Neutrino Oscillation, Finite Self-Mass and General Yang-Mills Symmetry

TL;DR

This paper proposes a new general Yang-Mills symmetry framework that leads to finite lepton self-masses, implying neutrinos have non-zero masses, which could explain neutrino oscillations and dark matter.

Contribution

It introduces a novel general Yang-Mills symmetry with vector gauge functions, resulting in fourth-order equations and finite lepton self-masses, advancing understanding of neutrino properties.

Findings

Lepton self-masses are finite and inversely proportional to lepton masses.

Neutrinos are predicted to have non-zero masses.

Neutrinos may contribute to dark matter.

Abstract

The conservation of lepton number is assumed to be associated with a general Yang-Mills symmetry. New transformations involve (Lorentz) vector gauge functions and characteristic phase functions, and they form a group. General Yang-Mills fields are associated with new fourth-order equations and linear potentials. Lepton self-masses turn out to be finite and proportional to the inverse of lepton masses, which implies that neutrinos should have non-zero masses. Thus, general Yang-Mills symmetry could provide an understanding of neutrino oscillations and suggests that neutrinos with masses and very weak leptonic force may play a role in dark matter.