Symplectic Symmetry of the Neutrino Mass For Many Neutrino Flavors

TL;DR

This paper explores the algebraic structure of the neutrino mass Hamiltonian, revealing symplectic symmetry for multiple neutrino flavors, which could deepen understanding of neutrino properties and mass mechanisms.

Contribution

It identifies the Sp(8) algebraic structure of the neutrino mass Hamiltonian for two flavors and discusses its generalization to more flavors, advancing theoretical understanding.

Findings

Neutrino mass Hamiltonian exhibits Sp(8) symmetry for two flavors

Algebraic structure generalizes to multiple neutrino flavors

Provides a framework for analyzing neutrino mass symmetries

Abstract

The algebraic structure of the neutrino mass Hamiltonian is presented for two neutrino flavors considering both Dirac and Majorana mass terms. It is shown that the algebra is Sp(8) and also discussed how the algebraic structure generalizes for the case of more than two neutrino flavors.