Neutrino oscillations from the perspective of the quantum Yang-Baxter equations

TL;DR

This paper explores neutrino oscillations through the lens of quantum Yang-Baxter equations, proposing a novel mathematical framework to describe flavor transitions and estimate neutrino masses.

Contribution

It introduces a new approach linking neutrino oscillations to the quantum Yang-Baxter equations, providing a mathematical model for flavor transition probabilities.

Findings

Defined a probability matrix consistent with Yang-Baxter equations

Estimated neutrino mass eigenvalues within a new framework

Linked neutrino flavor transitions to quantum integrability

Abstract

The origins of neutrino masses is one of the biggest mysteries in modern physics since they are beyond the realm of the Standard Model. As massive particles, neutrinos undergo flavor oscillations throughout their propagation. In this paper we show that when a neutrino oscillates from a flavor state {\alpha} to a flavor state \b{eta}, it follows three possible paths consistent with the Quantum Yang- Baxter Equations. These trajectories define the transition probabilities of the oscillations. Moreover, we define a probability matrix for flavor transitions consistent with the Quantum Yang-Baxter Equations, and estimate the values of the three neutrino mass eigenvalues within the framework of the triangular formulation.