutrino flavor mixing, proposing a reformulation that maintains Poincaré invariance and examining its phenomenological implications.

Contribution

It introduces a novel non-abelian gauge approach to neutrino mixing that preserves fundamental symmetries and offers new insights into neutrino flavor states.

Findings

Reformulation maintains Poincaré invariance for flavor states

Provides a gauge-theoretic perspective on neutrino mixing

Explores phenomenological consequences of the gauge structure

Abstract

We discuss the existence of a non-abelian gauge structure associated with flavor mixing. In the specific case of two flavor mixing of Dirac neutrino fields, we show that this reformulation allows to define flavor neutrino states which preserve the Poincar\'e structure. Phenomenological consequences of our analysis are explored.