Theoretical correlation between possible evidences of neutrino chiral oscillations and polarization measurements

TL;DR

This paper develops a formalism using the Dirac equation to analyze chiral oscillations of neutrinos in magnetic fields and explores how polarization measurements could reveal neutrino chirality conversion rates.

Contribution

It introduces a theoretical framework linking neutrino chiral oscillations with polarization measurements, considering non-minimal magnetic interactions.

Findings

Chiral oscillations can be described within the Dirac formalism for neutrinos.

Polarization measurements may determine neutrino chirality conversion rates.

Large magnetic fields orthogonal to neutrino propagation enhance detection feasibility.

Abstract

Reporting about the formalism with the Dirac equation we describe the dynamics of chiral oscillations for a fermionic particle non-minimally coupling with an external magnetic field. For massive particles, the chirality and helicity quantum numbers represent different physical quantities of representative importance in the study of chiral interactions, in particular, in the context of neutrino physics. After solving the interacting Hamiltonian (Dirac) equation for the corresponding {\em fermionic} Dirac-{\em type} particle (neutrino) and quantifying chiral oscillations in the Dirac wave packet framework, we avail the possibility of determining realistic neutrino chirality conversion rates by means of (helicity) polarization measurements. We notice that it can become feasible for some particular magnetic field configurations with large values of {\boldmath$B$} orthogonal to the direction of the propagating particle.