Speakers
Description
Neutrino oscillations are a natural consequence of the fact that the neutrinos have nonzero masses. Until now, most parameters related to the mixing matrix and the neutrino mass differences have been measured with different degrees of precision. In this poster we make a geometrical model for understanding neutrino oscillations and the origin of their mass eigenvalues. In this model, the mixing matrix is a rotation matrix in three dimensions. The three eigenvalues of masses are then the principal semi-axes of an ellipsoid. Additionally, the rotation matrix containing the mixing angles is, from this perspective, a rotation in three-dimensions of the ellipsoid from the axis of masses toward the axis of flavors. Finally, we introduce a triangular relation between the three masses, inspired on the Quantum Yang Baxter Equations (QYBE). The model suggests some constraints which allows us to find relations between the neutrino masses and the mixing angles. We then predict the values of the masses and the value of the mixing angle $\theta_{23}$.
