Neutrino Oscillations as a Lepton-Flavor-Violating Interaction

TL;DR

This paper proposes a novel approach to neutrino oscillations using an off-diagonal neutrino-Higgs interaction within quantum mechanics and field theory, aiming to address fundamental questions about neutrino properties and dark matter.

Contribution

It introduces a unique quantum mechanical description of neutrino oscillations via off-diagonal mass interactions in an extended Standard Model framework.

Findings

Provides a new theoretical framework for neutrino oscillations

Suggests explanations for the small neutrino masses and generation number

Addresses the dark matter abundance in the universe

Abstract

To describe neutrino oscillations in the sense of quantum mechanics and quantum field theory, we propose to use an off-diagonal neutrino-Higgs (mass) interaction, as discussed originally in a family gauge theory and in the extended Standard Model. For neutrino oscillations which take place presumably between point-like Dirac particles, the proposed description would be unique in the quantum mechanics sense. This may help us to resolve a few outstanding puzzles - the question of why there are only three generations, the question of why the masses of neutrinos are so tiny, the question of why neutrinos oscillate, and the question of why the dark-matter world is so huge (25%) as compared to the visible ordinary-matter world (5%).