The neutrino mass: A triangular formulation

TL;DR

This paper presents a novel triangular formulation of neutrino mass and flavor oscillation, challenging the Higgs mechanism as the mass generator and predicting a normal hierarchy with specific mass eigenvalues.

Contribution

It introduces a new geometric framework using Quantum Yang Baxter equations to explain neutrino oscillations without symmetry breaking or Higgs mechanism.

Findings

Predicts a normal neutrino mass hierarchy.

Suggests the sum of mixing angles equals π/2.

Provides specific values for neutrino mass eigenvalues.

Abstract

We demonstrate that the flavor oscillation when a neutrino travels through spacetime, is equivalent to permanent changes on the vacuum state condition perceived by the same particle. This can be visualized via the Quantum Yang Baxter equations (QYBE). From this perspective, the neutrino never breaks the symmetry of the ground state because it never selects an specific vacuum condition. Then naturally the Higgs mechanism cannot be the generator of the neutrino masses. The constraints emerging from this model predict a normal mass hierarchy and some specific values for the mass eigenvalues once we fix the mixing angles. Interestingly, the model suggests that the sum of the mix angles is equal to $\pi/2$.